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Question 4861Question

In economic taxonomy, traditional economies resolve basic economic problems through non-market mechanisms. Match each operational aspect of a traditional economic system in Column A with its corresponding defining feature in Column B.

Click a left item, then click its matching right item

Items

Resource Allocation Basis
Primary Production Goal
Mode of Transaction
Asset Tenure System

Matches

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Answer

The operational aspects of a traditional economy match their defining features as follows: Resource Allocation Basis matches ancestral customs and age-grade traditions; Primary Production Goal matches subsistence output aimed at immediate consumption; Mode of Transaction matches direct exchange of commodities without currency (barter); Asset Tenure System matches custodianship of productive land vested in the lineage or tribal chief.
Each feature accurately reflects the socio-economic realities of traditional systems: resource allocation is dictated by ancestral customs, production targets subsistence survival, commerce relies on trade by barter, and land control is vested in traditional custodians under customary law.

Step-by-Step Solution

1
Analyze the Resource Allocation Basis
Identify that traditional economies use heritage, caste, or age-grade customs to decide production questions, matching Ancestral customs and age-grade traditions.
Traditional economies lack price mechanisms or central planning bodies to allocate resources.
2
Analyze the Primary Production Goal
Identify that economic activity is subsistence-oriented rather than market-driven, matching Subsistence output aimed strictly at immediate household consumption.
Surplus accumulation and commercial profit maximization are rare due to limited technological innovation.
3
Analyze the Mode of Transaction
Identify that trade occurs via barter, matching Direct exchange of commodities without reliance on a standardized monetary medium of exchange.
Money is generally absent or underdeveloped in purely traditional societies.
4
Analyze the Asset Tenure System
Identify that land tenure is communal and managed by tribal authority, matching Custodianship of productive land vested in the lineage, clan, or tribal chief.
Customary land holding rights supersede individual private property deeds.

Key Concept

Key features and structural organization of a Traditional Economic System
Estimated Time:2m 0s
Question 4862Question

The table below presents the total utility schedule for a consumer consuming successive units of commodity ZZ:

Units of ZZTotal Utility (utils)
118
232
342
448
550

If the market price of commodity ZZ is N6\mathbb{N}6 per unit and 1 util=N11\text{ util} = \mathbb{N}1, what is the consumer surplus at the equilibrium level of consumption?

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Answer: \mathbb{N}24

Answer

\mathbb{N}24
The option specifying \(\mathbb{N}24\) is correct. Marginal utility per unit is derived as: Unit 1 = 18, Unit 2 = 14, Unit 3 = 10, Unit 4 = 6, Unit 5 = 2. With price \(P_Z = \mathbb{N}6\), consumer equilibrium condition \(MU_Z = P_Z\) is satisfied at 4 units of consumption. At 4 units, Total Utility is \(\mathbb{N}48\) and Total Expenditure is \(4 \times \mathbb{N}6 = \mathbb{N}24\). Consumer surplus is \(48 - 24 = \mathbb{N}24\).

Step-by-Step Solution

1
Calculate Marginal Utility (MU) for each unit consumed
MU1=18MU_1 = 18, MU2=14MU_2 = 14, MU3=10MU_3 = 10, MU4=6MU_4 = 6, MU5=2MU_5 = 2
Marginal utility is the change in total utility resulting from consuming one additional unit (MUn=TUnTUn1MU_n = TU_n - TU_{n-1}).
2
Determine the consumer equilibrium quantity
Equilibrium occurs at 4 units because MU4=N6=PZMU_4 = \mathbb{N}6 = P_Z
Under cardinal utility analysis, a consumer maximizes utility for a single commodity when MU=PMU = P (in monetary terms).
3
Calculate Total Expenditure at equilibrium
\text{Total Expenditure} = 4 \times \mathbb{N}6 = \mathbb{N}24
Total expenditure is calculated by multiplying the equilibrium quantity by the unit price.
4
Compute Consumer Surplus
\text{Consumer Surplus} = \text{Total Utility} - \text{Total Expenditure} = \mathbb{N}48 - \mathbb{N}24 = \mathbb{N}24
Consumer surplus is the net monetary gain derived from consumption, calculated as the total utility minus total amount paid.

Key Concept

Cardinal Consumer Equilibrium and Consumer Surplus Calculation
Estimated Time:1m 30s
Question 4863Question

Lower invertebrates display key evolutionary innovations in their body plans, cellular organizations, and functional systems. Pair each of the following invertebrate phyla on the left with its defining structural feature on the right.

Click a left item, then click its matching right item

Items

Porifera
Coelenterata
Platyhelminthes
Nematoda

Matches

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Answer

Porifera matches with presence of flagellated choanocytes; Coelenterata matches with specialized stinging nematocysts; Platyhelminthes matches with flame cells (protonephridia); Nematoda matches with fluid-filled pseudocoelom.
Each phylum is accurately matched with its primary evolutionary diagnostic feature: Porifera rely on choanocytes for feeding, Coelenterata utilize nematocysts for capture and defense, Platyhelminthes possess flame cells for osmoregulation, and Nematoda feature a pseudocoelom functioning as a hydrostatic skeleton.

Step-by-Step Solution

1
Analyze the characteristic features of Porifera
Porifera (sponges) possess specialized collar cells with flagella called choanocytes.
Choanocytes create water currents inside sponges to facilitate intracellular digestion.
2
Analyze the characteristic features of Coelenterata
Coelenterata (cnidarians) possess cnidocytes containing stinging capsules called nematocysts.
Nematocysts discharge toxins to immobilize prey and provide defense.
3
Analyze the characteristic features of Platyhelminthes
Platyhelminthes (flatworms) possess flame cells as their excretory units.
Flame cells harbor cilia that flicker like a flame to pump fluid out of the organism for osmoregulation.
4
Analyze the characteristic features of Nematoda
Nematoda (roundworms) feature an unsegmented body with a pseudocoelom.
The pseudocoelom is derived from the embryonic blastocoel and acts as a hydrostatic skeleton for movement.

Key Concept

Diagnostic anatomical structures and body cavity configurations of lower invertebrate phyla
Estimated Time:1m 30s
Question 4864Question

In a given year, a country recorded a Nominal Gross Domestic Product (GDP) of $500 billion\$500\text{ billion}. The GDP deflator for the year was 125125 (with a base year index of 100100), and the total population was 50 million50\text{ million}. What was the Real Per Capita Income of the country in dollars?

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Answer: 8000

Answer

The Real Per Capita Income of the country is $8,000.
To compute the Real Per Capita Income, Nominal GDP is first converted to Real GDP using the GDP deflator: $500 billion125×100=$400 billion\frac{\$500\text{ billion}}{125} \times 100 = \$400\text{ billion}. Dividing this real income figure by the population of 50 million50\text{ million} gives an average real per capita income of $8,000\$8,000.

Step-by-Step Solution

1
Deflate Nominal GDP to obtain Real GDP
Real GDP = $400 billion
Real GDP removes the inflationary effect measured by the GDP deflator.
2
Divide Real GDP by the population size
Real Per Capita Income = $8,000
Per capita real income measures average real economic output per person.

Key Concept

Real GDP and Per Capita Income Derivation
Estimated Time:1m 30s
Question 4865Question

According to Charles Darwin's theory of natural selection, evolutionary changes occur in a specific logical sequence. Arrange the following processes in the correct chronological order in which natural selection acts upon a biological population.

Drag items to arrange them in the correct order

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Answer

The correct logical sequence of natural selection is: Overproduction leading to competition, pre-existing inherited variation, differential survival and reproduction of favored individuals, followed by population adaptation across generations.
Natural selection begins when overproduction of offspring causes competition for limited resources. Pre-existing inherited variations determine which individuals survive environmental pressure. Favorable traits allow greater reproductive success, increasing the trait's frequency in future generations.

Step-by-Step Solution

1
Identify the initiating condition in Darwin's model.
Overproduction of offspring occurs, leading to environmental resource limitation and competition.
Populations naturally produce excess offspring, creating a struggle for existence.
2
Determine the substrate upon which selection acts.
Inherited variation must already exist within the population.
Without pre-existing phenotypic variation, differential survival cannot select for specific traits.
3
Analyze the interaction between variation and environmental pressure.
Individuals with traits favored by the environment survive and reproduce at higher rates.
Differential reproduction ensures favorable alleles are passed to the next generation.
4
Establish the long-term population outcome.
The frequency of advantageous traits increases in subsequent generations.
Evolution by natural selection is defined as a change in population characteristics over time.

Key Concept

Darwinian Mechanism of Evolutionary Change by Natural Selection
Question 4866Question

In the short run, a firm operating in a perfectly competitive market achieves profit maximization by expanding output up to the level where marginal cost (MCMC) is equal to which of the following?

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Answer: Marginal revenue (MRMR), which is also equal to market price (PP)

Answer

Marginal revenue (MRMR), which is also equal to market price (PP)
Under perfect competition, each firm is a price taker facing a perfectly elastic demand curve where market price equals marginal revenue (P=MRP = MR). The universal rule for profit maximization requires producing output where marginal revenue equals marginal cost (MR=MCMR = MC). Therefore, the firm maximizes short-run profit where marginal cost equals marginal revenue and price.

Step-by-Step Solution

1
Identify the firm's market structure
The firm operates under perfect competition where it is a price taker facing a perfectly elastic horizontal demand curve, making P=AR=MRP = AR = MR.
Individual competitive firms cannot influence market price.
2
Apply the general profit maximization rule
Profit is maximized where marginal revenue equals marginal cost (MR=MCMR = MC).
If MR>MCMR > MC, producing an additional unit adds more to revenue than cost. If MR<MCMR < MC, reducing production saves more cost than revenue lost.
3
Combine the conditions
The short-run output determination condition is P=MR=MCP = MR = MC.
Since price equals marginal revenue for a competitive firm, MCMC must equal both MRMR and PP.

Key Concept

Short-run Profit Maximization under Perfect Competition (P=MR=MCP = MR = MC)
Estimated Time:45s
Question 4867Question

Which economic policy in Nigeria involves re-organizing state-owned enterprises to operate as profit-oriented entities while retaining full government ownership?

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Answer: Commercialization

Answer

Commercialization is the policy that restructures state-owned enterprises to run on commercial principles and generate profit while maintaining government ownership.
Commercialization is the economic reform policy where government-owned enterprises are restructured to operate profit-oriented and self-sustaining operations without transferring equity ownership to private entities.

Step-by-Step Solution

1
Identify the key requirement of the policy mentioned in the stem.
The policy requires public enterprises to operate on commercial terms and make profits while remaining fully owned by the state.
Understanding the distinction between ownership transfer and operational restructuring is essential for classifying Nigerian economic reform policies.
2
Evaluate the definition of Commercialization against the requirement.
Commercialization aims to increase efficiency and financial autonomy of public utilities without selling equity to private investors.
State-owned firms under commercialization operate like private commercial businesses but remain government assets.

Key Concept

Commercialization of Public Enterprises
Estimated Time:45s
Question 4868Question

Match each economic commodity or scenario on the left with its corresponding classification of demand on the right.

Click a left item, then click its matching right item

Items

Petrol and motor vehicles
Tea and coffee
Farm labour for agricultural production
Electricity used for lighting, cooking, and powering machinery

Matches

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Answer

Petrol and motor vehicles match with Joint (Complementary) demand; Tea and coffee match with Competitive demand; Farm labour for agricultural production matches with Derived demand; Electricity used for lighting, cooking, and powering machinery matches with Composite demand.
Each commodity pair or scenario aligns with its defined classification of demand: petrol and cars are used together (joint demand), tea and coffee are substitutes (competitive demand), farm labour is needed for output production (derived demand), and electricity serves multiple functions (composite demand).

Step-by-Step Solution

1
Analyze 'Petrol and motor vehicles'
Since petrol and cars must be used together to provide transportation, they exhibit joint (complementary) demand.
Joint demand occurs when two or more goods are required together to satisfy a specific need.
2
Analyze 'Tea and coffee'
Tea and coffee serve as alternative goods satisfying similar beverage preferences, so they exhibit competitive demand.
Competitive demand occurs between substitute commodities where an increase in demand for one reduces demand for the other.
3
Analyze 'Farm labour for agricultural production'
Labour is demanded to produce crops rather than for direct consumption, representing derived demand.
Derived demand exists when the demand for a factor of production depends on the demand for the final output it helps produce.
4
Analyze 'Electricity used for lighting, cooking, and powering machinery'
Because electricity can be put to multiple different uses, it represents composite demand.
Composite demand refers to total demand for a product or resource that has multiple applications or uses.

Key Concept

Types of Demand (Joint, Competitive, Derived, and Composite)
Question 4869Question

A software engineer in Lagos currently earns a salary of 500,000₦500,000 per month. She is considering quitting her job for one year to pursue one of two mutually exclusive opportunities:

- Opportunity X: Establish an independent tech startup requiring an initial capital investment of 3,000,000₦3,000,000, which she must withdraw from her fixed deposit account currently yielding 12%12\% per annum interest. The startup is expected to generate 15,000,000₦15,000,000 in total revenue over the year, with total operating expenses (office rent, server infrastructure, and wages) amounting to 6,500,000₦6,500,000.
- Opportunity Y: Work as an overseas remote contractor earning a net salary of 900,000₦900,000 per month with zero capital investment required.

Calculate, in Naira (), the economic opportunity cost of choosing Opportunity X for the year.

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Answer: 11160000

Answer

The economic opportunity cost of choosing Opportunity X for the year is ₦11,160,000.
The economic opportunity cost of an action is defined as the total benefit of the next best alternative foregone. By choosing Opportunity X, the software engineer gives up Opportunity Y (worth ₦900,000 × 12 = ₦10,800,000) as well as the interest her ₦3,000,000 capital would have earned in the fixed deposit account (12% of ₦3,000,000 = ₦360,000). Together, the total sacrificed value of this highest-ranked foregone package equals ₦10,800,000 + ₦360,000 = ₦11,160,000.

Step-by-Step Solution

1
Calculate the annual income of all alternative employment options available during the year.
Current Job annual income = ₦500,000 × 12 = ₦6,000,000. Opportunity Y annual income = ₦900,000 × 12 = ₦10,800,000.
Opportunity cost evaluates the sacrifice made regarding alternative choices foregone.
2
Calculate the foregone interest earned if funds remain in the fixed deposit account.
Foregone annual interest = 12% of ₦3,000,000 = ₦360,000.
Selecting Opportunity Y or retaining her current job would leave the ₦3,000,000 intact in savings, earning 12% interest.
3
Determine the net value of the single best foregone alternative option.
Value of Next Best Alternative (Opportunity Y + Savings Interest) = ₦10,800,000 + ₦360,000 = ₦11,160,000.
Economic opportunity cost is defined as the total value of the highest-valued alternative option foregone.

Key Concept

Opportunity Cost as the Next Best Alternative Foregone
Estimated Time:3m 0s
Question 4870Question

A major agricultural processing firm operates as the sole buyer of cocoa beans in a rural region. In profit-maximizing equilibrium, how do the prices paid to farmers and the quantity of cocoa purchased by this monopsonist compare to outcomes in a competitive market?

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Answer: Both the price paid to farmers and the quantity purchased are lower.

Answer

Both the price paid to farmers and the quantity purchased are lower in a monopsonistic market than in a competitive market.
Because a monopsonist is the sole buyer, its Marginal Factor Cost (MFCMFC) exceeds the market supply price (AFCAFC). To maximize profit, it equates MFCMFC with Marginal Revenue Product (MRPMRP), resulting in both a restricted quantity purchased and a depressed price paid to sellers compared to competitive market equilibrium.

Step-by-Step Solution

1
Identify the market structure and supply conditions.
The firm is a monopsony (sole buyer). It faces an upward-sloping supply curve for the input, meaning to buy more units, it must increase the price for all units bought.
Because the supply curve slopes upward, the Marginal Factor Cost (MFCMFC) lies above the Supply curve (Average Factor Cost, AFCAFC).
2
Determine the profit-maximizing purchasing decision.
The firm sets quantity where MFC=MRPMFC = MRP (Marginal Revenue Product), purchasing quantity QmQ_m, which is lower than competitive quantity QcQ_c (where Supply = MRPMRP).
Profit maximization requires equating the extra cost of hiring/buying one more unit with the extra revenue generated by that unit.
3
Determine the price paid to suppliers.
The firm pays the price PmP_m indicated on the supply curve for quantity QmQ_m, which is lower than the competitive equilibrium price PcP_c.
The monopsonist uses its market power to pay the lowest price suppliers are willing to accept for quantity QmQ_m.

Key Concept

Monopsony Equilibrium and Factor Price Depresssion
Estimated Time:1m 0s
Question 4871Question

A consumer obtains an average utility (AUAU) of 1515 utils from consuming 44 units of bottled water. When the 5th5^{\text{th}} unit is consumed, the marginal utility (MUMU) derived is 2525 utils. If consuming the 6th6^{\text{th}} unit brings the consumer's total utility (TUTU) to 9696 utils, what is the average utility (AUAU) per unit, in utils, when 66 units are consumed?

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Answer: 16

Answer

The average utility per unit when 6 units are consumed is 16 utils.
To find the average utility after 6 units, determine total utility at 4 units (15×4=6015 \times 4 = 60 utils). Adding the marginal utility of the 5th unit (2525 utils) gives a total utility of 8585 utils for 5 units. Since total utility for 6 units is given as 9696 utils, dividing by quantity (96/696 / 6) yields an average utility of 1616 utils.

Step-by-Step Solution

1
Calculate Total Utility for 4 units (TU4TU_4)
TU4=60TU_4 = 60 utils
Total utility is calculated by multiplying average utility by the quantity consumed: TU4=AU4×4=15×4=60TU_4 = AU_4 \times 4 = 15 \times 4 = 60 utils.
2
Calculate Total Utility for 5 units (TU5TU_5)
TU5=85TU_5 = 85 utils
Total utility of 5 units equals total utility of 4 units plus the marginal utility of the 5th unit: TU5=TU4+MU5=60+25=85TU_5 = TU_4 + MU_5 = 60 + 25 = 85 utils.
3
Identify Total Utility for 6 units (TU6TU_6)
TU6=96TU_6 = 96 utils
The total utility after consuming 6 units is given directly in the problem description as 96 utils.
4
Calculate Average Utility for 6 units (AU6AU_6)
AU6=16AU_6 = 16 utils
Average utility is calculated by dividing total utility by total units consumed: AU6=TU66=966=16AU_6 = \frac{TU_6}{6} = \frac{96}{6} = 16 utils.

Key Concept

Mathematical interrelationships between Total Utility (TU), Average Utility (AU), and Marginal Utility (MU)
Question 4872Question

Match each public expenditure concept or theoretical model on the left with its corresponding operational definition or economic characteristic on the right.

Click a left item, then click its matching right item

Items

Wagner's Law of Increasing State Activities
Peacock-Wiseman Displacement Effect
Recurrent Expenditure
Transfer Payments

Matches

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Answer

Wagner's Law matches the concept that public expenditure grows continuously and faster than national income during industrialization. The Peacock-Wiseman Displacement Effect matches step-like increases in public spending caused by social crises. Recurrent Expenditure matches ongoing administrative operational expenses such as wages. Transfer Payments match government redistributive spending where no current economic goods or services are received.
Each concept correctly aligns with its theoretical formulation or public accounting definition. Wagner's Law describes continuous spending expansion exceeding GDP growth, Peacock-Wiseman explains crisis-induced step-wise displacement, recurrent expenditure covers routine operational running costs, and transfer payments represent unrequited redistributive outlays.

Step-by-Step Solution

1
Identify long-term structural theories of public expenditure growth
Wagner's Law specifies continuous, organic expansion of the public sector relative to GDP as society industrializes.
It explains the income elasticity of demand for public goods during development.
2
Differentiate emergency or shock-driven spending growth hypotheses
The Peacock-Wiseman Hypothesis focuses on structural shifts ('displacement effect') where emergency situations ratchet up public expenditure levels permanently.
Public spending stays elevated after socio-economic crises resolve.
3
Classify government budget expenditures based on durability and output involvement
Recurrent spending covers operational running costs within the year, while transfer payments involve redistribution without corresponding factor output.
Transfer payments do not contribute directly to gross domestic product calculations.

Key Concept

Public Expenditure Classification and Growth Theories
Question 4873Question

A consumer purchasing two goods, XX and YY, attains equilibrium when the marginal utility of Good XX (MUxMU_x) is 4040 utils and its price (PxP_x) is 10\text{₦}10. If the price of Good YY (PyP_y) is 5\text{₦}5, what is the marginal utility of Good YY (MUyMU_y) in utils at consumer equilibrium?

Show answer & explanation

Answer: 20 utils; 20; 20utils

Answer

The marginal utility of Good YY at consumer equilibrium is 20 utils.
Under cardinal utility analysis, consumer equilibrium for two commodities is achieved when the ratio of marginal utility to price is equal for both commodities (MUxPx=MUyPy\frac{MU_x}{P_x} = \frac{MU_y}{P_y}). Substituting MUx=40MU_x = 40, Px=10P_x = 10, and Py=5P_y = 5 gives 4010=MUy5\frac{40}{10} = \frac{MU_y}{5}, which simplifies to 4=MUy54 = \frac{MU_y}{5}. Solving for MUyMU_y gives 2020 utils.

Step-by-Step Solution

1
State the equimarginal condition for consumer equilibrium when consuming two goods.
MUxPx=MUyPy\frac{MU_x}{P_x} = \frac{MU_y}{P_y}
According to cardinal utility analysis, a consumer maximizes utility when the marginal utility per monetary unit spent is equal across all commodities.
2
Substitute the given values (MUx=40MU_x = 40, Px=10P_x = 10, Py=5P_y = 5) into the formula.
4010=MUy5\frac{40}{10} = \frac{MU_y}{5}
Substituting the known parameters sets up an algebraic equation for the unknown marginal utility of Good YY.
3
Solve the equation for MUyMU_y.
4=MUy5    MUy=4×5=20 utils4 = \frac{MU_y}{5} \implies MU_y = 4 \times 5 = 20\text{ utils}
Multiplying the marginal utility per naira spent (4 utils/naira) by the price of Good YY (₦5) gives the marginal utility of Good YY.

Key Concept

Equimarginal Principle of Consumer Equilibrium
Estimated Time:1m 30s
Question 4874Question

Match each fiscal policy scenario or tool with its corresponding economic stabilization action.

Click a left item, then click its matching right item

Items

Expansionary fiscal policy during an economic recession
Contractionary fiscal policy during demand-pull inflation
Automatic fiscal stabilizer during an economic expansion
Discretionary deficit financing for public capital projects

Matches

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Answer

Expansionary fiscal policy during a recession pairs with reducing taxes and expanding spending; Contractionary fiscal policy during inflation pairs with increasing taxes and curtailing spending; Automatic fiscal stabilizers during expansions pair with automatic tax receipt growth under progressive taxation; Discretionary deficit financing pairs with intentional spending funded by borrowing.
Expansionary measures increase aggregate demand during downturns, contractionary measures suppress excess demand during inflationary periods, automatic stabilizers function continuously without legislative intervention, and discretionary deficit spending relies on intentional government borrowing for investment.

Step-by-Step Solution

1
Analyze economic recession requirements
Recessions require stimulating aggregate demand through fiscal stimulus, consisting of lower tax rates and boosted public expenditure.
Increasing disposable income and public outlay offsets output contraction.
2
Analyze demand-pull inflation requirements
Excess aggregate demand causing inflation must be dampened by withdrawing money from circulation via higher taxation and reduced spending.
Lower consumer disposable income and public spending bring price levels toward stability.
3
Distinguish built-in stabilizers from discretionary policy
Built-in stabilizers operate automatically through mechanisms such as progressive taxation without legislative delays, whereas discretionary deficit financing requires explicit policy decisions to borrow and spend.
Automatic stabilizers adjust continuously with economic cycles, while discretionary policy represents targeted intervention.

Key Concept

Fiscal Policy Tools and Economic Stabilization
Question 4875Question
For the Haber process reaction represented by the thermochemical equation: N2(g)+3H2(g)2NH3(g)ΔH=92 kJ mol1N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g) \quad \Delta H = -92\text{ kJ mol}^{-1} Match each applied stress condition on the left with its corresponding effect on the equilibrium system on the right.

Click a left item, then click its matching right item

Items

Increasing the temperature of the system
Increasing total pressure by decreasing container volume
Adding finely divided iron catalyst
Adding argon gas at constant volume

Matches

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Answer

Increasing temperature matches shifting equilibrium to the left (decreasing NH3NH_3 yield); Increasing total pressure matches shifting equilibrium to the right (increasing NH3NH_3 yield); Adding iron catalyst matches increasing rates equally without shifting position; Adding argon gas at constant volume matches having no effect on partial pressures or equilibrium position.
Each stress condition matches its specific thermodynamic or kinetic outcome according to Le Chatelier's principle: heating an exothermic reaction favors the reverse endothermic direction; increasing pressure favors the side with fewer gas moles (products); adding a catalyst accelerates both reaction directions equally; and adding inert gas at constant volume leaves partial pressures unchanged.

Step-by-Step Solution

1
Analyze temperature perturbation using exothermic enthalpy data
The forward reaction releases heat (\Delta H = -92\text{ kJ mol}^{-1}). Heating shifts equilibrium in the heat-absorbing (endothermic/reverse) direction.
Le Chatelier's principle predicts the system counteracts temperature elevation by favoring the endothermic reaction.
2
Analyze pressure perturbation using stoichiometric gas coefficients
Reactants contain 4 moles of gas (1N2+3H21N_2 + 3H_2) while products contain 2 moles (2NH32NH_3). Increased pressure shifts equilibrium toward fewer gas moles.
Decreasing volume increases gas pressure, so the system relieves pressure by forming fewer gaseous molecules.
3
Determine catalyst effect on dynamic equilibrium
The iron catalyst accelerates both forward and reverse rates equally.
Catalysts alter the reaction mechanism to lower activation energy equally in both directions, leaving equilibrium composition unchanged.
4
Determine inert gas effect at constant volume
Adding argon at constant volume does not change concentrations or partial pressures of N2N_2, H2H_2, or NH3NH_3.
Equilibrium position depends strictly on partial pressures of reacting species, which remain constant.

Key Concept

Le Chatelier's Principle (effects of temperature, pressure, catalysts, and inert gas additions)
Estimated Time:1m 30s
Question 4876Question

Freshwater teleost fishes live in an environment that is hypoosmotic relative to their internal body fluids, leading to continuous passive influx of water and loss of essential salts. Which of the following physiological adaptations enables these fishes to maintain osmotic homeostasis?

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Answer: Excreting large volumes of dilute urine while actively absorbing salts through gill chloride cells

Answer

Excreting large volumes of dilute urine while actively absorbing salts through gill chloride cells
Freshwater teleost fishes are hypertonic to their surrounding habitat. Water constantly enters their tissues by osmosis, while electrolytes are lost by diffusion. To maintain osmoregulatory balance, their kidneys produce a large volume of dilute urine to void excess water, and specialized epithelial cells (chloride cells) in their gills actively absorb sodium and chloride ions from the dilute water into the bloodstream.

Step-by-Step Solution

1
Analyze the environmental osmotic pressure acting on freshwater teleost fishes.
The surrounding freshwater is hypoosmotic (lower solute concentration) than the fish's body fluids, causing water to continuously enter passively across the gills and skin while body salts diffuse outward.
Determining the osmotic gradient is necessary to identify the corrective physiological mechanism.
2
Identify the required physiological adjustments to handle water influx and salt loss.
The fish must continuously expel excess water without losing too many salts, while actively acquiring replacement ions from dilute surroundings.
Maintaining internal hydromineral balance requires coordinated kidney and gill function.
3
Match the required adjustments to specific vertebrate organs and cellular adaptations.
Large renal glomeruli produce large volumes of dilute urine to void water, and specialized chloride cells in the gill epithelium actively transport sodium and chloride ions into the blood against a concentration gradient.
This dual mechanism resolves both osmotic water loading and ionic dilution.

Key Concept

Physiological Osmoregulation in Freshwater Teleost Fishes
Question 4877Question

Arrange the following sequential steps involved in the laboratory preparation and isolation of soap (saponification) from vegetable oil in the correct chronological order from first to last:

Drag items to arrange them in the correct order

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Answer

The correct order of steps for the preparation and isolation of soap is: first, refluxing the vegetable oil with concentrated sodium hydroxide (saponification); second, adding concentrated sodium chloride solution (salting out); third, filtering the mixture to separate the solid soap curd; and fourth, washing the solid soap with cold distilled water to remove impurities.
Saponification begins by refluxing vegetable oil (a triglyceride ester) with concentrated sodium hydroxide, hydrolyzing the ester links to yield sodium alkanoates (soap) and glycerol. Next, concentrated sodium chloride solution is added (salting out) to precipitate the soap by decreasing its solubility. The mixture is then filtered to isolate the solid soap curd from the liquid filtrate, and finally, the solid residue is washed with cold distilled water to remove excess sodium hydroxide.

Step-by-Step Solution

1
Reflux vegetable oil with aqueous sodium hydroxide solution.
Complete alkaline hydrolysis of the triester (triglyceride) into glycerol and sodium alkanoates (soap).
Base-catalyzed ester hydrolysis is required to break down the vegetable oil into fatty acid sodium salts.
2
Add concentrated sodium chloride solution (brine) to the reaction mixture.
Precipitation of sodium alkanoate (soap) as a floating curd.
Increasing the concentration of sodium ions forces the soap salt out of solution due to the common-ion effect and reduced solubility.
3
Filter the mixture using a funnel and filter paper.
Crude solid soap is retained on the filter paper while glycerol and brine pass through as filtrate.
Filtration separates the insoluble soap precipitate from the soluble glycerol byproduct.
4
Rinse the collected soap residue with cold water.
Purified soap free from unreacted sodium hydroxide and salt.
Cold water dissolves remaining surface impurities without dissolving significant amounts of the solid soap.

Key Concept

Saponification process and salting out of soap
Estimated Time:1m 30s
Question 4878Question

Arrange the following physiological and mechanical events in the correct sequential order during the peristaltic movement of an earthworm, starting from the initial elongation of anterior segments.

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Answer

The correct sequence of peristaltic locomotion in an earthworm is: contraction of circular muscles causing anterior elongation, protrusion and anchoring of anterior chaetae into the substrate, contraction of longitudinal muscles causing body shortening, and retraction of posterior chaetae allowing rear displacement.
In earthworm hydrostatic locomotion, movement relies on alternating waves of antagonistic muscle contraction acting against fluid-filled coelomic compartments. Elongation is initiated by circular muscle contraction. Next, anterior chaetae anchor the extended front to the ground. Then, longitudinal muscles contract to shorten the segments and pull the posterior body forward while posterior chaetae retract to reduce drag.

Step-by-Step Solution

1
Identify the initial muscular contraction responsible for body elongation.
Circular muscles contract while longitudinal muscles relax, extending the anterior body forward.
Hydrostatic pressure pushes coelomic fluid forward when circular muscles exert compressive force on the segment walls.
2
Determine the anchoring step following elongation.
Anterior chaetae protrude and anchor into the substrate.
Anchoring prevents backward slippage when the pulling force is subsequently generated.
3
Identify the muscular contraction responsible for pulling the rear body forward.
Longitudinal muscles contract while circular muscles relax in the anterior region.
Longitudinal muscle contraction shortens and swells the segments, drawing the unanchored rear segments forward.
4
Identify the release step at the posterior end.
Posterior chaetae retract from the soil.
Releasing posterior friction enables the hind portion of the organism to slide forward freely toward the anchored front.

Key Concept

Hydrostatic skeleton and antagonistic muscle action in annelid peristaltic locomotion
Estimated Time:1m 0s
Question 4879Question

A commercial bank receives an initial cash deposit of ₦50,000. If the central bank specifies a cash reserve ratio of 20%, what is the total amount of deposits created in the banking system?

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Answer: 250000

Answer

The total amount of deposits created in the banking system is ₦250,000.
The total amount of deposits created across the commercial banking system is calculated using the formula Total Deposit=Initial DepositCash Reserve Ratio\text{Total Deposit} = \frac{\text{Initial Deposit}}{\text{Cash Reserve Ratio}}. Substituting the given values gives 50,0000.20=250,000\frac{₦50,000}{0.20} = ₦250,000.

Step-by-Step Solution

1
Identify the given initial deposit and cash reserve ratio.
Initial Deposit = ₦50,000; Cash Reserve Ratio (CRR) = 20%=0.2020\% = 0.20.
These parameters are required to compute credit expansion.
2
Apply the total credit creation formula.
\text{Total Deposit Expansion} = \frac{\text{Initial Deposit}}{\text{Cash Reserve Ratio}}
The commercial banking system creates secondary deposits equal to the initial primary deposit divided by the cash reserve ratio.
3
Perform the numerical calculation.
\text{Total Deposit Expansion} = \frac{50,000}{0.20} = 250,000
Dividing ₦50,000 by 0.20 yields ₦250,000.

Key Concept

Credit Creation and Total Deposit Expansion
Question 4880Question

An agro-industrial processing firm in West Africa assigns workers exclusively to narrow, repetitive tasks: one crew sorts raw cocoa beans, another manages roasting, and a third operates the extraction press. Following an upgrade to fully automated bean-sorting technology, the manual sorting staff face severe unemployment because their highly specialized skills cannot easily be transferred to other technical roles within the enterprise. Which major drawback of division of labor is directly demonstrated by this situation?

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Answer: Occupational immobility of labor due to extreme skill narrowness

Answer

Occupational immobility of labor due to extreme skill narrowness
Extreme division of labor forces workers to perform single repetitive tasks, leading to loss of overall craftsmanship and versatility. When technology renders a specific task redundant, these workers suffer from occupational immobility because their skills are too specialized to be easily repurposed elsewhere in the economy or firm.

Step-by-Step Solution

1
Analyze the production process scenario
Workers perform single, narrow sub-tasks (manual sorting) repeatedly in an assembly process.
This establishes extreme division of labor.
2
Evaluate the impact of automation on the specialized workforce
The manual sorters are displaced and cannot adapt to other roles because they lack broader technical training.
Specialization reduces versatility across different occupations or job functions.
3
Identify the corresponding economic concept
The inability of workers to switch jobs easily represents occupational immobility of labor.
Occupational immobility is a primary structural disadvantage of specialization.

Key Concept

Disadvantages of Division of Labor: Occupational Immobility of Labor
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