Demand, Supply and Price Determination

112 questions

Question 21Question

In a local agricultural market, there are 2525 identical cassava producers operating under competitive conditions. The individual supply function for each producer is expressed as Qi=15+4PQ_i = -15 + 4P, where QiQ_i represents the quantity supplied by a single producer in bags and PP is the market price per bag in Naira (\text{₦}). If the total aggregate market quantity supplied is 1,3251,325 bags, what is the prevailing market price per bag in Naira?

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Answer: 17

Answer

The prevailing market price per bag is ₦17.
To calculate the prevailing market price, aggregate individual producer supply into the market supply equation by multiplying by the total number of producers: QM=25×(15+4P)=375+100PQ_M = 25 \times (-15 + 4P) = -375 + 100P. Substituting the market output of 1,3251,325 bags gives 1325=375+100P1325 = -375 + 100P. Rearranging terms results in 100P=1700100P = 1700, which gives P=17P = 17 Naira.

Step-by-Step Solution

1
Aggregate individual producer supply functions to find the total market supply equation.
QM=25×(15+4P)=375+100PQ_M = 25 \times (-15 + 4P) = -375 + 100P
Market supply is the horizontal summation of all individual producers' supply functions in a competitive market.
2
Substitute the total market quantity supplied into the market supply equation.
1325=375+100P1325 = -375 + 100P
The aggregate market quantity supplied is given as 1,325 bags.
3
Isolate the price variable P to compute the market price.
P=17P = 17
Adding 375 to both sides yields 100P=1700100P = 1700, and dividing by 100 gives P=17P = 17 Naira.

Key Concept

Aggregation of Individual Supply Functions to Derive Market Supply
Estimated Time:2m 0s
Question 22Question

The demand and supply functions for a commodity in a competitive market are given as Qd=1808PQ_d = 180 - 8P and Qs=20+12PQ_s = -20 + 12P, where PP is the price in Naira (₦), QdQ_d is the quantity demanded, and QsQ_s is the quantity supplied. If the government imposes a maximum price ceiling of ₦8, what is the resulting market condition?

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Answer: A shortage of 40 units

Answer

A shortage of 40 units
Evaluating the demand function at P=8P = 8 yields Qd=1808(8)=116Q_d = 180 - 8(8) = 116 units. Evaluating the supply function at P=8P = 8 yields Qs=20+12(8)=76Q_s = -20 + 12(8) = 76 units. Subtracting quantity supplied from quantity demanded (11676116 - 76) reveals an excess demand (shortage) of 40 units.

Step-by-Step Solution

1
Calculate quantity demanded (QdQ_d) at the price ceiling of ₦8
Qd=1808(8)=18064=116Q_d = 180 - 8(8) = 180 - 64 = 116 units
Substitute P=8P = 8 into the demand function.
2
Calculate quantity supplied (QsQ_s) at the price ceiling of ₦8
Qs=20+12(8)=20+96=76Q_s = -20 + 12(8) = -20 + 96 = 76 units
Substitute P=8P = 8 into the supply function.
3
Calculate market shortage or surplus (QdQsQ_d - Q_s)
11676=40116 - 76 = 40 units
Since quantity demanded exceeds quantity supplied (Qd>QsQ_d > Q_s), there is a market shortage of 40 units.

Key Concept

Market Disequilibrium and Shortage Calculation
Estimated Time:2m 0s
Question 23Question

In a competitive market for cassava flour, the weekly demand function is given by Qd=32015PQ_d = 320 - 15P and the supply function is Qs=40+10PQ_s = -40 + 10P, where PP is the price in Naira per kilogram, QdQ_d is the quantity demanded in kilograms, and QsQ_s is the quantity supplied in kilograms. What is the magnitude of the excess demand (shortage) in kilograms when the market price is fixed at 12₦12 per kilogram?

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Answer: 60

Answer

The magnitude of excess demand (shortage) at 12₦12 per kilogram is 6060 kg.
At a disequilibrium price of 12₦12, quantity demanded (Qd=140Q_d = 140 kg) is greater than quantity supplied (Qs=80Q_s = 80 kg). Subtracting quantity supplied from quantity demanded yields an excess demand (shortage) of 6060 kg.

Step-by-Step Solution

1
Substitute P=12P = 12 into the demand function Qd=32015PQ_d = 320 - 15P
Qd=32015(12)=320180=140Q_d = 320 - 15(12) = 320 - 180 = 140 kg
To find the total quantity consumers are willing to purchase at the specified price level.
2
Substitute P=12P = 12 into the supply function Qs=40+10PQ_s = -40 + 10P
Qs=40+10(12)=40+120=80Q_s = -40 + 10(12) = -40 + 120 = 80 kg
To find the total quantity producers are willing to bring to the market at the specified price level.
3
Calculate the difference between quantity demanded and quantity supplied (QdQsQ_d - Q_s)
Excess Demand = 14080=60140 - 80 = 60 kg
Because the market price (12₦12) is below the equilibrium price (14.40₦14.40), quantity demanded exceeds quantity supplied, creating a shortage.

Key Concept

Market Equilibrium and Disequilibrium Shortage
Question 24Question

An individual consumer's weekly demand function for sugar is expressed as Qd=1204PQ_d = 120 - 4P, where QdQ_d represents the quantity demanded in bags and PP represents the price per bag in Naira (\text{₦}). According to the law of demand, by how many bags does the quantity demanded decrease when the price per bag increases from 10\text{₦}10 to 15\text{₦}15?

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Answer: 20

Answer

The quantity demanded decreases by 20 bags.
According to the law of demand, an increase in price leads to a decrease in quantity demanded, ceteris paribus. Substituting P=10P = 10 into the demand equation yields Qd=1204(10)=80Q_d = 120 - 4(10) = 80 bags. Substituting P=15P = 15 yields Qd=1204(15)=60Q_d = 120 - 4(15) = 60 bags. The difference between the initial and new quantity demanded is 8060=2080 - 60 = 20 bags.

Step-by-Step Solution

1
Calculate initial quantity demanded (Q1Q_1) at price P=10P = 10
Q1=1204(10)=80Q_1 = 120 - 4(10) = 80 bags
Substitute the initial price of 10\text{₦}10 into the given demand function Qd=1204PQ_d = 120 - 4P.
2
Calculate new quantity demanded (Q2Q_2) at price P=15P = 15
Q2=1204(15)=60Q_2 = 120 - 4(15) = 60 bags
Substitute the higher price of 15\text{₦}15 into the demand function to reflect movement along the demand curve as price increases.
3
Determine the magnitude of the decrease in quantity demanded
Decrease = 8060=2080 - 60 = 20 bags
Subtract the new quantity demanded from the initial quantity demanded to measure the change resulting from the price change.

Key Concept

Law of Demand and Demand Function Evaluation
Estimated Time:1m 30s
Question 25Question

During a period of severe economic downturn, a low-income household observes that when the price of cassava flour—their primary staple food—rises, their monthly consumption of cassava flour actually increases because they can no longer afford meat or rice. Which economic concept accounts for this exception to the standard law of demand?

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Answer: Giffen good behavior, where the negative income effect of a price rise in a staple good overrides the substitution effect

Answer

Giffen good behavior explains this phenomenon because the income effect of a price rise in an essential inferior staple outweighs the substitution effect, leading to an upward-sloping demand relationship.
The scenario describes a classic Giffen good situation. For a low-income consumer, cassava flour is a staple inferior good. When its price increases, the consumer's real income declines sharply. Because they can no longer afford premium foods like meat or rice, they substitute away from those expensive items toward buying more cassava flour to survive, making the income effect override the substitution effect.

Step-by-Step Solution

1
Identify the relationship between price and quantity demanded described in the scenario
As the price of cassava flour rises, the quantity demanded increases, demonstrating an upward-sloping demand curve.
This scenario presents an inverse of the normal law of demand, which states that price and quantity demanded are inversely related.
2
Analyze the economic nature of the product and consumer background
Cassava flour is a basic staple food consumed by low-income households who spend a large portion of their budget on it.
When the price of such a staple rises, the household's real purchasing power falls significantly (negative income effect), forcing them to cut back on expensive foods (like meat and rice) and buy more of the cheap staple.
3
Distinguish between types of demand exceptions
This phenomenon is classified as a Giffen good, whereas luxury/prestige goods fall under the Veblen effect.
Giffen goods apply to inferior staple foods for low-income consumers, satisfying the specific conditions described.

Key Concept

Exceptions to the Law of Demand (Giffen Goods)
Estimated Time:1m 15s
Question 26Question

Match each fundamental economic concept relating to the concept and law of demand on the left with its corresponding definition on the right. Which of the following pairs correctly connects each concept with its appropriate economic definition?

Click a left item, then click its matching right item

Items

Law of Demand
Effective Demand
Demand Curve
Ceteris Paribus

Matches

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Answer

Law of Demand matches with the principle stating that quantity demanded decreases as price increases; Effective Demand matches with a consumer's desire backed by willingness and ability to pay; Demand Curve matches with a graphical representation showing the negative relationship between price and quantity demanded; Ceteris Paribus matches with the operational assumption that all external non-price determinants remain constant.
Each concept correctly links to its underlying economic principle: Law of Demand reflects the price-quantity inverse relationship; Effective Demand requires purchasing power; the Demand Curve is the visual graph of demand; and Ceteris Paribus holds other determinants constant.

Step-by-Step Solution

1
Define the Law of Demand
Identified that Law of Demand posits an inverse relationship between price and quantity demanded.
This corresponds to the principle stating that quantity demanded decreases as price increases.
2
Distinguish Effective Demand from mere desire
Recognized that economic demand requires ability to pay alongside willingness.
This matches the definition of desire backed by purchasing power.
3
Identify the Demand Curve
Understood the demand curve as the graphical expression of demand.
It visualizes price on the vertical axis and quantity demanded on the horizontal axis with a downward slope.
4
Define Ceteris Paribus
Recognized Ceteris Paribus as the isolating assumption in demand theory.
It holds income, taste, and prices of related goods constant to isolate the price effect.

Key Concept

Core Concepts and Law of Demand
Question 27Question

An increase in the global market demand for chocolate leads to higher production targets for processing firms, which subsequently prompts cocoa farmers to hire additional farm workers. What type of demand is exhibited by farm labour in this economic scenario?

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Answer: Derived demand

Answer

Derived demand
Derived demand occurs when the demand for a factor of production or intermediate commodity arises directly from the demand for another final good or service. In this scenario, farm labour is requested because consumers want chocolate.

Step-by-Step Solution

1
Identify the relationship between the primary product and the factor of production
Farm labour is a factor of production required to cultivate cocoa, which is processed into chocolate.
Understanding why the demand for labour arose requires tracing it back to consumer demand for the final output.
2
Classify the type of interrelated demand
The demand for labour increases direct result of the increased demand for chocolate.
When the demand for a factor of production depends directly on the demand for the good or service it produces, it is defined as derived demand.

Key Concept

Derived Demand
Question 28Question

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

Click a left item, then click its matching right item

Items

Timber required by carpentry workshops to produce executive office desks
Crude oil demanded to refine petrol, diesel, kerosene, and aviation fuel
Butter and margarine serving as alternative choices to satisfy consumer needs
Printing ink and printing paper purchased together to publish physical newspapers

Matches

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Answer

Timber -> Derived Demand; Crude oil -> Composite Demand; Butter and margarine -> Competitive Demand; Printing ink and paper -> Joint Demand.
Each commodity scenario correctly corresponds to its specific demand classification: derived demand applies to raw materials whose demand depends on final products; composite demand applies to single resources serving multiple uses; competitive demand applies to substitute goods; and joint demand applies to complementary goods consumed together.

Step-by-Step Solution

1
Classify the demand for timber used in making furniture
Timber demand is derived from the demand for the final output (furniture).
Derived demand occurs when an input or factor of production is demanded because of the demand for the final product it creates.
2
Classify the demand for crude oil used across multiple products
Crude oil has multiple alternative uses (petrol, diesel, aviation fuel), making its demand composite.
Composite demand refers to the total demand for a single commodity that serves several different uses.
3
Classify the demand relationship between butter and margarine
Butter and margarine are alternative substitutes, representing competitive demand.
Competitive demand exists between goods that can be substituted for one another to satisfy the same desire.
4
Classify the demand for printing ink and paper used together
Printing ink and paper are used jointly to print newspapers, representing joint (complementary) demand.
Joint demand occurs when two or more goods must be consumed or used together to satisfy a single want.

Key Concept

Classifications and economic definitions of interrelated types of demand (derived, composite, competitive, and joint demand).
Estimated Time:1m 0s
Question 29Question

Match each market scenario affecting a commodity with its corresponding impact on the demand curve.

Click a left item, then click its matching right item

Items

An increase in consumer disposable income for a normal good
A price decrease for a complementary commodity
An increase in the commodity's own market price
An expectation by consumers of a future fall in price

Matches

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Answer

An increase in disposable income for a normal good causes a rightward shift due to higher purchasing power; a decrease in the price of a complement shifts demand rightward due to joint demand; an increase in the commodity's own price results in an upward movement along the curve; and expectations of lower future prices lead to a leftward shift due to deferred consumption.
Each non-price factor alters the overall consumer demand at every given price level, leading to shifts in the demand curve, whereas a change in the commodity's own price alters the quantity demanded along the existing demand curve.

Step-by-Step Solution

1
Distinguish between non-price determinants (shifts) and own-price changes (movements along the curve).
Identified that own-price increase causes a movement along the curve, while income, complement prices, and expectations cause demand curve shifts.
Only changes in price of the good itself lead to changes in quantity demanded along an existing curve.
2
Determine the directional impact of non-price factors on total demand.
Higher income and cheaper complement goods increase demand (shift right); expected lower future prices decrease current demand (shift left).
Factors that make a commodity more desirable or affordable at all prices shift demand outward, while factors reducing current desirability shift demand inward.

Key Concept

Determinants of Demand vs. Changes in Quantity Demanded
Estimated Time:1m 30s
Question 30Question

Tea and coffee are substitute goods in competitive demand. If the price of coffee rises significantly while the price of tea remains unchanged, which of the following market changes will occur for tea?

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Answer: A rightward shift in the demand curve for tea

Answer

A rightward shift in the demand curve for tea
Tea and coffee are substitutes in competitive demand. When the price of coffee increases while the price of tea remains constant, tea becomes relatively less expensive. Consumers reallocate their purchases from coffee to tea, increasing total market demand for tea at every price level. This non-price factor causes an outward (rightward) shift of the demand curve for tea.

Step-by-Step Solution

1
Identify the economic relationship between the two goods
Tea and coffee are substitute goods in competitive demand.
They satisfy similar consumer needs and serve as alternative choices.
2
Analyze consumer behavior following the price change of coffee
The increase in coffee price causes consumers to demand more tea at existing prices.
Consumers substitute away from the relatively more expensive good (coffee) toward the relatively cheaper alternative (tea).
3
Determine the graphical impact on the demand curve for tea
The entire demand curve for tea shifts outward to the right.
A change in the price of a substitute good is a non-price determinant of demand for tea, causing a shift in the entire demand curve rather than a movement along the curve.

Key Concept

Determinants of Demand: Prices of Substitute Goods
Estimated Time:1m 0s
Question 31Question

Match each economic factor or market event on the left with its corresponding impact on the demand curve for the target commodity on the right.

Click a left item, then click its matching right item

Items

A sharp rise in the retail price of motor vehicles on the demand for motor vehicle insurance.
A decline in the market price of fresh fish on the demand for beef.
An increase in household disposable income on the demand for a low-grade food staple (an inferior good).
Widespread consumer expectations of an impending price surge in cooking gas.

Matches

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Answer

1. Price rise of motor vehicles → Inward shift of insurance demand due to joint/complementary demand.
2. Price drop of fresh fish → Inward shift of beef demand due to competitive/substitute demand.
3. Increase in disposable income → Inward shift of inferior good demand due to inverse income relationship.
4. Expectation of price surge in cooking gas → Outward shift of current cooking gas demand due to speculative buying.
Each factor represents a specific non-price determinant of demand. Price changes of complementary goods inversely affect demand for the primary good. Price changes of substitute goods directly affect demand for the related good. Income changes reduce demand for inferior goods, and expectations of future price increases raise current demand.

Step-by-Step Solution

1
Analyze the relationship between motor vehicles and motor insurance.
They are complementary goods; higher vehicle prices reduce vehicle purchases and consequently lower the demand for motor insurance, shifting the curve leftward.
Complementary goods exhibit joint demand.
2
Analyze the relationship between fresh fish and beef.
They are substitute goods in competitive demand; a price drop in fish makes fish relatively cheaper, reducing beef demand and shifting its curve leftward.
Substitutes satisfy the same consumer need.
3
Evaluate the impact of higher consumer income on inferior goods.
For inferior goods, an increase in income leads to a decrease in demand, shifting the demand curve to the left.
Inferior goods have negative income elasticity of demand.
4
Examine the effect of expected future price changes on current demand.
Expectations of a future price increase spur panic buying now, increasing current demand and shifting the demand curve to the right.
Consumer expectations alter current purchasing timing.

Key Concept

Determinants and Changes in Demand
Estimated Time:1m 30s
Question 32Question

A commercial rice miller in Kano increased monthly production from 500500 bags to 750750 bags after the market price of rice rose from N35,000\text{N}35,000 to N48,000\text{N}48,000 per bag, while technology and input prices remained unchanged. Which of the following best describes this scenario?

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Answer: An increase in quantity supplied represented by a movement along the existing supply curve.

Answer

An increase in quantity supplied represented by a movement along the existing supply curve.
The scenario describes a producer increasing output in response solely to a higher market price for the product while all non-price factors remain constant. According to the law of supply, this price-driven adjustment is an increase in quantity supplied, represented graphically as a upward movement along the existing supply curve.

Step-by-Step Solution

1
Identify the cause of the change in production volume.
Production increased from 500500 to 750750 bags in direct response to a rise in the market price of rice from N35,000\text{N}35,000 to N48,000\text{N}48,000.
Price change of the commodity itself is the independent variable.
2
Check for non-price conditions.
Technology and input prices remained unchanged (ceteris paribus condition holds).
This isolates the price effect from non-price supply shifts.
3
Apply economic concepts to determine the graphical representation.
A change in the price of the good itself causes a movement along the supply curve (change in quantity supplied), rather than a shift of the curve.
The law of supply states that price and quantity supplied are directly related, ceteris paribus.

Key Concept

Difference between a change in quantity supplied (movement along the curve due to price changes) and a change in supply (shift of the curve due to non-price factors).
Question 33Question

A poultry farmer in Ogun State increases weekly egg production from 150150 crates to 220220 crates following an increase in market price from N2,000\text{N}2,000 to N2,800\text{N}2,800 per crate, while input costs remain constant. Which of the following economic principles is directly illustrated by the farmer's behavior?

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Answer: The law of supply, which establishes a direct relationship between price and quantity supplied

Answer

The farmer's behavior illustrates the law of supply, which states that, ceteris paribus, higher prices lead to an increase in quantity supplied.
The correct answer states the law of supply. When price increases while other conditions remain unchanged (ceteris paribus), profit-maximizing producers are willing to supply a greater quantity, demonstrating a direct (positive) relationship between price and quantity supplied.

Step-by-Step Solution

1
Analyze the change described in the scenario
Market price rose from N2,000\text{N}2,000 to N2,800\text{N}2,800, and the farmer's quantity offered increased from 150150 to 220220 crates.
Identifying the variable causing the reaction (price) and the response variable (quantity supplied).
2
Apply economic concepts of supply
Because price and quantity supplied move in the same direction while other factors remain constant (ceteris paribus), this represents a movement along the supply curve.
The law of supply states that price and quantity supplied are directly related.

Key Concept

Law of Supply
Estimated Time:1m 0s
Question 34Question

Under standard competitive economic conditions, an increase in the market price of a commodity causes an outward shift of its supply curve to the right, ceteris paribus.

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Answer: False

Answer

The statement is False. A change in price causes a movement along the supply curve (change in quantity supplied), not a shift of the supply curve.
The correct answer is False because, according to the law of supply, a change in price leads strictly to an extension or contraction along the existing supply curve (change in quantity supplied). Non-price factors, such as weather, cost of production, or technological advancements, are required to shift the supply curve itself.

Step-by-Step Solution

1
Identify the cause stated in the proposition.
The specified factor is an increase in the price of the commodity itself.
Understanding the primary variable is necessary to categorize the resulting economic movement.
2
Distinguish between a change in quantity supplied and a change in supply.
Price changes result in movements along an established supply curve (expansion/contraction of quantity supplied). Shifts of the curve (change in supply) are caused by non-price determinants.
The law of supply establishes a direct relationship between price and quantity supplied along a given curve under ceteris paribus.
3
Evaluate the statement's claim.
The statement claims a price change causes a shift of the curve, which contradicts economic theory.
Since price changes cause movement along the curve rather than shifting it, the statement is false.

Key Concept

Distinction between a change in quantity supplied (movement along the curve) and a change in supply (shift of the curve)
Question 35Question

Match each type of supply in Column A with its corresponding economic description in Column B.

Click a left item, then click its matching right item

Items

Joint (Complementary) Supply
Competitive Supply
Composite Supply
Derived Supply

Matches

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Answer

Joint (Complementary) Supply pairs with the simultaneous production of goods from the same source; Competitive Supply pairs with the scenario where resource allocation to one good reduces the output of an alternative good; Composite Supply pairs with total market supply gathered from multiple independent sources; and Derived Supply pairs with the supply of an input driven by demand for a finished commodity.
Joint supply involves simultaneous creation of main products and byproducts from one source. Competitive supply arises when goods compete for identical limited production resources. Composite supply represents total market supply coming from various distinct sources. Derived supply is determined by demand for the end product requiring that input.

Step-by-Step Solution

1
Analyze Joint (Complementary) Supply
Identify that producing one good automatically yields a byproduct or secondary good from the same process.
By definition, joint supply items share a common origin of production.
2
Analyze Competitive Supply
Identify that producing more of one good requires diverting resources away from producing another good.
Scarce inputs create an inverse supply relationship between substitute outputs.
3
Analyze Composite Supply
Identify that total supply is the aggregate of multiple distinct production sources.
When a single consumer need can be satisfied by different sources, their combined output constitutes composite supply.
4
Analyze Derived Supply
Identify that supply of an intermediate input depends directly on final consumer demand.
Factors of production are supplied because final products are demanded.

Key Concept

Classification and distinguishing features of types of supply
Question 36Question

The total supply of sugar required by industrial beverage manufacturers in Nigeria is obtained simultaneously from domestic sugarcane estates, local processing plants, and international importers. What type of supply is exemplified by these distinct sources combining to satisfy a single market demand?

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Answer: Composite supply

Answer

Composite supply, because the total market supply of the commodity is aggregated from several independent supply sources to meet one specific market requirement.
Composite supply occurs when a single market demand is satisfied by combining outputs from diverse suppliers or production avenues. In this scenario, domestic farming, local processing, and foreign imports together constitute the composite supply of sugar.

Step-by-Step Solution

1
Analyze the market scenario described in the question stem.
Multiple independent production and supply sources (domestic estates, local processors, and foreign importers) are contributing to meet a single market demand (sugar for industrial beverage manufacturing).
Identifying the relationship between the sources of supply and the target demand determines the category of supply.
2
Evaluate the economic definitions of the supply classifications.
Composite supply is defined as the total supply of a good composed of multiple distinct suppliers or production channels meeting one overall demand.
This directly matches the scenario presented.

Key Concept

Composite Supply
Question 37Question

In a competitive wholesale market for cement, the daily quantity demanded is given by the linear demand function Qd=45012PQ_d = 450 - 12P and the daily quantity supplied is given by Qs=50+13PQ_s = -50 + 13P, where PP is the price per bag in hundreds of Naira and QQ is measured in metric tons. What is the equilibrium quantity of cement traded in metric tons?

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Answer: 210

Answer

The equilibrium quantity of cement traded daily is 210 metric tons.
Market equilibrium occurs at the point where quantity demanded equals quantity supplied (Qd=QsQ_d = Q_s). Equating 45012P=50+13P450 - 12P = -50 + 13P yields 500=25P500 = 25P, which solves to an equilibrium price of P=20P = 20. Substituting P=20P = 20 into the demand function gives Q=45012(20)=210Q^* = 450 - 12(20) = 210 metric tons.

Step-by-Step Solution

1
Set quantity demanded equal to quantity supplied to establish market equilibrium.
45012P=50+13P450 - 12P = -50 + 13P
Market equilibrium occurs at the price level where Qd=QsQ_d = Q_s.
2
Group like terms to solve for the equilibrium price (PP).
450+50=13P+12P    500=25P    P=20450 + 50 = 13P + 12P \implies 500 = 25P \implies P = 20
Adding 5050 and 12P12P to both sides isolates the variable PP.
3
Substitute the equilibrium price (P=20P = 20) back into the demand function to find equilibrium quantity (QQ^*).
Q=45012(20)=450240=210Q^* = 450 - 12(20) = 450 - 240 = 210 metric tons
Evaluating either the demand or supply function at P=20P = 20 gives the market clearing quantity.

Key Concept

Market Equilibrium Quantity Determination
Question 38Question

A major technological improvement significantly reduces the cost of producing fertilizer for rice farmers in Nigeria. Assuming the market price of rice remains initially unchanged, how will this technological advancement affect the market supply curve for rice?

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Answer: The supply curve will shift outward to the right.

Answer

The supply curve will shift outward to the right.
A reduction in input costs due to technological advancements increases profitability for producers, encouraging them to supply more rice at all price levels. This non-price factor increases overall supply, causing the supply curve to shift outward to the right.

Step-by-Step Solution

1
Identify the economic factor described in the scenario.
Technological improvement in fertilizer production lowers the cost of agricultural inputs for rice farming.
Input costs and technology are non-price determinants of supply.
2
Analyze how reduced production costs affect producer incentives.
Lower input costs increase the profitability of producing rice at any given market price.
Producers are willing and able to supply a larger quantity of rice at every price level.
3
Distinguish between a shift of the supply curve and movement along the curve.
A change in a non-price determinant causes a shift of the supply curve (an increase in supply), represented by a rightward shift.
Movement along the curve only occurs when the price of the good itself changes.

Key Concept

Determinants and Changes in Supply vs. Quantity Supplied
Question 39Question

Match each economic event affecting cassava flour processing in Nigeria on the left with its corresponding effect on the supply curve of cassava flour on the right.

Click a left item, then click its matching right item

Items

A government waiver of import duties on commercial cassava processing machinery
A sharp rise in the market price of cassava starch, an alternative output requiring raw cassava tubers
An increase in the statutory minimum wage paid to processing factory workers
An increase in the current market price of cassava flour

Matches

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Answer

1. Import duty waiver on processing machinery matches Rightward shift of the supply curve (Increase in supply).
2. Rise in market price of competitive output (cassava starch) matches Leftward shift of the supply curve due to competitive supply.
3. Increase in worker minimum wage matches Leftward shift of the supply curve due to increased cost of production.
4. Increase in current market price of cassava flour matches Upward movement along the existing supply curve (Increase in quantity supplied).
Each economic scenario matches its standard economic effect on supply: government duty relief shifts supply rightward by lowering production cost; a higher price for a product in competitive supply diverts raw materials and shifts supply leftward; increased labor wages raise cost of production and shift supply leftward; and an own-price change results in a movement along the curve.

Step-by-Step Solution

1
Analyze non-price technological/policy factors.
Import duty waivers lower production equipment costs, causing a rightward shift of the supply curve (increase in supply).
Lower capital input costs enhance profitability across all output levels.
2
Evaluate competitive supply relationships.
When a substitute in production (cassava starch) becomes more lucrative, resources shift toward starch and away from cassava flour, causing a leftward shift in flour supply.
Producers reallocate limited raw materials to the higher-priced alternative output.
3
Assess labor cost impacts.
Higher wage rates increase marginal production costs, shifting the supply curve of cassava flour to the left.
Higher operational costs contract production output at existing market prices.
4
Distinguish between price changes and non-price determinants.
A change in the price of cassava flour itself leads to an upward movement along the existing supply curve, representing an increase in quantity supplied rather than a shift in supply.
According to the law of supply, price changes affect quantity supplied along a static curve.

Key Concept

Determinants of Supply vs. Changes in Quantity Supplied
Question 40Question

In a regional market for palm oil, the weekly quantity demanded is expressed as Qd=4008PQ_d = 400 - 8P and the quantity supplied is expressed as Qs=80+12PQ_s = -80 + 12P, where PP represents the price per liter in Naira (). If the government fixes a price ceiling of 15₦15 per liter, what is the resulting market condition?

Show answer & explanation

Answer: A shortage of 180 liters

Answer

A shortage of 180 liters
Evaluating both market equations at the controlled price ceiling of P=15P = ₦15 yields a quantity demanded of Qd=4008(15)=280Q_d = 400 - 8(15) = 280 liters and a quantity supplied of Qs=80+12(15)=100Q_s = -80 + 12(15) = 100 liters. Subtracting quantity supplied from quantity demanded (280100280 - 100) leaves an excess demand of 180180 liters, which constitutes a market shortage.

Step-by-Step Solution

1
Calculate the market equilibrium price to determine if the price ceiling is binding.
4008P=80+12P480=20PP=24400 - 8P = -80 + 12P \Rightarrow 480 = 20P \Rightarrow P^* = ₦24. Since 15<24₦15 < ₦24, the price ceiling is binding.
A price ceiling set below the equilibrium price restricts the market price legally.
2
Calculate the quantity demanded (QdQ_d) at the price ceiling of P=15P = ₦15.
Qd=4008(15)=400120=280Q_d = 400 - 8(15) = 400 - 120 = 280 liters.
Determines how much consumers wish to buy at the controlled price.
3
Calculate the quantity supplied (QsQ_s) at the price ceiling of P=15P = ₦15.
Qs=80+12(15)=80+180=100Q_s = -80 + 12(15) = -80 + 180 = 100 liters.
Determines how much producers are willing to supply at the controlled price.
4
Compute the difference between quantity demanded and quantity supplied.
QdQs=280100=180Q_d - Q_s = 280 - 100 = 180 liters (Shortage).
When quantity demanded exceeds quantity supplied below equilibrium, the market experiences an excess demand or shortage.

Key Concept

Market Disequilibrium and Price Ceiling Impact
Estimated Time:1m 30s
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