All practice questions

1526 questions

Question 1061Question

An economy is currently operating at point AA on its Production Possibility Curve, producing 120120 units of consumer goods and 5050 units of capital goods. To meet a new production target, the economy shifts resources to point BB, increasing the production of capital goods to 8080 units, while consumer goods production drops to 9090 units. What is the opportunity cost of producing the additional capital goods, expressed in units of consumer goods?

Show answer & explanation

Answer: 30

Answer

The opportunity cost of producing the additional 3030 units of capital goods is 3030 units of consumer goods.
When shifting from point AA to point BB, the production of consumer goods decreases from 120120 units to 9090 units. The difference of 3030 units is the quantity of consumer goods foregone to produce 3030 additional units of capital goods.

Step-by-Step Solution

1
Determine the change in consumer goods production.
Initial output = 120120 units, New output = 9090 units.
Opportunity cost along a PPC measures the amount of one good sacrificed to gain more of another good.
2
Subtract the new output level of consumer goods from the initial level.
12090=30120 - 90 = 30 units.
The reduction in consumer goods represents the foregone benefit (opportunity cost).

Key Concept

Opportunity cost along the Production Possibility Curve is quantified by the amount of one commodity that must be given up to obtain an additional amount of another commodity.
Question 1062Question

An economy recorded the following national income components for a given fiscal year:

ComponentAmount (₦ million)
Wages and salaries450450
Rent on property120120
Net interest8080
Corporate profits200200
Transfer payments (Social pensions)5050

Using the income method of measuring national income, what is the Gross Domestic Product at factor cost (in ₦ million)?

Show answer & explanation

Answer: 850

Answer

The Gross Domestic Product at factor cost using the income method is 850 million Naira.
Under the income method of national income accounting, GDP at factor cost is calculated by summing all rewards accruing to the factors of production: Wages and salaries (labour) + Rent (land) + Interest (capital) + Profits (entrepreneurship). Transfer payments such as social pensions are unearned receipts and must be omitted. Thus, National Income = ₦450m + ₦120m + ₦80m + ₦200m = ₦850m.

Step-by-Step Solution

1
Identify valid factor incomes under the income approach
Earned incomes are Wages (450450 million), Rent (120120 million), Interest (8080 million), and Profits (200200 million).
The income method aggregates rewards paid to factors of production (land, labour, capital, and enterprise) for producing current goods and services.
2
Exclude transfer payments from calculation
Transfer payments (5050 million) are excluded.
Transfer payments are receipts for which no corresponding productive service is rendered in the current period, so including them would cause double counting.
3
Calculate total GDP at factor cost
450+120+80+200=850450 + 120 + 80 + 200 = 850 million Naira.
Summing all constituent factor income components yields the total national income at factor cost.

Key Concept

Calculation of National Income using the Income Method
Estimated Time:1m 0s
Question 1063Question

The following financial data (in millions of dollars) was extracted from the national income accounting records of a nation for a given fiscal year:

Economic ComponentAmount ($ million)
Wages and salaries420
Employers' social security contributions40
Rental income of households75
Net business interest payments60
Interest on government public debt25
Dividends paid to shareholders90
Corporate profit taxes40
Undistributed corporate profits30
Mixed income of self-employed individuals115
Transfer payments (social welfare grants)55
Capital gains from asset sales35
Depreciation of capital assets50
Factor income earned by citizens abroad45
Factor income earned by foreigners domestically65
Indirect business taxes40
Government subsidies15

Based on the information provided above, calculate the Net National Product at factor cost (NNPFCNNP_{FC}) in millions of dollars.

Show answer & explanation

Answer: 850

Answer

The Net National Product at factor cost (NNPFCNNP_{FC}) is $850 million.
The Income Method sums all factor payments earned by owners of factors of production for providing current productive services. Combining compensation of employees (460M),rentalincome(460M), rental income ( 75M), net business interest (60M),totalcorporateprofits(60M), total corporate profits ( 160M), and mixed income of self-employed (115M)yieldsNetDomesticProductatfactorcost(115M) yields Net Domestic Product at factor cost ( NDP_{FC} = \870 million870\text{ million}). Adding Net Factor Income from Abroad (NFIA=$45M$65M=$20 millionNFIA = \$45\text{M} - \$65\text{M} = -\$20\text{ million}) yields Net National Product at factor cost (NNPFC=$850 millionNNP_{FC} = \$850\text{ million}). Non-factor receipts (transfer payments, public debt interest, capital gains) and depreciation are excluded.

Step-by-Step Solution

1
Calculate Compensation of Employees
$460 million
Compensation of employees includes both direct wages/salaries (420M)andnonwagebenefitssuchasemployerssocialsecuritycontributions(420M) and non-wage benefits such as employers' social security contributions ( 40M).
2
Calculate Total Corporate Profits
$160 million
Total corporate profits equal the sum of distributed profits (dividends of 90M),corporateprofittaxes(90M), corporate profit taxes ( 40M), and retained earnings (undistributed profits of $30M).
3
Calculate Net Domestic Product at factor cost (NDPFCNDP_{FC})
$870 million
NDPFCNDP_{FC} is the sum of factor earnings within the domestic economy: Compensation of Employees (460M)+Rent(460M) + Rent ( 75M) + Net business interest (60M)+Corporateprofits(60M) + Corporate profits ( 160M) + Mixed income of self-employed ($115M). Non-factor payments (transfer payments, public debt interest, capital gains) are strictly excluded.
4
Determine Net Factor Income from Abroad (NFIANFIA)
-$20 million
NFIANFIA is calculated as factor income received from abroad (45M)minusfactorincomepaidtoforeignersabroad(45M) minus factor income paid to foreigners abroad ( 65M).
5
Calculate Net National Product at factor cost (NNPFCNNP_{FC})
$850 million
NNPFC=NDPFC+NFIA=870+(20)=850NNP_{FC} = NDP_{FC} + NFIA = 870 + (-20) = 850. Depreciation is not added because the target aggregate is Net, and indirect taxes/subsidies are not added/subtracted because the evaluation is at factor cost.

Key Concept

Income Method of Measuring National Income
Question 1064Question

The national accounts of the Republic of Zaria for a given fiscal year present the following macroeconomic components (in billions of Naira):

- Personal Consumption Expenditure (CC): 850
- Gross Domestic Private Investment (II): 320
- Government Final Consumption Spending (GG): 280
- Exports (XX): 190
- Imports (MM): 230
- Net Factor Income from Abroad (NFIANFIA): -45
- Capital Consumption Allowance: 60
- Net Indirect Taxes (Indirect Taxes minus Subsidies): 35

Calculate the Net National Product at factor cost (NNPfcNNP_{fc}) in billions of Naira.

Show answer & explanation

Answer: 1270

Answer

The Net National Product at factor cost (NNPfcNNP_{fc}) is 1270 billion Naira.
The correct calculation follows the expenditure approach sequentially: GDPmp=C+I+G+(XM)=850+320+280+(190230)=1410GDP_{mp} = C + I + G + (X - M) = 850 + 320 + 280 + (190 - 230) = 1410 billion Naira. Adding Net Factor Income from Abroad yields GNPmp=1410+(45)=1365GNP_{mp} = 1410 + (-45) = 1365 billion Naira. Subtracting depreciation gives NNPmp=136560=1305NNP_{mp} = 1365 - 60 = 1305 billion Naira. Finally, subtracting net indirect taxes gives NNPfc=130535=1270NNP_{fc} = 1305 - 35 = 1270 billion Naira.

Step-by-Step Solution

1
Calculate Gross Domestic Product at market prices (GDPmpGDP_{mp})
GDPmp=1410GDP_{mp} = 1410 billion Naira
According to the expenditure method, GDPmp=C+I+G+(XM)=850+320+280+(190230)=1410GDP_{mp} = C + I + G + (X - M) = 850 + 320 + 280 + (190 - 230) = 1410.
2
Adjust GDPmpGDP_{mp} to obtain Gross National Product at market prices (GNPmpGNP_{mp})
GNPmp=1365GNP_{mp} = 1365 billion Naira
GNPmp=GDPmp+NFIA=1410+(45)=1365GNP_{mp} = GDP_{mp} + NFIA = 1410 + (-45) = 1365.
3
Deduct depreciation to obtain Net National Product at market prices (NNPmpNNP_{mp})
NNPmp=1305NNP_{mp} = 1305 billion Naira
NNPmp=GNPmpCapital Consumption Allowance=136560=1305NNP_{mp} = GNP_{mp} - \text{Capital Consumption Allowance} = 1365 - 60 = 1305.
4
Convert NNPmpNNP_{mp} to Net National Product at factor cost (NNPfcNNP_{fc})
NNPfc=1270NNP_{fc} = 1270 billion Naira
NNPfc=NNPmpNet Indirect Taxes=130535=1270NNP_{fc} = NNP_{mp} - \text{Net Indirect Taxes} = 1305 - 35 = 1270.

Key Concept

Expenditure Method of Measuring National Income and Aggregate Adjustments
Question 1065Question

In a local market economy, the total stock of money in circulation (MM) is N2,500,000\text{N}2,500,000, and the velocity of circulation (VV) is 66. If the total volume of physical transactions (TT) is 300,000300,000 units, what is the general price level (PP) per unit in Naira?

Show answer & explanation

Answer: 50

Answer

The general price level (PP) is N50\text{N}50 per unit.
According to Fisher's Equation of Exchange (MV=PTMV = PT), substituting M=N2,500,000M = \text{N}2,500,000, V=6V = 6, and T=300,000T = 300,000 gives 15,000,000=300,000P15,000,000 = 300,000P. Solving for the general price level (PP) yields P=15,000,000300,000=50P = \frac{15,000,000}{300,000} = 50 Naira per unit.

Step-by-Step Solution

1
Identify the given variables for Fisher's Equation of Exchange
M=N2,500,000M = \text{N}2,500,000, V=6V = 6, and T=300,000T = 300,000 units.
Establishing known variables is necessary to solve for the unknown parameter PP.
2
Calculate total monetary expenditure (MVMV)
MV=2,500,000×6=15,000,000MV = 2,500,000 \times 6 = 15,000,000.
According to the Quantity Theory of Money, total spending (MVMV) equals total value of goods traded (PTPT).
3
Divide total monetary expenditure by the transaction volume (TT) to isolate PP
P=15,000,000300,000=50P = \frac{15,000,000}{300,000} = 50.
Dividing total monetary outlay by total units traded yields the average price level per unit.

Key Concept

Fisher's Quantity Theory of Money (Equation of Exchange MV=PTMV = PT)
Estimated Time:1m 15s
Question 1066Question

A specific tax of 50\text{₦}50 per unit is imposed on a commodity whose initial equilibrium price is 200\text{₦}200. Following the introduction of the tax, the market price paid by consumers rises to 235\text{₦}235. What percentage of the total tax burden per unit is borne by the producer?

Show answer & explanation

Answer: 30

Answer

The producer bears 30%30\% of the total tax burden per unit.
The total per-unit specific tax is 50\text{₦}50. The price increase experienced by the consumer is 235200=35\text{₦}235 - \text{₦}200 = \text{₦}35, which represents the consumer's tax burden per unit. The remaining portion absorbed by the seller is 5035=15\text{₦}50 - \text{₦}35 = \text{₦}15. Expressed as a percentage of the total per-unit tax, the producer's incidence is 1550×100%=30%\frac{15}{50} \times 100\% = 30\%.

Step-by-Step Solution

1
Calculate the consumer's share of the unit tax.
The consumer pays an additional 35\text{₦}35 per unit (235200\text{₦}235 - \text{₦}200).
The portion of tax shifted to consumers is reflected directly by the increase in the market price paid by buyers.
2
Calculate the producer's share of the unit tax.
The producer absorbs 15\text{₦}15 per unit (5035\text{₦}50 - \text{₦}35).
The remainder of the per-unit tax that cannot be shifted onto consumers must be absorbed by the seller/producer.
3
Convert the producer's share into a percentage of the total tax per unit.
The producer's tax burden percentage is 30%30\%.
Dividing the producer's unit tax burden (15\text{₦}15) by the total tax per unit (50\text{₦}50) and multiplying by 100100 yields 30%30\%.

Key Concept

Tax Incidence and Shifting of Tax Burden
Estimated Time:1m 30s
Question 1067Question

An economy recorded the following international transactions during a financial year (all figures in millions of US dollars):

ItemValue ($ million)
Merchandise Exports750
Merchandise Imports920
Net Receipts from Invisible Trade (Services)+140
Net Primary Income (Investment Income)-30
Net Secondary Income (Current Transfers)+50
Net Capital and Financial Account Inflows+110

Based on the table above, what is the overall balance of payments surplus or deficit (in millions of US dollars) before official reserves adjustments?

Show answer & explanation

Answer: 100

Answer

The overall balance of payments is a surplus of 100 million USD.
Subtracting merchandise imports (920M)frommerchandiseexports(920M) from merchandise exports ( 750M) gives a visible trade deficit of -170M.Addingnetservices(+170M. Adding net services (+ 140M), net primary income (-30M),andnetcurrenttransfers(+30M), and net current transfers (+ 50M) yields a current account deficit of -10M.Finally,addingnetcapitalandfinancialaccountinflows(+10M. Finally, adding net capital and financial account inflows (+ 110M) produces an overall balance of payments surplus of $100 million.

Step-by-Step Solution

1
Calculate the Balance of Visible Trade
750750 - 920 = -$170 million (Visible Trade Deficit)
Visible trade balance is calculated as merchandise exports minus merchandise imports.
2
Calculate the Current Account Balance
-170+170 + 140 - 30+30 + 50 = -$10 million (Current Account Deficit)
The current account balance combines the visible trade balance, net services receipts, net primary income, and net secondary income.
3
Calculate the Overall Balance of Payments
-10+10 + 110 = $100 million (Overall Surplus)
The overall balance of payments balance equals the current account balance plus the net capital and financial account balance.

Key Concept

Calculation of Balance of Payments components and overall disequilibrium balance
Question 1068Question

A shoe manufacturing workshop operates in the short run with a fixed building and machinery. When employing 55 workers, the average product of labor is 2828 pairs of shoes per day. Adding a 6th6\text{th} worker brings total output to 168168 pairs per day. Upon hiring a 7th7\text{th} worker, the law of diminishing returns causes the marginal product of the 7th7\text{th} worker to be 50%50\% lower than the marginal product of the 6th6\text{th} worker. What is the average product of labor (in pairs of shoes per day) when 77 workers are employed?

Show answer & explanation

Answer: 26

Answer

The average product of labor when 7 workers are employed is 26 pairs of shoes per day.
To find the average product for 7 workers, first determine total product for 5 workers (5×28=1405 \times 28 = 140). The 6th worker adds 168140=28168 - 140 = 28 pairs. With diminishing returns reducing the 7th worker's marginal product by 50%, the 7th worker adds 1414 pairs, bringing total output to 182182 pairs. Dividing 182 by 7 yields an average product of 26 pairs per day.

Step-by-Step Solution

1
Calculate Total Product for 5 workers (TP5TP_5)
TP5=5×28=140TP_5 = 5 \times 28 = 140 pairs
Total Product is the product of Average Product and the number of variable input units (TP=AP×LTP = AP \times L).
2
Determine Marginal Product of the 6th worker (MP6MP_6)
MP6=168140=28MP_6 = 168 - 140 = 28 pairs
Marginal Product is the additional output produced by hiring one more worker (MPn=TPnTPn1MP_n = TP_n - TP_{n-1}).
3
Calculate Marginal Product of the 7th worker (MP7MP_7)
MP7=28×(10.50)=14MP_7 = 28 \times (1 - 0.50) = 14 pairs
Due to diminishing marginal returns, MP7MP_7 is 50% less than MP6MP_6.
4
Calculate Total Product for 7 workers (TP7TP_7)
TP7=168+14=182TP_7 = 168 + 14 = 182 pairs
Total Product with 7 workers is the sum of TP6TP_6 and MP7MP_7.
5
Calculate Average Product for 7 workers (AP7AP_7)
AP7=1827=26AP_7 = \frac{182}{7} = 26 pairs per day
Average Product is total output divided by total units of labor (AP=TPLAP = \frac{TP}{L}).

Key Concept

Short-Run Production and Law of Diminishing Returns
Question 1069Question

The price elasticity of demand for a manufactured commodity is 0.40.4, while its price elasticity of supply is 1.61.6. If the government imposes a specific excise tax of 250\text{₦}250 per unit on the commodity, what is the tax burden per unit borne by the consumer in Naira?

Show answer & explanation

Answer: 200

Answer

The tax burden per unit borne by the consumer is 200 Naira.
Tax incidence depends on the relative price elasticities of demand and supply. The proportion of tax shifted onto consumers is given by Es/(Es+Ed)E_s / (E_s + E_d). Substituting Es=1.6E_s = 1.6 and Ed=0.4E_d = 0.4 yields a fraction of 1.6/2.0=0.81.6 / 2.0 = 0.8. Multiplying this by the total tax of 250\text{₦}250 gives 200\text{₦}200 per unit borne by consumers.

Step-by-Step Solution

1
Extract the given numerical values from the problem statement.
Price elasticity of demand (EdE_d) = 0.40.4, Price elasticity of supply (EsE_s) = 1.61.6, Tax per unit (TT) = 250\text{₦}250.
These parameters determine the relative distribution of tax burden between buyers and sellers.
2
Set up the formula for consumer tax burden based on price elasticities.
Consumer Tax Burden=T×(EsEs+Ed)\text{Consumer Tax Burden} = T \times \left(\frac{E_s}{E_s + E_d}\right)
The burden of a tax falls more heavily on the side of the market that is less elastic.
3
Substitute the values into the incidence equation and solve.
Consumer Tax Burden=250×(1.61.6+0.4)=250×0.8=200\text{Consumer Tax Burden} = 250 \times \left(\frac{1.6}{1.6 + 0.4}\right) = 250 \times 0.8 = 200 Naira.
Consumers pay 80%80\% of the tax because demand is four times as inelastic as supply.

Key Concept

Tax Incidence and Relative Elasticity of Demand and Supply
Question 1070Question

A consumer allocates a total income of ₦15,00015,000 exclusively to buy Good XX and Good YY. The price of Good XX (PXP_X) is ₦1,5001,500 per unit, and the price of Good YY (PYP_Y) is ₦1,0001,000 per unit. If the consumer buys 66 units of Good XX, what is the maximum number of units of Good YY that can be purchased?

Show answer & explanation

Answer: 6

Answer

The maximum number of units of Good YY the consumer can purchase is 66 units.
Using the budget equation I=PXQX+PYQYI = P_X Q_X + P_Y Q_Y, substituting the given values yields 15,000=(1,500×6)+(1,000×QY)15,000 = (1,500 \times 6) + (1,000 \times Q_Y). Simplifying gives 15,000=9,000+1,000QY15,000 = 9,000 + 1,000 Q_Y, so 1,000QY=6,0001,000 Q_Y = 6,000, resulting in QY=6Q_Y = 6 units.

Step-by-Step Solution

1
Calculate expenditure on Good XX
Expenditure on X=6×1,500=9,000X = 6 \times 1,500 = 9,000
Total spending on Good XX is quantity multiplied by unit price.
2
Determine remaining budget for Good YY
Remaining budget = 15,0009,000=6,00015,000 - 9,000 = 6,000
Subtracting expenditure on Good XX from total income leaves the available budget for Good YY.
3
Calculate maximum quantity of Good YY
Quantity of Good Y=6,000/1,000=6Y = 6,000 / 1,000 = 6
Dividing the remaining budget by the unit price of Good YY yields the maximum affordable quantity of Good YY.

Key Concept

Budget Constraint and Linear Budget Equation
Question 1071Question

In a local market, the demand function for rice is given by Qd=804PQ_d = 80 - 4P and the supply function is given by Qs=20+6PQ_s = 20 + 6P, where PP is the price in Naira per bag. What is the market equilibrium price (in Naira)?

Show answer & explanation

Answer: 6

Answer

The market equilibrium price is 6 Naira.
At market equilibrium, quantity demanded equals quantity supplied (Qd=QsQ_d = Q_s). Setting 804P=20+6P80 - 4P = 20 + 6P leads to 60=10P60 = 10P, which gives an equilibrium price of 6 Naira.

Step-by-Step Solution

1
Equate the demand function and the supply function to establish market equilibrium.
804P=20+6P80 - 4P = 20 + 6P
Market equilibrium is defined as the price point where quantity demanded equals quantity supplied (Qd=QsQ_d = Q_s).
2
Collect like terms with price (PP) on one side and constant numerical terms on the other side.
8020=6P+4P    60=10P80 - 20 = 6P + 4P \implies 60 = 10P
Moving 4P-4P to the right side changes its sign to +4P+4P, and moving 2020 to the left side changes its sign to 20-20.
3
Divide both sides by 10 to isolate PP.
P=6P = 6
Dividing 60 by 10 yields the exact equilibrium price of 6 Naira.

Key Concept

Market Equilibrium Price Determination
Question 1072Question

A consumer allocating an income of 1,800\text{₦}1,800 between Good XX and Good YY faces market prices of Px=40P_x = \text{₦}40 and Py=30P_y = \text{₦}30 per unit, respectively. The consumer's Marginal Rate of Substitution of Good XX for Good YY is given by MRSxy=2YXMRS_{xy} = \frac{2Y}{X}. Assuming the consumer maximizes satisfaction subject to their budget constraint, how many units of Good XX will be consumed at equilibrium?

Show answer & explanation

Answer: 30

Answer

At consumer equilibrium under ordinal utility analysis, the optimal quantity of Good XX consumed is 30 units.
At consumer equilibrium under ordinal utility, the tangency condition requires MRSxy=PxPyMRS_{xy} = \frac{P_x}{P_y}. Substituting MRSxy=2YXMRS_{xy} = \frac{2Y}{X} and prices Px=40P_x = 40, Py=30P_y = 30 gives 2YX=4030\frac{2Y}{X} = \frac{40}{30}, which simplifies to Y=23XY = \frac{2}{3}X. Substituting Y=23XY = \frac{2}{3}X into the consumer's budget constraint 40X+30Y=180040X + 30Y = 1800 yields 40X+30(23X)=1800    60X=1800    X=3040X + 30\left(\frac{2}{3}X\right) = 1800 \implies 60X = 1800 \implies X = 30 units.

Step-by-Step Solution

1
Equate the Marginal Rate of Substitution (MRSxyMRS_{xy}) to the price ratio (Px/PyP_x / P_y) to apply the tangency condition for ordinal utility equilibrium.
2YX=4030    2YX=43    6Y=4X    Y=23X\frac{2Y}{X} = \frac{40}{30} \implies \frac{2Y}{X} = \frac{4}{3} \implies 6Y = 4X \implies Y = \frac{2}{3}X
Consumer equilibrium under ordinal utility requires that the slope of the indifference curve (MRSxyMRS_{xy}) equals the slope of the budget line (Px/PyP_x / P_y).
2
Substitute the expression for YY into the budget constraint equation PxX+PyY=IP_x X + P_y Y = I.
40X+30(23X)=180040X + 30\left(\frac{2}{3}X\right) = 1800
To achieve maximum utility within income limits, the entire income of 1,800\text{₦}1,800 must be spent on goods XX and YY.
3
Simplify the equation and solve for the value of XX.
40X+20X=1800    60X=1800    X=3040X + 20X = 1800 \implies 60X = 1800 \implies X = 30
Combining like terms gives a linear equation in XX, yielding 30 units at equilibrium.

Key Concept

Consumer equilibrium under ordinal utility occurs where the highest attainable indifference curve is tangent to the budget line, satisfying MRSxy=PxPyMRS_{xy} = \frac{P_x}{P_y} alongside the budget constraint PxX+PyY=IP_x X + P_y Y = I.
Question 1073Question

A consumer achieves equilibrium under the ordinal utility framework while purchasing Good XX and Good YY. If the market price of Good XX is 150\text{₦}150 and the market price of Good YY is 50\text{₦}50, calculate the Marginal Rate of Substitution of Good XX for Good YY (MRSxyMRS_{xy}) at the equilibrium point.

Show answer & explanation

Answer: 3

Answer

The Marginal Rate of Substitution of Good XX for Good YY (MRSxyMRS_{xy}) at the consumer's equilibrium point is 33.
In ordinal utility theory, consumer equilibrium occurs where the budget line is tangent to the highest attainable indifference curve. At this tangency point, the slope of the indifference curve—known as the Marginal Rate of Substitution (MRSxyMRS_{xy})—equals the ratio of the prices of the two goods (PxPy\frac{P_x}{P_y}). Given Px=150P_x = \text{₦}150 and Py=50P_y = \text{₦}50, MRSxy=15050=3MRS_{xy} = \frac{150}{50} = 3.

Step-by-Step Solution

1
State the consumer equilibrium condition under ordinal utility analysis.
MRSxy=PxPyMRS_{xy} = \frac{P_x}{P_y}
At the point of consumer equilibrium, the indifference curve is tangent to the budget line, meaning their slopes are equal.
2
Substitute the prices of Good XX and Good YY to find the ratio.
MRSxy=15050=3MRS_{xy} = \frac{150}{50} = 3
Dividing the price of Good XX (₦150) by the price of Good YY (₦50) yields the slope of the budget line.

Key Concept

Consumer Equilibrium Tangency Condition
Question 1074Question

A consumer allocates a monthly income of 12,000\text{₦}12,000 between Good XX and Good YY. The market price of Good YY is 400\text{₦}400 per unit. At consumer equilibrium under ordinal utility analysis, the consumer purchases 1515 units of Good YY. If the Marginal Rate of Substitution of Good XX for Good YY (MRSxyMRS_{xy}) at this equilibrium point is 1.51.5, how many units of Good XX does the consumer purchase?

Show answer & explanation

Answer: 10

Answer

10 units
Under ordinal utility theory, consumer equilibrium occurs at the point of tangency between the highest attainable indifference curve and the budget line, satisfying MRSxy=PxPyMRS_{xy} = \frac{P_x}{P_y}. Given MRSxy=1.5MRS_{xy} = 1.5 and Py=400P_y = \text{₦}400, the price of Good XX is Px=1.5×400=600P_x = 1.5 \times 400 = \text{₦}600. Spending 1515 units of YY at 400\text{₦}400 consumes 6,000\text{₦}6,000 of the total 12,000\text{₦}12,000 budget, leaving 6,000\text{₦}6,000 for Good XX. Dividing 6,000\text{₦}6,000 by Px=600P_x = \text{₦}600 yields exactly 1010 units of Good XX.

Step-by-Step Solution

1
Calculate the total expenditure on Good Y
₦6,000
Multiply the equilibrium quantity of Y (15 units) by the unit price of Y (₦400).
2
Determine the remaining budget allocated to Good X
₦6,000
Subtract total expenditure on Y from the overall income (₦12,000 - ₦6,000).
3
Calculate the unit price of Good X using the ordinal equilibrium condition
₦600
At consumer equilibrium under ordinal utility, the slope of the indifference curve equals the slope of the budget line (MRSxy=PxPyMRS_{xy} = \frac{P_x}{P_y}). Thus, 1.5=Px400Px=6001.5 = \frac{P_x}{400} \Rightarrow P_x = 600.
4
Calculate the quantity of Good X purchased
10 units
Divide the expenditure on Good X (₦6,000) by the price of Good X (₦600).

Key Concept

Consumer Equilibrium under Ordinal Utility
Question 1075Question

During a financial reporting period, a nation exported 640millionworthofphysicalmerchandiseandimported640 million worth of physical merchandise and imported 810 million worth of physical merchandise. Over the same period, the country recorded +115millioninnetinvisibletrade(services)andreceived115 million in net invisible trade (services) and received 50 million in net unilateral transfers from abroad. Calculate the nation's current account balance in millions of dollars (use a negative sign to indicate a deficit).

Show answer & explanation

Answer: -5

Answer

The nation's current account balance is -5million(adeficitof5 million (a deficit of 5 million).
The Current Account balance is calculated by taking the sum of the balance of visible trade (merchandise exports minus merchandise imports), net invisible trade (services balance), and net unilateral transfers. Here, the visible trade balance is 640million640 million - 810 million = -170million.Addingnetinvisibletrade(+170 million. Adding net invisible trade (+ 115 million) and net unilateral transfers (+50million)yieldsacurrentaccountbalanceof50 million) yields a current account balance of - 170 million + 115million+115 million + 50 million = -$5 million.

Step-by-Step Solution

1
Calculate the Balance of Visible Trade (Merchandise Balance)
640million640 million - 810 million = -$170 million
Visible trade balance consists strictly of tangible merchandise exports minus merchandise imports.
2
Calculate the total Current Account Balance
-170million+170 million + 115 million + 50million=50 million = - 5 million
The Current Account encompasses the balance of visible trade, net invisible trade (services), and net unilateral/unrequited transfers.

Key Concept

Structure of Balance of Payments: Current Account Balance
Estimated Time:1m 0s
Question 1076Question

In an open four-sector economy, the circular flow of income is in equilibrium when total leakages (withdrawals) equal total injections. If planned savings (SS) is $80 million\$80\text{ million}, imports (MM) are $45 million\$45\text{ million}, planned investment (II) is $95 million\$95\text{ million}, government expenditure (GG) is $60 million\$60\text{ million}, and exports (XX) are $40 million\$40\text{ million}, what is the required value of government tax revenue (TT) in millions of dollars?

Show answer & explanation

Answer: 70

Answer

The required government tax revenue to achieve circular flow equilibrium is 70 million dollars.
Circular flow equilibrium in a four-sector economy occurs when total leakages (withdrawals) equal total injections: S+T+M=I+G+XS + T + M = I + G + X. Summing total injections gives $95+$60+$40=$195 million\$95 + \$60 + \$40 = \$195\text{ million}. Substituting known leakages gives $80+T+$45=$125+T\$80 + T + \$45 = \$125 + T. Equating total leakages to total injections yields $125+T=$195\$125 + T = \$195, which solves to T=70 million dollarsT = 70\text{ million dollars}.

Step-by-Step Solution

1
Identify the equilibrium condition for a four-sector circular flow model
S+T+M=I+G+XS + T + M = I + G + X
Macroeconomic equilibrium in a four-sector economy requires total withdrawals (savings, taxation, imports) to equal total injections (investment, government spending, exports).
2
Compute total injections into the income stream
I+G+X=95+60+40=195 million dollarsI + G + X = 95 + 60 + 40 = 195\text{ million dollars}
Summing investment spending, government purchases, and export earnings provides the total injection.
3
Substitute known values into the leakages-injections identity
80+T+45=195    125+T=19580 + T + 45 = 195 \implies 125 + T = 195
Combining known leakages (savings and imports) with the unknown tax revenue variable.
4
Solve for tax revenue (TT)
T=195125=70 million dollarsT = 195 - 125 = 70\text{ million dollars}
Subtracting non-tax withdrawals from total injections yields the required tax value.

Key Concept

Four-Sector Circular Flow Equilibrium (Total Leakages = Total Injections)
Question 1077Question

The following financial statistics were extracted from the national income accounts of an economy for a given fiscal year:

ComponentAmount (₦ million)
Compensation of employees410
Rent on property95
Net interest income70
Undistributed corporate profits and dividends135
Mixed income of self-employed individuals110
Old-age pension payments50
Consumption of fixed capital40
Net factor income from abroad30

Using the income method, calculate the Gross Domestic Product (GDPGDP) at factor cost in ₦ million.

Show answer & explanation

Answer: 820

Answer

The Gross Domestic Product (GDPGDP) at factor cost calculated using the income method is 820 ₦ million.
Under the income approach, Gross Domestic Product (GDPGDP) at factor cost is derived by summing all domestic factor rewards: Compensation of employees (410₦410 m) + Rent (95₦95 m) + Net interest (70₦70 m) + Corporate profits (135₦135 m) + Mixed income (110₦110 m) = 820₦820 million. Old-age pensions are excluded because transfer payments do not represent payment for current economic output. Consumption of fixed capital is not subtracted when computing Gross output, and Net factor income from abroad is excluded because the measure requested is domestic, not national.

Step-by-Step Solution

1
Identify and select factor income components earned from domestic production.
Factor incomes = Compensation of employees (410₦410 m), Rent (95₦95 m), Net interest (70₦70 m), Corporate profits (135₦135 m), and Mixed income (110₦110 m).
The income method sums all factor rewards earned by domestic owners of factors of production.
2
Filter out non-factor payments, depreciation, and foreign factor receipts.
Excluded items: Old-age pension payments (50₦50 m), Consumption of fixed capital (40₦40 m), and Net factor income from abroad (30₦30 m).
Transfer payments do not reflect current output; depreciation is not deducted for Gross income; and NFIA converts domestic aggregate to national aggregate.
3
Calculate total Gross Domestic Product at factor cost (GDPFCGDP_{FC}).
GDPFC=410+95+70+135+110=820GDP_{FC} = 410 + 95 + 70 + 135 + 110 = 820 million Naira.
Adding all earned domestic factor incomes yields total GDP at factor cost.

Key Concept

Income Method of Measuring National Income
Question 1078Question

In a fiscal year, a government spent a total of N1.20 trillion\text{N}1.20\text{ trillion} on public expenditure. If capital expenditure on development projects accounted for N450 billion\text{N}450\text{ billion}, what percentage of the total public expenditure was allocated to recurrent expenditure?

Show answer & explanation

Answer: 62.5

Answer

The percentage share of total public expenditure allocated to recurrent expenditure is 62.5%.
Total public expenditure is divided into recurrent expenditure and capital expenditure. Subtracting capital expenditure (N450 billion\text{N}450\text{ billion}) from total public spending (N1,200 billion\text{N}1,200\text{ billion}) yields recurrent expenditure of N750 billion\text{N}750\text{ billion}. Dividing N750 billion\text{N}750\text{ billion} by N1,200 billion\text{N}1,200\text{ billion} and multiplying by 100100 gives 62.5%62.5\%.

Step-by-Step Solution

1
Convert total expenditure to billions of Naira
Total Expenditure = N1,200 billion\text{N}1,200\text{ billion}
Harmonizes units for straightforward calculation.
2
Calculate recurrent expenditure
Recurrent Expenditure = N1,200 billionN450 billion=N750 billion\text{N}1,200\text{ billion} - \text{N}450\text{ billion} = \text{N}750\text{ billion}
Public expenditure comprises recurrent expenditure (operational costs) and capital expenditure (investment/infrastructure).
3
Compute the percentage share
(7501200)×100=62.5%\left(\frac{750}{1200}\right) \times 100 = 62.5\%
Determines the proportion of total public spending directed toward recurring operational administration.

Key Concept

Classification and breakdown of public expenditure into capital and recurrent categories
Question 1079Question

The following table presents the macroeconomic accounts of a West African economy for a given fiscal year:

Macroeconomic Aggregate / ComponentValue (N\text{N} million)
Private Consumption Expenditure (CC)4,250
Government Final Consumption Expenditure (GG)1,380
Gross Fixed Capital Formation1,150
Increase in Stocks (Inventories)160
Exports of Goods and Services (XX)720
Imports of Goods and Services (MM)890
Net Factor Income from Abroad-110
Indirect Taxes460
Subsidies90
Consumption of Fixed Capital (Depreciation)340

Using the expenditure method, what is the Net National Product at factor cost (NNPfcNNP_{fc}) of the country in millions of Naira?

Show answer & explanation

Answer: 5950

Answer

The Net National Product at factor cost (NNPfcNNP_{fc}) of the country is 5,950 million Naira.
Using the expenditure approach, Gross Domestic Product at market prices (GDPmpGDP_{mp}) is calculated as C+I+G+(XM)C + I + G + (X - M). Gross Investment (II) equals Gross Fixed Capital Formation (1,1501,150 million Naira) plus Increase in Stocks (160160 million Naira), giving 1,3101,310 million Naira. Thus, GDPmp=4,250+1,310+1,380+(720890)=6,770GDP_{mp} = 4,250 + 1,310 + 1,380 + (720 - 890) = 6,770 million Naira. Adding Net Factor Income from Abroad (110-110 million Naira) yields GNPmp=6,660GNP_{mp} = 6,660 million Naira. Subtracting Net Indirect Taxes (46090=370460 - 90 = 370 million Naira) gives GNPfc=6,290GNP_{fc} = 6,290 million Naira. Finally, deducting Consumption of Fixed Capital (340340 million Naira) results in Net National Product at factor cost (NNPfcNNP_{fc}) of 5,950 million Naira.

Step-by-Step Solution

1
Determine Gross Private Domestic Investment (II)
I=1,150+160=1,310I = 1,150 + 160 = 1,310 million Naira
Gross Private Domestic Investment comprises both gross fixed capital formation and physical additions to stocks or inventories.
2
Compute Net Exports (XMX - M)
Net Exports = 720890=170720 - 890 = -170 million Naira
Imports are subtracted from exports to obtain net foreign expenditure.
3
Calculate Gross Domestic Product at market prices (GDPmpGDP_{mp})
GDPmp=4,250+1,310+1,380+(170)=6,770GDP_{mp} = 4,250 + 1,310 + 1,380 + (-170) = 6,770 million Naira
Under the expenditure method, GDPmp=C+I+G+(XM)GDP_{mp} = C + I + G + (X - M).
4
Convert GDPmpGDP_{mp} to Gross National Product at market prices (GNPmpGNP_{mp})
GNPmp=6,770+(110)=6,660GNP_{mp} = 6,770 + (-110) = 6,660 million Naira
Adding Net Factor Income from Abroad converts domestic output to national output.
5
Adjust for Net Indirect Taxes to find GNPfcGNP_{fc}
GNPfc=6,660(46090)=6,290GNP_{fc} = 6,660 - (460 - 90) = 6,290 million Naira
Subtracting Net Indirect Taxes (Indirect Taxes minus Subsidies) converts market price valuations to factor cost valuations.
6
Deduct Depreciation to arrive at NNPfcNNP_{fc}
NNPfc=6,290340=5,950NNP_{fc} = 6,290 - 340 = 5,950 million Naira
Deducting consumption of fixed capital (depreciation) yields the net national income at factor cost.

Key Concept

Expenditure Method of Measuring National Income and Deriving Aggregates
Question 1080Question

A commercial aquaculture catfish farm operates in the short run with fixed pond facilities and variable labor (LL). When 44 units of labor are employed, the average product of labor (APLAP_L) is 25 kg25\text{ kg}. Employing the 5th5\text{th} unit of labor yields a marginal product (MPLMP_L) of 40 kg40\text{ kg}. When the 6th6\text{th} unit of labor is added, the law of diminishing returns sets in, causing the marginal product of the 6th6\text{th} worker to decrease by 30%30\% relative to that of the 5th5\text{th} worker. What is the total product (TPTP) in kg when 66 units of labor are employed?

Show answer & explanation

Answer: 168

Answer

The total product when 6 units of labor are employed is 168 kg.
The total output when 6 workers are employed is 168 kg. First, output for 4 workers is 4×25 kg=100 kg4 \times 25\text{ kg} = 100\text{ kg}. Adding the 5th worker increases total output to 100 kg+40 kg=140 kg100\text{ kg} + 40\text{ kg} = 140\text{ kg}. With diminishing marginal returns, the 6th worker contributes 30%30\% less than the 5th worker, which equals 40×(10.30)=28 kg40 \times (1 - 0.30) = 28\text{ kg}. Therefore, total output for 6 workers is 140 kg+28 kg=168 kg140\text{ kg} + 28\text{ kg} = 168\text{ kg}.

Step-by-Step Solution

1
Calculate Total Product for 4 units of labor
Total Product at L = 4 is 100 kg
Total product is derived by multiplying average product by the total labor employed (TP=AP×LTP = AP \times L).
2
Calculate Total Product for 5 units of labor
Total Product at L = 5 is 140 kg
Adding the marginal product of the 5th worker (40 kg40\text{ kg}) to TP4TP_4 (100 kg100\text{ kg}) yields TP5TP_5.
3
Calculate Marginal Product of the 6th worker
Marginal product of the 6th worker is 28 kg
Diminishing marginal returns cause MP6MP_6 to drop by 30% from MP5MP_5, giving MP6=40×0.70=28 kgMP_6 = 40 \times 0.70 = 28\text{ kg}.
4
Calculate Total Product for 6 units of labor
Total Product at L = 6 is 168 kg
Summing TP5TP_5 (140 kg140\text{ kg}) and MP6MP_6 (28 kg28\text{ kg}) gives the total output for 6 workers.

Key Concept

Short-Run Production, Marginal Product, and Law of Diminishing Returns
PreviousPage 54 / 77Next
All practice questions — JAMB UTME | Examkin