Tüm alıştırma soruları

1526 soru

Soru 301Soru

In a non-collusive oligopolistic market, a leading firm faces a kinked demand curve with two distinct price-demand relationships: for price increases above the current equilibrium, the demand curve is P1=2802QP_1 = 280 - 2Q; for price cuts below the current equilibrium, the demand curve is P2=4005QP_2 = 400 - 5Q, where PP is price in Naira (₦) and QQ is output in units. What is the value of the vertical discontinuity (gap) in the firm's marginal revenue curve at the kink equilibrium quantity?

Cevabı ve açıklamayı göster

Cevap: 120

Cevap

The vertical discontinuity (gap) in the firm's marginal revenue curve at the kink equilibrium quantity is 120 Naira.
At the kink quantity Q=40Q = 40, the marginal revenue curve experiences a vertical jump (discontinuity) because the slope of the demand curve changes abruptly from 2-2 (for price increases) to 5-5 (for price cuts). The upper segment marginal revenue at Q=40Q = 40 is MR1=2804(40)=120MR_1 = 280 - 4(40) = 120, while the lower segment marginal revenue at Q=40Q = 40 is MR2=40010(40)=0MR_2 = 400 - 10(40) = 0. Subtracting the lower value from the upper value yields a vertical gap of 120120 Naira.

Adım Adım Çözüm

1
Equate the two demand equations to find the kink equilibrium quantity (Q0Q_0).
2802Q=4005Q    3Q=120    Q0=40 units280 - 2Q = 400 - 5Q \implies 3Q = 120 \implies Q_0 = 40\text{ units}.
The kink occurs where the upper elastic demand segment intersects the lower inelastic demand segment.
2
Derive the marginal revenue function for the segment above the kink (MR1MR_1) and evaluate it at Q0=40Q_0 = 40.
TR1=P1Q=280Q2Q2    MR1=dTR1dQ=2804QTR_1 = P_1 \cdot Q = 280Q - 2Q^2 \implies MR_1 = \frac{dTR_1}{dQ} = 280 - 4Q. At Q=40Q = 40, MR1=2804(40)=120 NairaMR_1 = 280 - 4(40) = 120\text{ Naira}.
Determines the upper bound of the marginal revenue gap at the kink output.
3
Derive the marginal revenue function for the segment below the kink (MR2MR_2) and evaluate it at Q0=40Q_0 = 40.
TR2=P2Q=400Q5Q2    MR2=dTR2dQ=40010QTR_2 = P_2 \cdot Q = 400Q - 5Q^2 \implies MR_2 = \frac{dTR_2}{dQ} = 400 - 10Q. At Q=40Q = 40, MR2=40010(40)=0 NairaMR_2 = 400 - 10(40) = 0\text{ Naira}.
Determines the lower bound of the marginal revenue gap at the kink output.
4
Compute the vertical discontinuity (gap) in the marginal revenue curve.
\text{Gap} = MR_1 - MR_2 = 120 - 0 = 120\text{ Naira}.
The gap represents the range within which marginal cost can fluctuate without altering the firm's optimal price or output level under price rigidity.

Anahtar Kavram

Kinked Demand Curve and Marginal Revenue Discontinuity in Oligopoly
Soru 302Soru

In an economy operating under Fisher's Quantity Theory of Money (MV=PTMV = PT), the initial stock of money (MM) is ₦500 million, the velocity of money circulation (VV) is 4, and the total volume of transactions (TT) is 100 million units. If the money supply increases by 25%25\%, the velocity of circulation decreases by 10%10\%, and the volume of transactions increases by 25%25\%, what is the new price level (PP)?

Cevabı ve açıklamayı göster

Cevap: 18

Cevap

The new price level PP is ₦18.
Applying Fisher's Quantity Theory of Money (MV=PTMV = PT), the updated variables are M=625M = 625, V=3.6V = 3.6, and T=125T = 125. Substituting these values into P=MVTP = \frac{MV}{T} gives P=625×3.6125=2250125=18P = \frac{625 \times 3.6}{125} = \frac{2250}{125} = 18. Alternatively, notice that the 25%25\% increase in money supply (MM) is exactly offset by the 25%25\% increase in real transaction volume (TT), meaning the price level changes solely due to the 10%10\% decrease in velocity (VV). Reducing the initial price level of ₦20 by 10%10\% gives 20×0.90=1820 \times 0.90 = 18.

Adım Adım Çözüm

1
Calculate the updated values for money supply (M2M_2), velocity (V2V_2), and transaction volume (T2T_2) following the specified percentage changes.
M2=500×1.25=625M_2 = 500 \times 1.25 = 625 million Naira, V2=4×0.90=3.6V_2 = 4 \times 0.90 = 3.6, and T2=100×1.25=125T_2 = 100 \times 1.25 = 125 million units.
The parameters of Fisher's equation must be adjusted according to their relative percentage increases or decreases.
2
Substitute the updated parameters into Fisher's Equation of Exchange (MV=PTMV = PT).
625×3.6=P2×125625 \times 3.6 = P_2 \times 125, simplifying to 2250=125P22250 = 125 P_2.
According to the Quantity Theory of Money, total monetary expenditure (MVMV) equals total nominal transaction value (PTPT).
3
Solve the linear equation for the unknown new price level (P2P_2).
P2=2250125=18P_2 = \frac{2250}{125} = 18.
Dividing total money expenditure by total volume of transactions yields the average price per unit.

Anahtar Kavram

Fisher's Quantity Theory of Money (Equation of Exchange)
Tahmini Süre:2m 0s
Soru 303Soru

A consumer's maximum willingness to pay for successive packets of milk in a retail market is given in the schedule below:

Unit of MilkMaximum Willingness to Pay (₦)
1st500
2nd400
3rd300
4th200
5th100

If the market price of a packet of milk is fixed at ₦200, what is the total consumer surplus (in Naira) enjoyed by the consumer when purchasing 4 packets?

Cevabı ve açıklamayı göster

Cevap: 600

Cevap

The total consumer surplus enjoyed by the consumer is 600 Naira.
Total willingness to pay for the 4 packets of milk is 500+400+300+200=1400500 + 400 + 300 + 200 = 1400 Naira. The actual total expenditure for 4 packets at the uniform market price of 200 Naira is 4×200=8004 \times 200 = 800 Naira. Subtracting the actual total expenditure from total willingness to pay gives a consumer surplus of 1400800=6001400 - 800 = 600 Naira.

Adım Adım Çözüm

1
Calculate total willingness to pay for 4 packets
₦1,400
Sum the maximum prices the consumer is willing to pay for the first 4 units: 500+400+300+200=1400500 + 400 + 300 + 200 = 1400.
2
Calculate total actual expenditure
₦800
Multiply the market price per unit by the total number of units purchased: 4×200=8004 \times 200 = 800.
3
Subtract total actual expenditure from total willingness to pay
₦600
Consumer surplus is the net monetary gain obtained when total valuation exceeds total expenditure: 1400800=6001400 - 800 = 600.

Anahtar Kavram

Consumer Surplus is the difference between the maximum total amount a consumer is willing to pay for a commodity and the actual total amount paid at the prevailing market price.
Tahmini Süre:1m 30s
Soru 304Soru

The table below shows the output of Cocoa (bags) and Solar Panels (units) produced per unit of labor in Country A and Country B:

CountryCocoa (bags)Solar Panels (units)
Country A5025
Country B4040

Before trade, each country possesses 10 units of labor and allocates 5 units of labor to Cocoa production and 5 units of labor to Solar Panel production. If both countries decide to specialize completely according to the principle of comparative advantage, what is the net increase in total world output of Cocoa?

Cevabı ve açıklamayı göster

Cevap: 50

Cevap

The net increase in total world output of Cocoa is 50 bags.
Country A has a lower opportunity cost of Cocoa (0.50.5 Solar Panels per bag of Cocoa compared to Country B's 1.01.0 Solar Panel per bag of Cocoa), giving Country A a comparative advantage in Cocoa. Before specialization, world Cocoa production is (5×50)+(5×40)=450(5 \times 50) + (5 \times 40) = 450 bags. Upon complete specialization, Country A uses all 10 labor units to produce 10×50=50010 \times 50 = 500 bags of Cocoa. The net gain in total world output of Cocoa is 500450=50500 - 450 = 50 bags.

Adım Adım Çözüm

1
Determine opportunity costs and comparative advantage for Cocoa
Country A's opportunity cost of 1 Cocoa = 0.5 Solar Panels; Country B's opportunity cost of 1 Cocoa = 1.0 Solar Panel. Country A specializes in Cocoa.
Comparative advantage belongs to the country with the lower opportunity cost in producing that commodity.
2
Calculate initial total world output of Cocoa before specialization
Country A: 5 labor units×50=250 bags5 \text{ labor units} \times 50 = 250 \text{ bags}; Country B: 5 labor units×40=200 bags5 \text{ labor units} \times 40 = 200 \text{ bags}. Total initial Cocoa output = 450 bags.
Each country initially allocates half of its 10 labor units (5 units) to Cocoa production.
3
Calculate total world output of Cocoa after complete specialization
Country A: 10 labor units×50=500 bags10 \text{ labor units} \times 50 = 500 \text{ bags}; Country B: 0 bags. Total post-specialization Cocoa output = 500 bags.
Country A devotes all 10 labor units to Cocoa production.
4
Calculate the net increase in total world Cocoa output
500 bags450 bags=50 bags500 \text{ bags} - 450 \text{ bags} = 50 \text{ bags}.
Subtract initial aggregate output from post-specialization aggregate output.

Anahtar Kavram

Theory of Comparative Advantage and World Production Gains
Soru 305Soru

An economy recorded the following macroeconomic expenditure components during a fiscal year: Personal Consumption Expenditure (CC) of $650\$650 million, Gross Private Domestic Investment (II) of $220\$220 million, Government Purchase of Goods and Services (GG) of $310\$310 million, Exports (XX) of $140\$140 million, and Imports (MM) of $160\$160 million. Additionally, Net Factor Income from Abroad (NFIANFIA) was $25\$25 million. Calculate the Gross National Product at market price (GNPmpGNP_{mp}) of this economy in millions of dollars.

Cevabı ve açıklamayı göster

Cevap: 1185

Cevap

The Gross National Product at market price (GNPmpGNP_{mp}) of the economy is 11851185 million dollars.
Using the expenditure method, Gross Domestic Product (GDPmpGDP_{mp}) is calculated as C+I+G+(XM)=650+220+310+(140160)=1160C + I + G + (X - M) = 650 + 220 + 310 + (140 - 160) = 1160 million dollars. Adding Net Factor Income from Abroad (NFIA=25NFIA = 25 million dollars) yields the Gross National Product (GNPmp=1160+25=1185GNP_{mp} = 1160 + 25 = 1185 million dollars).

Adım Adım Çözüm

1
Calculate Gross Domestic Product at market price (GDPmpGDP_{mp}) using the expenditure approach formula: GDPmp=C+I+G+(XM)GDP_{mp} = C + I + G + (X - M).
GDPmp=650+220+310+(140160)=1160GDP_{mp} = 650 + 220 + 310 + (140 - 160) = 1160 million dollars.
The expenditure method sums private consumption, gross investment, government purchases, and net exports (XMX - M) to determine total domestic output.
2
Adjust GDPmpGDP_{mp} by adding Net Factor Income from Abroad (NFIANFIA) to derive Gross National Product at market price (GNPmpGNP_{mp}): GNPmp=GDPmp+NFIAGNP_{mp} = GDP_{mp} + NFIA.
GNPmp=1160+25=1185GNP_{mp} = 1160 + 25 = 1185 million dollars.
Gross National Product measures total income earned by residents of a nation, requiring the inclusion of net factor income earned from overseas.

Anahtar Kavram

Measurement of Gross National Product via Expenditure Approach
Tahmini Süre:1m 30s
Soru 306Soru

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?

Cevabı ve açıklamayı göster

Cevap: 60

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Market Equilibrium and Disequilibrium Shortage
Soru 307Soru

A consumer's demand function for petrol in a local Nigerian market is given by the linear equation P=2008QP = 200 - 8Q, where PP represents the price per liter in Naira and QQ represents the quantity demanded in liters. If the current market price of petrol is established at N80\text{N}80 per liter, calculate the consumer surplus in Naira.

Cevabı ve açıklamayı göster

Cevap: 900

Cevap

The value of the consumer surplus is 900 Naira.
Consumer surplus is the difference between total willingness to pay and total actual expenditure. Graphically, for a linear demand curve, it is the area of the triangle bounded by the price axis, the market price line, and the demand curve. With market price P = 80 Naira and quantity Q = 15 liters, the price intercept is 200 Naira. The area of the triangle is calculated as 0.5 * 15 * (200 - 80) = 900 Naira.

Adım Adım Çözüm

1
Determine quantity demanded at the market price
Q = 15 liters
Substitute P = 80 into the demand equation P = 200 - 8Q and solve for Q.
2
Find the maximum willingness to pay (vertical axis intercept)
P_max = 200 Naira
At zero quantity consumed (Q = 0), the maximum price the consumer is willing to pay is 200 Naira.
3
Calculate the area of the triangular consumer surplus region
Consumer Surplus = 900 Naira
Consumer Surplus = 0.5 * Base * Height = 0.5 * 15 * (200 - 80) = 900.

Anahtar Kavram

Calculation of Consumer Surplus from a Linear Demand Function
Tahmini Süre:2m 0s
Soru 308Soru

The central monetary authority of an economy published the following financial statistics (in billions of Naira):

- Currency notes and coins held by the non-bank public: 380380
- Vault cash inside commercial bank tills: 7070
- Demand deposits of the non-bank public at commercial banks: 620620
- Savings and fixed time deposits at commercial banks: 950950
- Government deposits held at the central bank: 150150

Calculate the total value of narrow money supply (M1M_1) in billions of Naira.

Cevabı ve açıklamayı göster

Cevap: 1000

Cevap

1000 billion Naira
Narrow money supply (M1M_1) comprises strictly currency in circulation outside the banking sector (380 billion Naira380\text{ billion Naira}) and demand deposits (620 billion Naira620\text{ billion Naira}) held by the public at commercial banks. Adding these two components gives 1000 billion Naira1000\text{ billion Naira}. Vault cash, quasi-money (savings/fixed deposits), and government central bank balances are intentionally excluded from M1M_1.

Adım Adım Çözüm

1
Define the components included in narrow money supply (M1M_1).
M1=Currency in circulation outside banks+Demand deposits of the non-bank publicM_1 = \text{Currency in circulation outside banks} + \text{Demand deposits of the non-bank public}
Narrow money measures highly liquid assets readily available for medium of exchange transactions.
2
Filter out irrelevant financial figures.
Include 380 billion Naira380\text{ billion Naira} (currency with public) and 620 billion Naira620\text{ billion Naira} (demand deposits). Exclude vault cash (70 billion Naira70\text{ billion Naira}), savings/time deposits (950 billion Naira950\text{ billion Naira}), and government deposits at the central bank (150 billion Naira150\text{ billion Naira}).
Vault cash is part of bank reserves; savings and time deposits constitute quasi-money (M2M_2); government central bank deposits are excluded from private/public money supply definitions.
3
Sum the relevant components to find M1M_1.
M1=380+620=1000 billion NairaM_1 = 380 + 620 = 1000\text{ billion Naira}
Adding currency in circulation to demand deposits yields total narrow money supply.

Anahtar Kavram

Calculation of Narrow Money Supply (M1)
Soru 309Soru

A West African nation records the following international transactions during a financial year:

Transaction ItemValue ($ Million)
Export of agricultural produce850
Import of capital machinery920
Earnings from foreign tourism140
Freight fees paid to foreign shipping firms60
Net unrequited transfers received90

Based on the table, calculate the country's Current Account Balance in millions of US dollars ($ million).

Cevabı ve açıklamayı göster

Cevap: 100

Cevap

The Current Account Balance is $100 million.
The Current Account Balance comprises the visible trade balance (merchandise exports minus merchandise imports), invisible trade balance (service receipts minus service payments), and net unrequited transfers. Here, Visible Balance = 850m850m - 920m = -70m.NetInvisibleBalance=70m. Net Invisible Balance = 140m - 60m=+60m = + 80m. Net Unrequited Transfers = +90m.Addingthesetogetheryields90m. Adding these together yields - 70m + 80m+80m + 90m = $100m surplus.

Adım Adım Çözüm

1
Calculate the Balance of Visible Trade (Merchandise Trade)
850 million850 \text{ million} - 920 \text{ million} = -70 million70 \text{ million}
Visible trade balance is calculated as visible exports minus visible imports.
2
Calculate the Net Invisible Balance (Services)
140 million140 \text{ million} - 60 \text{ million} = +80 million80 \text{ million}
Invisible balance accounts for service inflows (tourism receipts) minus service outflows (freight payments).
3
Sum all components of the current account
-70 million+70 \text{ million} + 80 \text{ million} + 90 million=90 \text{ million} = 100 \text{ million}$
The Current Account Balance is the sum of the visible trade balance, net invisible trade balance, and net unrequited transfers.

Anahtar Kavram

Structure of the Current Account in the Balance of Payments
Soru 310Soru

In an economic statistics report of a country, the total currency in circulation outside commercial banks is N300 billion\text{N}300\text{ billion} and demand deposits held in commercial banks total N500 billion\text{N}500\text{ billion}. In addition, savings deposits stand at N250 billion\text{N}250\text{ billion}. What is the value of the narrow money supply (M1M_1) in billions of Naira?

Cevabı ve açıklamayı göster

Cevap: 800

Cevap

The narrow money supply (M1M_1) is 800 billion Naira.
Narrow Money (M1M_1) includes only currency outside commercial banks and demand deposits. Adding N300 billion\text{N}300\text{ billion} and N500 billion\text{N}500\text{ billion} gives N800 billion\text{N}800\text{ billion}. Savings deposits are excluded from M1M_1.

Adım Adım Çözüm

1
Identify the components of Narrow Money (M1M_1).
Narrow Money (M1M_1) consists of currency in circulation outside banks plus demand deposits in commercial banks.
Savings deposits are classified as quasi-money (near money) and belong to Broad Money (M2M_2), not M1M_1.
2
Sum currency outside banks and demand deposits.
N300 billion+N500 billion=N800 billion\text{N}300\text{ billion} + \text{N}500\text{ billion} = \text{N}800\text{ billion}.
Adding these two components gives the narrow money aggregate (M1M_1).

Anahtar Kavram

Components of Narrow Money Supply (M1)
Soru 311Soru

In a national economy, the initial money supply (MM) is N800\text{N}800 billion and the velocity of circulation (VV) is 55. The total volume of physical transactions (TT) is 200200 million units. If the monetary authority increases the money supply by 25%25\% while the velocity of circulation declines by 10%10\%, assuming the general price level (PP) remains constant, what is the new total volume of transactions (TT) in millions of units?

Cevabı ve açıklamayı göster

Cevap: 225

Cevap

The new total volume of transactions is 225 million units.
According to Fisher's Quantity Theory of Money (MV=PTMV = PT), total expenditure (MVMV) equals total transaction value (PTPT). The initial expenditure is 800 billion×5=4,000 billion800 \text{ billion} \times 5 = 4,000 \text{ billion}. Since T=200 millionT = 200 \text{ million}, the general price level P=20,000P = 20,000. After adjustments, the new money supply M=800×1.25=1,000 billionM' = 800 \times 1.25 = 1,000 \text{ billion} and the new velocity V=5×0.90=4.5V' = 5 \times 0.90 = 4.5. The new expenditure MV=1,000×4.5=4,500 billionM'V' = 1,000 \times 4.5 = 4,500 \text{ billion}. Holding PP constant at 20,00020,000, the new volume of transactions is T=4,500,000 million20,000=225 million unitsT' = \frac{4,500,000 \text{ million}}{20,000} = 225 \text{ million units}. Alternatively, using proportional change: T=T×1.25×0.90=200×1.125=225 million unitsT' = T \times 1.25 \times 0.90 = 200 \times 1.125 = 225 \text{ million units}.

Adım Adım Çözüm

1
State the initial relationship using Fisher's Equation of Exchange: MV=PTMV = PT.
Initial total turnover MV=800 billion×5=4,000 billionMV = 800 \text{ billion} \times 5 = 4,000 \text{ billion}. With T=200 millionT = 200 \text{ million}, the baseline price level P=4,000,000 million200 million=20,000P = \frac{4,000,000 \text{ million}}{200 \text{ million}} = 20,000.
Establishes the quantitative relationship between money supply, velocity, price level, and physical volume of transactions.
2
Calculate the updated values of money supply (MM') and velocity of circulation (VV').
M=800 billion×1.25=1,000 billionM' = 800 \text{ billion} \times 1.25 = 1,000 \text{ billion}; V=5×0.90=4.5V' = 5 \times 0.90 = 4.5.
Applies the specified 25%25\% increase to money supply and 10%10\% decrease to velocity.
3
Determine the new total monetary expenditure (MVM'V').
MV=1,000 billion×4.5=4,500 billionM'V' = 1,000 \text{ billion} \times 4.5 = 4,500 \text{ billion}.
Finds the new aggregate money payments flow in the economy.
4
Solve for the new total transaction volume (TT') keeping price level (PP) constant.
T=MVP=4,500,000 million20,000=225 million unitsT' = \frac{M'V'}{P} = \frac{4,500,000 \text{ million}}{20,000} = 225 \text{ million units}.
Re-arranges Fisher's equation to isolate TT' when PP is unchanged.

Anahtar Kavram

Fisher's Quantity Theory of Money (MV=PTMV = PT)
Soru 312Soru

If the foreign exchange rate of the US Dollar ()againsttheNigerianNaira()changesfrom) against the Nigerian Naira (₦) changes from 1 = ₦400 to $1 = ₦500, what is the percentage depreciation of the Naira against the US Dollar?

Cevabı ve açıklamayı göster

Cevap: 20

Cevap

The percentage depreciation of the Naira against the US Dollar is 20%.
Currency depreciation represents the percentage decrease in the value of a domestic currency relative to a foreign currency. Initially, ₦1 bought 1400=\frac{1}{400} = 0.0025 .Aftertheexchangeratechangedto. After the exchange rate changed to 1 = ₦500, ₦1 buys 1500=\frac{1}{500} = 0.0020 .Thelossinvalueis. The loss in value is 0.0005 per Naira, which equals a 20% decline from the initial value of $0.0025.

Adım Adım Çözüm

1
Determine the initial value of 1 Naira in terms of US Dollars
Initial value of ₦1 = 1400=\frac{1}{400} = 0.0025$
Currency value is expressed in terms of how many units of foreign currency one unit of domestic currency can buy.
2
Determine the new value of 1 Naira in terms of US Dollars
New value of ₦1 = 1500=\frac{1}{500} = 0.0020$
To assess the new purchasing power of 1 unit of domestic currency in foreign exchange.
3
Calculate the absolute decrease in the value of 1 Naira
Loss in value = 0.00250.0020=0.0025 - 0.0020 = 0.0005$
To find the magnitude of the loss in currency value.
4
Compute the percentage depreciation
Percentage depreciation = 0.00050.0025×100%=20%\frac{0.0005}{0.0025} \times 100\% = 20\%
Percentage depreciation measures the change in value relative to the original value of the domestic currency.

Anahtar Kavram

Currency Depreciation Calculation
Soru 313Soru

An individual earns a taxable annual income of N500,000\text{N}500,000. Under a proportional tax system with a fixed tax rate of 15%15\%, calculate the total tax paid in Naira.

Cevabı ve açıklamayı göster

Cevap: 75000

Cevap

The total tax paid by the individual is 75,000 Naira.
In a proportional tax system (flat tax), the same percentage rate is applied regardless of income. Multiplying N500,000\text{N}500,000 by 15%15\% (0.150.15) results in a tax liability of 75,00075,000 Naira.

Adım Adım Çözüm

1
Identify the given income and the proportional tax rate.
Taxable income = N500,000\text{N}500,000, Proportional tax rate = 15%15\%.
A proportional tax applies a constant percentage rate to all income levels.
2
Calculate the amount of tax paid.
Tax Paid=0.15×500,000=75,000\text{Tax Paid} = 0.15 \times 500,000 = 75,000 Naira.
Applying the 15%15\% flat rate to the annual income determines the exact monetary tax liability.

Anahtar Kavram

Proportional Tax System
Soru 314Soru

A consumer is willing to pay a maximum of ₦8,500 for a new textbook, but purchases it in the market for ₦5,800. What is the value of the consumer surplus in Naira?

Cevabı ve açıklamayı göster

Cevap: 2700

Cevap

The consumer surplus is ₦2,700.
Consumer surplus is calculated by deducting the actual price paid from the maximum price the consumer was willing to pay: ₦8,500 - ₦5,800 = ₦2,700.

Adım Adım Çözüm

1
Identify maximum willingness to pay and actual price
Maximum Willingness to Pay = ₦8,500; Market Price = ₦5,800
Consumer surplus is determined by comparing what the buyer is willing to pay against the market price.
2
Subtract the market price from the maximum willingness to pay
Consumer Surplus = ₦8,500 - ₦5,800 = ₦2,700
Consumer Surplus represents the financial gain or net benefit enjoyed by the consumer.

Anahtar Kavram

Consumer surplus is the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they actually pay.
Tahmini Süre:45s
Soru 315Soru

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?

Cevabı ve açıklamayı göster

Cevap: 20

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Law of Demand and Demand Function Evaluation
Tahmini Süre:1m 30s
Soru 316Soru

Apex Plc has an issued share capital of 800,000800,000 ordinary shares of 0.50\text{₦}0.50 each. The company announces a bonus issue of 11 new ordinary share for every 44 shares held. Following the completion of the bonus issue, the company makes a rights issue of 11 new ordinary share for every 55 existing shares held at an issue price of 1.20\text{₦}1.20 per share. What is the total value of the company's issued ordinary share capital in Naira (\text{₦}) after both the bonus issue and rights issue are fully executed?

Cevabı ve açıklamayı göster

Cevap: 600000

Cevap

The total value of the company's issued ordinary share capital after both the bonus and rights issues is ₦600,000.
To find the post-issue share capital, calculate the nominal value added by each transaction. Initial share capital is 800,000 shares × ₦0.50 = ₦400,000. A 1-for-4 bonus issue adds 200,000 shares (800,000 / 4), increasing nominal share capital by ₦100,000 (200,000 × ₦0.50) and bringing total shares to 1,000,000. A 1-for-5 rights issue on these 1,000,000 shares adds 200,000 shares (1,000,000 / 5). Only the nominal value of ₦0.50 per rights share is added to Share Capital (200,000 × ₦0.50 = ₦100,000), while the ₦0.70 excess per share is credited to Share Premium. Combining ₦400,000 + ₦100,000 + ₦100,000 yields the final issued ordinary share capital of ₦600,000.

Adım Adım Çözüm

1
Calculate the initial issued ordinary share capital
800,000 \text{ shares} \times \text{₦}0.50 = \text{₦}400,000
Issued share capital is recorded strictly at the nominal (par) value per share.
2
Determine the number of bonus shares issued and nominal value capitalized
\text{Bonus shares} = \frac{800,000}{4} = 200,000 \text{ shares}; \quad \text{Nominal value} = 200,000 \times \text{₦}0.50 = \text{₦}100,000
A 1-for-4 bonus issue issues 1 new share for every 4 existing shares held, using reserves to fund the nominal value without receiving cash.
3
Determine the total number of issued shares prior to the rights issue
800,000 + 200,000 = 1,000,000 \text{ shares}
The rights issue occurs after the bonus issue, so the ratio applies to all post-bonus shares.
4
Determine the number of rights shares issued and nominal value added to share capital
\text{Rights shares} = \frac{1,000,000}{5} = 200,000 \text{ shares}; \quad \text{Nominal capital added} = 200,000 \times \text{₦}0.50 = \text{₦}100,000
Only the nominal value (₦0.50 per share) increases the Issued Share Capital account. The excess issue price (₦1.20 - ₦0.50 = ₦0.70 per share) is credited to the Share Premium account.
5
Calculate the total final issued ordinary share capital
\text{₦}400,000 + \text{₦}100,000 + \text{₦}100,000 = \text{₦}600,000
Summing the initial capital with the nominal values added by the bonus and rights issues gives the final Share Capital balance.

Anahtar Kavram

Calculation of post-issue nominal share capital following sequential bonus and rights issues
Soru 317Soru

A firm operating in the short run employs labor as a variable input while keeping capital fixed. When the firm employs 44 workers, total output is 120120 units. When a 55 th worker is added, total output increases to 145145 units. What is the marginal product of the 55 th worker in units?

Cevabı ve açıklamayı göster

Cevap: 25

Cevap

The marginal product of the 5th worker is 25 units.
The marginal product of the 5th worker is calculated as the difference between the total output with 5 workers (145 units) and the total output with 4 workers (120 units), which equals 25 units.

Adım Adım Çözüm

1
Identify the Total Product (TPTP) corresponding to 44 and 55 workers.
TP4=120TP_4 = 120 units and TP5=145TP_5 = 145 units.
Marginal product measures the addition to total product resulting from employing one extra unit of the variable factor.
2
Calculate the change in total product (ΔTP\Delta TP) and change in labor (ΔL\Delta L).
ΔTP=145120=25\Delta TP = 145 - 120 = 25 units, ΔL=54=1\Delta L = 5 - 4 = 1 unit.
Evaluating the incremental changes provides the variables required for the marginal product formula.
3
Compute the Marginal Product (MP5MP_5).
MP5=ΔTPΔL=251=25MP_5 = \frac{\Delta TP}{\Delta L} = \frac{25}{1} = 25 units.
Dividing the increase in output by the increase in labor yields the marginal output of the 5th worker.

Anahtar Kavram

Marginal Product of Labor
Soru 318Soru

A textile manufacturing firm operating in Kano State increases all of its factor inputs by 50%50\% in order to expand its scale of production. Following this scale expansion, the firm's total weekly output of fabric rises from 20,000 meters20,000\text{ meters} to 35,000 meters35,000\text{ meters}. What is the percentage increase in the firm's total output?

Cevabı ve açıklamayı göster

Cevap: 75

Cevap

The percentage increase in total output is 75%75\%, indicating that output grew at a faster rate than inputs (75%>50%75\% > 50\%), which reflects increasing returns to scale.
The correct calculation evaluates the change in output relative to the initial output: 35,00020,00020,000×100%=75%\frac{35,000 - 20,000}{20,000} \times 100\% = 75\%. Since output increased by 75%75\% while inputs were scaled up by 50%50\%, the firm experienced increasing returns to scale (economies of scale).

Adım Adım Çözüm

1
Calculate the absolute increase in weekly output
35,000 meters20,000 meters=15,000 meters35,000\text{ meters} - 20,000\text{ meters} = 15,000\text{ meters}
To find the percentage change, the magnitude of output expansion must first be determined.
2
Calculate the percentage increase relative to the base output
(15,00020,000)×100%=75%\left(\frac{15,000}{20,000}\right) \times 100\% = 75\%
Percentage increase measures the proportionate change from the baseline level of output.

Anahtar Kavram

Calculating Percentage Change in Output and Identifying Returns to Scale
Tahmini Süre:1m 15s
Soru 319Soru

What is the volume of chlorine gas produced at s.t.p., in dm3\text{dm}^3, when 8.7 g8.7\text{ g} of manganese(IV) oxide (MnO2MnO_2) reacts completely with excess concentrated hydrochloric acid (HClHCl)? [Molar volume of gas at s.t.p. = 22.4 dm3mol122.4\text{ dm}^3\text{mol}^{-1}, Mn=55Mn = 55, O=16O = 16]

Cevabı ve açıklamayı göster

Cevap: 2.24

Cevap

The volume of chlorine gas produced at s.t.p. is 2.24 dm32.24\text{ dm}^3.
In the laboratory preparation of chlorine, manganese(IV) oxide acts as an oxidizing agent according to MnO2+4HClMnCl2+Cl2+2H2OMnO_2 + 4HCl \rightarrow MnCl_2 + Cl_2 + 2H_2O. Since 8.7 g8.7\text{ g} of MnO2MnO_2 represents 0.1 mol0.1\text{ mol}, exactly 0.1 mol0.1\text{ mol} of Cl2Cl_2 gas is produced. At s.t.p., 0.1 mol×22.4 dm3mol1=2.24 dm30.1\text{ mol} \times 22.4\text{ dm}^3\text{mol}^{-1} = 2.24\text{ dm}^3.

Adım Adım Çözüm

1
Write the balanced equation for the preparation of chlorine gas from manganese(IV) oxide and concentrated hydrochloric acid.
MnO2+4HClMnCl2+Cl2+2H2OMnO_2 + 4HCl \rightarrow MnCl_2 + Cl_2 + 2H_2O
Establishes the stoichiometric relationship between MnO2MnO_2 and Cl2Cl_2.
2
Calculate the molar mass of manganese(IV) oxide (MnO2MnO_2).
87 g mol187\text{ g mol}^{-1}
Required to convert the given mass of MnO2MnO_2 into moles.
3
Calculate the moles of MnO2MnO_2 supplied.
8.7 g87 g mol1=0.1 mol\frac{8.7\text{ g}}{87\text{ g mol}^{-1}} = 0.1\text{ mol}
Determines the exact amount of reactant taking part in the reaction.
4
Multiply moles of Cl2Cl_2 by the molar volume of a gas at s.t.p.
0.1 mol×22.4 dm3 mol1=2.24 dm30.1\text{ mol} \times 22.4\text{ dm}^3\text{ mol}^{-1} = 2.24\text{ dm}^3
One mole of any ideal gas occupies 22.4 dm322.4\text{ dm}^3 at s.t.p.

Anahtar Kavram

Laboratory preparation and stoichiometry of chlorine gas evolution.
Tahmini Süre:1m 30s
Soru 320Soru

In an international trade model involving two nations, Country X and Country Y, the labor-hours required to produce one unit of Machinery and one unit of Fertilizer are shown in the table below:

CountryMachinery (labor-hours)Fertilizer (labor-hours)
Country X123
Country Y84

Assuming both countries trade according to the principle of comparative advantage, what is the maximum number of units of Fertilizer that Country X is willing to exchange for 11 unit of Machinery?

Cevabı ve açıklamayı göster

Cevap: 4

Cevap

4 units of Fertilizer
In an input-based trade model, the domestic opportunity cost of producing 11 unit of Machinery in Country X is 12 labor-hours3 labor-hours=4 units of Fertilizer\frac{12 \text{ labor-hours}}{3 \text{ labor-hours}} = 4 \text{ units of Fertilizer}. For Country X to be willing to import Machinery rather than produce it domestically, the price of 11 unit of Machinery must not exceed its internal opportunity cost of 44 units of Fertilizer.

Adım Adım Çözüm

1
Calculate the opportunity cost of Machinery in Country X using input labor-hours.
Opportunity cost of 11 unit of Machinery in Country X = 123=4\frac{12}{3} = 4 units of Fertilizer.
In input-based models, opportunity cost of Good A is the ratio of labor-hours required for Good A to labor-hours required for Good B.
2
Calculate the opportunity cost of Machinery in Country Y using input labor-hours.
Opportunity cost of 11 unit of Machinery in Country Y = 84=2\frac{8}{4} = 2 units of Fertilizer.
Determines Country Y's domestic trade-off and minimum acceptable export price.
3
Determine the maximum willingness to pay for Country X.
Maximum acceptable exchange rate = 44 units of Fertilizer per unit of Machinery.
Country X will not pay more than its internal cost to produce Machinery domestically (44 units of Fertilizer).

Anahtar Kavram

Upper and lower bounds of mutually beneficial terms of trade derived from input-based comparative advantage.
Tahmini Süre:2m 0s
ÖncekiSayfa 16 / 77Sonraki
Tüm alıştırma soruları — JAMB UTME | Examkin