Tüm alıştırma soruları

1526 soru

Soru 1121Soru

Ade and Sons Enterprises operates two departments, Department X and Department Y, which occupy floor areas of 1,200 m21,200\text{ m}^2 and 800 m2800\text{ m}^2 respectively. If the total rent expense incurred by the business for the year is ₦250,000250,000, what is the amount of rent to be apportioned to Department X?

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Cevap: 150000

Cevap

Department X is allocated ₦150,000 of the total rent expense based on floor space occupied.
Rent expense is apportioned using floor space occupied. The total floor area is 1,200 m2+800 m2=2,000 m21,200\text{ m}^2 + 800\text{ m}^2 = 2,000\text{ m}^2. Department X occupies 1,200 m21,200\text{ m}^2, which represents 1,2002,000=35\frac{1,200}{2,000} = \frac{3}{5} of the total area. Multiplying 250,000×35\text{₦}250,000 \times \frac{3}{5} gives ₦150,000.

Adım Adım Çözüm

1
Calculate the total floor area used as the basis of apportionment.
Total floor area = 1,200 m2+800 m2=2,000 m21,200\text{ m}^2 + 800\text{ m}^2 = 2,000\text{ m}^2.
Rent is an indirect expense equitable to apportion on the basis of floor space occupied by each department.
2
Determine Department X's proportion of the total floor area.
Department X fraction = 1,2002,000=0.60\frac{1,200}{2,000} = 0.60 (or 60%60\%).
To find the fraction of rent attributable to Department X.
3
Multiply total rent by Department X's floor area proportion.
Apportioned rent for Department X = 250,000×0.60=150,000\text{₦}250,000 \times 0.60 = \text{₦}150,000.
Applying the calculated proportion to total rent expense gives Department X's share.

Anahtar Kavram

Apportionment of expenses based on floor area occupied
Soru 1122Soru

The following macroeconomic data (in billions of Naira) were released for the Republic of Veridia for a given fiscal year:

- Personal Consumption Expenditure (CC): 520 billion\text{₦}520\text{ billion}
- Gross Domestic Fixed Capital Formation: 180 billion\text{₦}180\text{ billion}
- Value of Physical Change in Stocks: 25 billion\text{₦}25\text{ billion}
- Government Final Consumption Expenditure (GG): 210 billion\text{₦}210\text{ billion}
- Exports (XX): 95 billion\text{₦}95\text{ billion}
- Imports (MM): 115 billion\text{₦}115\text{ billion}
- Net Factor Income from Abroad: 35 billion\text{₦}35\text{ billion}

Using the expenditure method of national income measurement, what is the value of the Gross National Product (GNP) at market prices in billions of Naira?

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Cevap: 950

Cevap

The Gross National Product (GNP) at market prices is 950 billion Naira.
The expenditure method aggregates expenditure components as follows: Personal Consumption (C=520C = 520), Gross Investment (I=180+25=205I = 180 + 25 = 205), Government Expenditure (G=210G = 210), and Net Exports (XM=95115=20X - M = 95 - 115 = -20). Summing these gives GDP = 520+205+21020=915 billion Naira520 + 205 + 210 - 20 = 915\text{ billion Naira}. Adding Net Factor Income from Abroad (35 billion Naira35\text{ billion Naira}) yields GNP = 915+35=950 billion Naira915 + 35 = 950\text{ billion Naira}.

Adım Adım Çözüm

1
Calculate total Gross Investment (I)
Gross Investment = 180 + 25 = 205 billion Naira
Total investment expenditure includes both fixed capital formation and the physical change in inventory/stocks.
2
Calculate Net Exports (X - M)
Net Exports = 95 - 115 = -20 billion Naira
Net exports represent expenditure by foreigners on domestic goods minus domestic expenditure on foreign goods.
3
Calculate Gross Domestic Product (GDP)
GDP = 520 + 205 + 210 + (-20) = 915 billion Naira
Under the expenditure approach, GDP = C + I + G + (X - M).
4
Calculate Gross National Product (GNP)
GNP = GDP + Net Factor Income from Abroad = 915 + 35 = 950 billion Naira
GNP accounts for income earned by domestic factors of production abroad minus income earned by foreign factors of production domestically.

Anahtar Kavram

Expenditure Method of Measuring National Income and GNP Calculation
Tahmini Süre:1m 30s
Soru 1123Soru

In a regional commodity market, the monthly demand function for cocoa beans is given by Qd=2504PQ_d = 250 - 4P and the supply function is given by Qs=50+6PQ_s = -50 + 6P, where PP represents the price per bag in thousands of Naira (₦), QdQ_d is the quantity demanded in bags, and QsQ_s is the quantity supplied in bags. What is the equilibrium quantity of cocoa beans traded in this market?

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Cevap: 130

Cevap

The equilibrium quantity of cocoa beans is 130 bags.
Market equilibrium occurs at the price where quantity demanded equals quantity supplied (Qd=QsQ_d = Q_s). Setting 2504P=50+6P250 - 4P = -50 + 6P yields 10P=30010P = 300, so the equilibrium price P=30P^* = 30. Substituting P=30P^* = 30 into the demand function gives Q=2504(30)=130Q^* = 250 - 4(30) = 130 bags.

Adım Adım Çözüm

1
Equate the demand function and supply function
2504P=50+6P250 - 4P = -50 + 6P
Market equilibrium occurs at the price level where quantity demanded equals quantity supplied.
2
Solve for equilibrium price (PP^*)
P=30P^* = 30
Rearranging 300=10P300 = 10P yields the equilibrium price of ₦30 thousand per bag.
3
Calculate equilibrium quantity (QQ^*)
Q=130Q^* = 130
Substituting P=30P = 30 into Qd=2504(30)Q_d = 250 - 4(30) gives 130 bags.

Anahtar Kavram

Market Equilibrium Price and Quantity
Soru 1124Soru

The reported mean monthly wage of 5050 employees in a manufacturing firm was recorded as 4242 (in thousands of Naira, ₦’000\text{₦'000}). During an internal audit, two transcription errors were discovered: a wage of 64,000\text{₦}64,000 was incorrectly recorded as 46,000\text{₦}46,000, and a wage of 28,000\text{₦}28,000 was incorrectly recorded as 82,000\text{₦}82,000. Additionally, 1010 new workers were recruited at an average monthly wage of 57,000\text{₦}57,000 (recorded as 5757 in ₦’000\text{₦'000}). What is the corrected mean monthly wage (in ₦’000\text{₦'000}) for the entire workforce of 6060 employees?

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Cevap: 43.9

Cevap

The corrected mean monthly wage for the entire workforce of 60 employees is 43.9 in thousands of Naira (₦'000), which represents ₦43,900.
The initial reported wage sum of ₦2,100,000 (21002100 in ₦’000\text{₦'000}) is adjusted by adding 18,000\text{₦}18,000 for the under-recorded entry and subtracting 54,000\text{₦}54,000 for the over-recorded entry, giving a corrected baseline sum of 2,064,000\text{₦}2,064,000 (20642064 in ₦’000\text{₦'000}). Adding the 570,000\text{₦}570,000 (570570 in ₦’000\text{₦'000}) earned by the 1010 new recruits gives a total aggregate wage sum of 2,634,000\text{₦}2,634,000 (26342634 in ₦’000\text{₦'000}) across 6060 total employees. Dividing 26342634 by 6060 gives an exact corrected mean of 43.943.9 in ₦’000\text{₦'000} (or 43,900\text{₦}43,900).

Adım Adım Çözüm

1
Find initial reported total wage expenditure
50 × 42 = 2100 (in ₦'000)
Total value equals sample size multiplied by reported arithmetic mean.
2
Calculate net error adjustment
(64 - 46) + (28 - 82) = +18 - 54 = -36 (in ₦'000)
Under-recorded item adds +18, while over-recorded item subtracts -54.
3
Adjust initial total wage expenditure
2100 - 36 = 2064 (in ₦'000)
Correcting errors adjusts the sum of the original 50 workers' wages.
4
Calculate wage expenditure of new workers
10 × 57 = 570 (in ₦'000)
Total earnings of additional workers equal number of recruits times their mean wage.
5
Compute total combined expenditure and workforce size
Total sum = 2064 + 570 = 2634 (in ₦'000); Total N = 50 + 10 = 60
Combine corrected original wage sum with new recruitment total.
6
Calculate final corrected combined mean
2634 / 60 = 43.9 (in ₦'000)
Divide aggregate wage sum by aggregate total number of employees.

Anahtar Kavram

Corrected Mean and Weighted Combined Mean
Soru 1125Soru

In a commercial sector of an economy, the total stock of money in circulation (MM) is N12,000,000\text{N}12,000,000 and the velocity of circulation (VV) is 55. If the total physical volume of transactions (TT) is 1,500,0001,500,000 units, what is the general price level (PP) according to Fisher's Quantity Theory of Money?

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Cevap: 40

Cevap

The general price level (PP) is N40\text{N}40.
According to Irving Fisher's Quantity Theory of Money equation (MV=PTMV = PT), the general price level PP is determined by dividing total monetary expenditures (M×V=12,000,000×5=60,000,000M \times V = 12,000,000 \times 5 = 60,000,000) by the physical volume of transactions (T=1,500,000T = 1,500,000). This calculation gives P=40P = 40.

Adım Adım Çözüm

1
State Fisher's Quantity Theory of Money equation
MV=PTMV = PT
Fisher's identity equates total money expenditure (MVMV) with the total value of goods and services exchanged (PTPT).
2
Rearrange the identity to isolate the general price level (PP)
P=MVTP = \frac{MV}{T}
This provides the formula needed to calculate PP directly from MM, VV, and TT.
3
Substitute the values and compute the result
P=12,000,000×51,500,000=40P = \frac{12,000,000 \times 5}{1,500,000} = 40
Multiplying money supply by velocity gives total turnover of N60,000,000\text{N}60,000,000, which divided by transaction volume 1,500,0001,500,000 yields 4040.

Anahtar Kavram

Fisher's Quantity Theory of Money Equation (MV = PT)
Soru 1126Soru

Country X recorded the following international transaction figures for a given financial year:

Transaction ItemValue (\$ million)
Exports of goods650
Imports of goods820
Net receipts from services and invisibles110
Net unrequited transfers-30
Net capital account inflows80

Calculate the magnitude of Country X's overall balance of payments deficit in millions of US dollars.

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Cevap: 10

Cevap

The magnitude of the overall balance of payments deficit is 10 million dollars.
The overall balance of payments position represents the sum of the current account balance and the capital account balance. The current account balance is calculated as the merchandise trade balance (650million650 million - 820 million = -170million)plusnetinvisibles(170 million) plus net invisibles ( 110 million) plus net unrequited transfers (-30million),giving30 million), giving - 90 million. Adding the net capital account inflow of 80millionyieldsanoverallbalanceof80 million yields an overall balance of - 10 million. Therefore, the magnitude of the balance of payments deficit is 10 million dollars.

Adım Adım Çözüm

1
Calculate Visible Balance of Trade
-$170 million
Visible balance measures net merchandise trade (Exports of goods - Imports of goods).
2
Calculate Current Account Balance
-$90 million
Current account combines visible trade, net invisible service receipts, and net unrequited transfers.
3
Calculate Overall Balance of Payments
-$10 million
Overall balance of payments is the algebraic sum of the current account balance and the capital account balance.

Anahtar Kavram

Overall Balance of Payments Disequilibrium Calculation
Soru 1127Soru

The mean daily production cost of five small poultry farms in Ogun State is 45,000\text{₦}45,000. If the daily production costs of four of the farms are 38,000\text{₦}38,000, 42,000\text{₦}42,000, 46,000\text{₦}46,000, and 50,000\text{₦}50,000, what is the daily production cost (in \text{₦}) of the fifth farm?

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Cevap: 49000

Cevap

The daily production cost of the fifth farm is 49,000\text{₦}49,000.
The arithmetic mean formula is Xˉ=XN\bar{X} = \frac{\sum X}{N}. For 5 farms with a mean of 45,000\text{₦}45,000, the total combined cost is 5×45,000=225,0005 \times \text{₦}45,000 = \text{₦}225,000. Summing the four given farm costs yields 38,000+42,000+46,000+50,000=176,000\text{₦}38,000 + \text{₦}42,000 + \text{₦}46,000 + \text{₦}50,000 = \text{₦}176,000. The cost for the fifth farm is 225,000176,000=49,000\text{₦}225,000 - \text{₦}176,000 = \text{₦}49,000.

Adım Adım Çözüm

1
Calculate total production cost of all 5 farms
Total cost = 225,000\text{₦}225,000
Using the arithmetic mean formula Xˉ=XN\bar{X} = \frac{\sum X}{N}, the total sum X=N×Xˉ=5×45,000=225,000\sum X = N \times \bar{X} = 5 \times 45,000 = 225,000.
2
Sum the daily production costs of the four known farms
Known total = 176,000\text{₦}176,000
38,000+42,000+46,000+50,000=176,00038,000 + 42,000 + 46,000 + 50,000 = 176,000.
3
Determine the unknown fifth farm cost by subtraction
Fifth farm cost = 49,000\text{₦}49,000
Subtracting the sum of the four known values from the overall total: 225,000176,000=49,000225,000 - 176,000 = 49,000.

Anahtar Kavram

Calculating a missing value using the total sum property of the arithmetic mean
Tahmini Süre:1m 15s
Soru 1128Soru

In Year 1, Country Y recorded a Nominal GDP of 3.2 trillion\text{₦}3.2\text{ trillion}. By Year 2, its Nominal GDP increased by 25%25\%, while its GDP deflator stood at 125125 (with base year price index = 100100). If the Real Per Capita Income of Country Y in Year 2 was 64,000\text{₦}64,000, what was the total population of Country Y in Year 2 (in millions)?

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Cevap: 50

Cevap

The population of Country Y in Year 2 was 50 million.
To find the population, Real GDP must first be calculated by adjusting Year 2 Nominal GDP (4.0 trillion\text{₦}4.0\text{ trillion}) for price inflation using the GDP deflator (125125), giving a Real GDP of 3.2 trillion\text{₦}3.2\text{ trillion}. Dividing this Real GDP by the Real Per Capita Income of 64,000\text{₦}64,000 yields a population of 50 million50\text{ million}.

Adım Adım Çözüm

1
Determine the Nominal GDP for Year 2 after the 25% growth.
Nominal GDP in Year 2 is 4.0 trillion\text{₦}4.0\text{ trillion}.
A 25%25\% increase on 3.2 trillion\text{₦}3.2\text{ trillion} equals 3.2 trillion×1.25=4.0 trillion\text{₦}3.2\text{ trillion} \times 1.25 = \text{₦}4.0\text{ trillion}.
2
Deflate Year 2 Nominal GDP to find Year 2 Real GDP.
Real GDP in Year 2 is 3.2 trillion\text{₦}3.2\text{ trillion}.
Real GDP adjusts for inflation using the formula Real GDP=Nominal GDPGDP Deflator×100\text{Real GDP} = \frac{\text{Nominal GDP}}{\text{GDP Deflator}} \times 100.
3
Divide Real GDP by Real Per Capita Income to solve for total population.
Population is 50 million50\text{ million}.
Since Real Per Capita Income=Real GDPPopulation\text{Real Per Capita Income} = \frac{\text{Real GDP}}{\text{Population}}, rearranging gives Population=Real GDPReal Per Capita Income\text{Population} = \frac{\text{Real GDP}}{\text{Real Per Capita Income}}.

Anahtar Kavram

Relationship between Nominal GDP growth, GDP Deflator, Real GDP, and Real Per Capita Income
Soru 1129Soru

A consumer's inverse demand function for bags of fertilizer in an agricultural zone is given by the equation P=20010QP = 200 - 10Q, where PP is the price per bag in Naira (\text{₦}) and QQ is the quantity of bags demanded. If the prevailing market price of fertilizer is 80\text{₦}80 per bag, what is the consumer surplus in Naira (\text{₦})?

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Cevap: 720

Cevap

The consumer surplus derived from purchasing fertilizer at the market price is ₦720.
Consumer surplus is calculated as the area of the region under the linear demand curve and above the market price line. Given P=20010QP = 200 - 10Q, substituting the market price P=80P = 80 yields Q=12Q = 12. The maximum price PmaxP_{max} at Q=0Q = 0 is 200₦200. Using the area formula 12×base×height=12×12×(20080)=720\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 12 \times (200 - 80) = ₦720.

Adım Adım Çözüm

1
Determine quantity demanded (QQ) at the prevailing market price (P=80P = 80)
Q=12Q = 12 units
Setting P=80P = 80 in the demand equation 80=20010Q80 = 200 - 10Q yields 10Q=12010Q = 120, giving Q=12Q = 12.
2
Find maximum willingness to pay (PmaxP_{max}) when quantity demanded is zero (Q=0Q = 0)
Pmax=200P_{max} = ₦200
The vertical intercept of the linear demand curve represents the maximum price the consumer would consider paying.
3
Calculate the height of the consumer surplus triangle (PmaxPmarketP_{max} - P_{market})
20080=120200 - 80 = ₦120
This measures the net benefit per unit between maximum willingness to pay and the market price.
4
Calculate the total consumer surplus using the triangular area formula CS=12×Base×HeightCS = \frac{1}{2} \times \text{Base} \times \text{Height}
CS=12×12×120=720CS = \frac{1}{2} \times 12 \times 120 = ₦720
For a linear demand curve, consumer surplus is visually and mathematically represented by the triangular area below the demand curve and above the market price.

Anahtar Kavram

Calculation of Consumer Surplus using Linear Demand Equations
Soru 1130Soru

In an economy, the consumption function is given as C=50 billion+0.8YdC = ₦50\text{ billion} + 0.8 Y_d, where YdY_d represents disposable income. The government levies a flat proportional income tax rate of 25%25\% (t=0.25t = 0.25) on total national income (YY). If the economy is currently experiencing a recessionary output gap of 200 billion₦200\text{ billion}, calculate the required increase in government expenditure (ΔG\Delta G), in billions of Naira, to achieve full-employment equilibrium.

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Cevap: 80

Cevap

The required increase in government expenditure is 80 billion Naira.
With a marginal propensity to consume of 0.80.8 and a proportional tax rate of 0.250.25, the effective consumption propensity relative to total income is 0.8×(10.25)=0.60.8 \times (1 - 0.25) = 0.6. The spending multiplier is Kg=110.6=2.5K_g = \frac{1}{1 - 0.6} = 2.5. Closing a 200 billion₦200\text{ billion} recessionary gap requires an initial government spending increase of 200 billion2.5=80 billion\frac{₦200\text{ billion}}{2.5} = ₦80\text{ billion}.

Adım Adım Çözüm

1
Determine the effective marginal propensity to consume out of total income (MPCYMPC_Y)
MPCY=0.8×(10.25)=0.6MPC_Y = 0.8 \times (1 - 0.25) = 0.6
Taxation reduces disposable income, so out of every additional unit of national income, only (1t)(1 - t) remains available for consumption.
2
Calculate the fiscal spending multiplier (KgK_g)
Kg=110.6=2.5K_g = \frac{1}{1 - 0.6} = 2.5
The expenditure multiplier accounts for the automatic leakage caused by proportional income taxes.
3
Calculate the necessary government spending injection (ΔG\Delta G)
ΔG=2002.5=80 billion Naira\Delta G = \frac{200}{2.5} = 80\text{ billion Naira}
Dividing the target increase in national output by the multiplier yields the required initial discretionary fiscal boost.

Anahtar Kavram

Fiscal policy expenditure multiplier with proportional taxation
Soru 1131Soru

In 2024, Country Alpha recorded a Nominal Gross Domestic Product (GDP) of 1.5 trillion\text{₦}1.5\text{ trillion} with a GDP deflator of 120120. If the total population of Country Alpha in 2024 was 25 million25\text{ million}, what was the Real Per Capita Income of the country in Naira?

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Cevap: 50000

Cevap

The Real Per Capita Income of Country Alpha for the year 2024 was 50,000 Naira.
To find the Real Per Capita Income, we first deflate the Nominal GDP to arrive at Real GDP: Real GDP=Nominal GDPGDP Deflator×100=1.5 trillion120×100=1.25 trillion\text{Real GDP} = \frac{\text{Nominal GDP}}{\text{GDP Deflator}} \times 100 = \frac{\text{₦}1.5\text{ trillion}}{120} \times 100 = \text{₦}1.25\text{ trillion}. Next, divide Real GDP by the total population of 25 million25\text{ million}: 1,250,000,000,00025,000,000=50,000 Naira\frac{\text{₦}1,250,000,000,000}{25,000,000} = 50,000\text{ Naira}.

Adım Adım Çözüm

1
Determine the Real GDP of Country Alpha by adjusting Nominal GDP for inflation using the GDP Deflator.
Real GDP = ₦1,250,000,000,000 (or ₦1.25 trillion).
Nominal GDP includes price changes, so dividing by the GDP deflator (120) and multiplying by 100 yields the constant-price output volume.
2
Divide Real GDP by total population to find Real Per Capita Income.
Real Per Capita Income = 50,000 Naira.
Per capita metrics measure the average real income per individual in the population.

Anahtar Kavram

Real Per Capita Income calculation from Nominal GDP, GDP Deflator, and Population
Tahmini Süre:1m 30s
Soru 1132Soru

In a foreign exchange market operating under a flexible exchange rate system, the daily quantity demanded of Euros (EUR\text{EUR}) in millions is given by Qd=5000.5EQ_d = 500 - 0.5E, while the daily quantity supplied of Euros in millions is given by Qs=100+0.3EQ_s = 100 + 0.3E, where EE represents the exchange rate of local currency (LCU\text{LCU}) per Euro. What is the equilibrium exchange rate (EE) in local currency per Euro?

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Cevap: 500

Cevap

The equilibrium exchange rate is 500500 local currency units per Euro.
Under a floating exchange rate mechanism, the equilibrium exchange rate is determined at the point where the demand for foreign exchange equals the supply of foreign exchange (Qd=QsQ_d = Q_s). Setting 5000.5E=100+0.3E500 - 0.5E = 100 + 0.3E yields 400=0.8E400 = 0.8E, which calculates to E=500E = 500 local currency units per Euro.

Adım Adım Çözüm

1
Equate the foreign exchange demand and supply functions to find market equilibrium.
5000.5E=100+0.3E500 - 0.5E = 100 + 0.3E
Equilibrium in a floating foreign exchange rate system is established where the market demand for foreign currency equals its market supply.
2
Rearrange the equation to gather constant terms on one side and exchange rate terms on the other side.
400=0.8E400 = 0.8E
Subtract 100100 from both sides and add 0.5E0.5E to both sides.
3
Divide the constant term by the combined coefficient of EE to solve for the exchange rate.
E=500E = 500
Dividing 400400 by 0.80.8 yields the equilibrium exchange rate of 500500 local currency units per Euro.

Anahtar Kavram

Determination of equilibrium exchange rate in a flexible foreign exchange market
Soru 1133Soru

A competitive market for yam tubers consists of 40 identical buyers and 10 identical sellers. The demand function for each individual buyer is given by qd=150.5Pq_d = 15 - 0.5P, and the supply function for each individual seller is given by qs=4+2Pq_s = -4 + 2P, where PP represents the price per tuber in Naira (N\text{N}). What is the market equilibrium quantity of yam tubers (in units)?

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Cevap: 280

Cevap

The market equilibrium quantity is 280 units.
To find the market equilibrium quantity, first aggregate individual demand and supply: total market demand is Qd=40(150.5P)=60020PQ_d = 40(15 - 0.5P) = 600 - 20P and total market supply is Qs=10(4+2P)=40+20PQ_s = 10(-4 + 2P) = -40 + 20P. Equating Qd=QsQ_d = Q_s gives 60020P=40+20P600 - 20P = -40 + 20P, which simplifies to 640=40P640 = 40P and yields an equilibrium price P=16P^* = 16. Substituting P=16P^* = 16 into the market demand equation yields Q=60020(16)=280Q^* = 600 - 20(16) = 280 units.

Adım Adım Çözüm

1
Calculate market demand function (QdQ_d)
Qd=40×(150.5P)=60020PQ_d = 40 \times (15 - 0.5P) = 600 - 20P
Market demand is obtained by multiplying the individual demand function by the total number of buyers.
2
Calculate market supply function (QsQ_s)
Qs=10×(4+2P)=40+20PQ_s = 10 \times (-4 + 2P) = -40 + 20P
Market supply is obtained by multiplying the individual supply function by the total number of sellers.
3
Set market demand equal to market supply to solve for equilibrium price (PP^*)
60020P=40+20P    640=40P    P=16600 - 20P = -40 + 20P \implies 640 = 40P \implies P^* = 16
Market equilibrium occurs at the price level where quantity demanded equals quantity supplied.
4
Substitute equilibrium price into the market demand function to find equilibrium quantity (QQ^*)
Q=60020(16)=280Q^* = 600 - 20(16) = 280 units
Evaluating market demand at the equilibrium price determines the total equilibrium quantity traded.

Anahtar Kavram

Market Equilibrium Price and Quantity via Aggregated Demand and Supply Functions
Soru 1134Soru

A telecommunications equipment assembly firm expands its operational scale in the long run by increasing all of its production inputs by 50%50\%. Consequently, its weekly output increases from 1,2001,200 units to 1,9201,920 units. What is the percentage increase in total output achieved by the firm?

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Cevap: 60

Cevap

The percentage increase in total output achieved by the firm is 60%.
The firm expanded output from 1,200 units to 1,920 units, an absolute gain of 720 units. Dividing 720 by the original output of 1,200 yields 0.60, or 60%. Because the percentage increase in output (60%) exceeds the percentage increase in input scale (50%), the firm is experiencing increasing returns to scale.

Adım Adım Çözüm

1
Determine the change in output volume
Change in output = 1,920 - 1,200 = 720 units
To calculate percentage growth, find the absolute difference between expanded output and initial output.
2
Calculate the percentage increase relative to initial output
(720 / 1,200) * 100 = 60%
Percentage change measures proportional growth relative to the original baseline output.

Anahtar Kavram

Long-Run Production and Scale Growth Calculations
Soru 1135Soru

In Year 1, Country Z recorded a Nominal GDP of 600 billion\text{₦}600\text{ billion} with a base price index of 100100. In Year 2, the Nominal GDP rose to 1,080 billion\text{₦}1,080\text{ billion} and the total population reached 36 million36\text{ million}. If the Real Per Capita Income in Year 2 was calculated as 25,000\text{₦}25,000, what was the GDP deflator for Year 2?

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Cevap: 120

Cevap

120
To find the GDP Deflator in Year 2, first derive the total Real GDP by multiplying the Real Per Capita Income by the total population: 25,000×36,000,000=900 billion\text{₦}25,000 \times 36,000,000 = \text{₦}900\text{ billion}. Then apply the GDP deflator formula GDP Deflator=(Nominal GDP/Real GDP)×100\text{GDP Deflator} = (\text{Nominal GDP} / \text{Real GDP}) \times 100. Substituting the values yields (1,080/900)×100=120(1,080 / 900) \times 100 = 120.

Adım Adım Çözüm

1
Calculate the total Real GDP for Year 2 using the Real Per Capita Income and population.
Real GDP = ₦25,000 × 36,000,000 = ₦900 billion
Real Per Capita Income represents total Real GDP divided by the total population.
2
Rearrange the relationship between Nominal GDP, Real GDP, and GDP Deflator to express the GDP Deflator.
GDP Deflator = (Nominal GDP / Real GDP) × 100
Real GDP adjusts Nominal GDP for price level change via the GDP Deflator.
3
Substitute Nominal GDP (₦1,080 billion) and Real GDP (₦900 billion) to calculate the deflator value.
GDP Deflator = (1,080 / 900) × 100 = 120
This measures the price level change in Year 2 relative to the base year index of 100.

Anahtar Kavram

Relationship between Nominal GDP, Real GDP, GDP Deflator, and Real Per Capita Income
Soru 1136Soru

In a national cement manufacturing industry, seven operating firms account for the entire market sales. Their annual revenue figures (in millions of Naira) are: Firm A: N350\text{N}350, Firm B: N250\text{N}250, Firm C: N150\text{N}150, Firm D: N100\text{N}100, Firm E: N80\text{N}80, Firm F: N40\text{N}40, and Firm G: N30\text{N}30. What is the four-firm concentration ratio (CR4\text{CR}_4) for this industry, expressed as a percentage?

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Cevap: 85

Cevap

The four-firm concentration ratio (CR4) for the industry is 85%.
The four-firm concentration ratio (CR4) measures market dominance by taking the sum of market shares (or revenues) of the four largest firms and expressing it as a percentage of total industry sales. Here, total revenue is N1,000 million\text{N}1,000\text{ million} and the top four firms contribute N850 million\text{N}850\text{ million}, yielding 85%85\%, which indicates a highly concentrated oligopolistic market.

Adım Adım Çözüm

1
Calculate the total industry revenue
Total Industry Revenue = N1,000 million
The total market size is needed as the denominator to determine the market share proportion.
2
Identify and sum the revenues of the four largest firms
Combined Revenue of Top 4 = N850 million
The four-firm concentration ratio measures the percentage of total industry output controlled by the four largest firms.
3
Calculate the CR4 percentage
CR4 = 85%
CR4 is calculated as (Combined Top 4 Revenue / Total Industry Revenue) * 100.

Anahtar Kavram

Four-Firm Concentration Ratio (CR4)
Tahmini Süre:1m 30s
Soru 1137Soru

A firm sells 88 units of a commodity at a price of 50\text{₦}50 per unit. In order to increase its sales to 99 units, it reduces the price to 46\text{₦}46 per unit for all items sold. What is the marginal revenue, in Naira (\text{₦}), generated from selling the 9th unit?

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Cevap: 14

Cevap

The marginal revenue generated from selling the 9th unit is 14 Naira.
Total revenue at 8 units is 8×50=4008 \times 50 = 400 Naira. Total revenue at 9 units is 9×46=4149 \times 46 = 414 Naira. Marginal revenue is the addition to total revenue from selling the 9th unit, which is 414400=14414 - 400 = 14 Naira.

Adım Adım Çözüm

1
Calculate initial total revenue.
Total Revenue for 8 units is 8×50=4008 \times 50 = 400 Naira.
Total revenue is computed as price multiplied by quantity (TR=P×QTR = P \times Q).
2
Calculate new total revenue after output expansion.
Total Revenue for 9 units is 9×46=4149 \times 46 = 414 Naira.
The lower price applies to all units sold.
3
Calculate marginal revenue of the additional unit.
Marginal Revenue = 414400=14414 - 400 = 14 Naira.
Marginal revenue is the change in total revenue resulting from selling one extra unit (MR=ΔTRΔQMR = \frac{\Delta TR}{\Delta Q}).

Anahtar Kavram

Marginal Revenue Calculation under Imperfect Competition
Soru 1138Soru

An economy is experiencing inflationary pressure with a current equilibrium national income (YY) of 850 billion₦850\text{ billion} and a full-employment potential national income (YfY_f) of 730 billion₦730\text{ billion}. If the economy's Marginal Propensity to Save (MPSMPS) is 0.20.2, calculate the required change in government expenditure (ΔG\Delta G), in billions of Naira, needed to achieve economic stabilization.

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Cevap: -24

Cevap

Government expenditure must be changed by -24 billion Naira (a reduction of 24 billion Naira).
To close an inflationary gap of 120 billion Naira when the Marginal Propensity to Save is 0.2, the spending multiplier is calculated as 1 / 0.2 = 5. Dividing the aggregate demand reduction of -120 billion Naira by the multiplier of 5 gives a required change in government expenditure of -24 billion Naira.

Adım Adım Çözüm

1
Determine the output gap to be closed
\Delta Y = 730 - 850 = -120\text{ billion Naira}
To eliminate the inflationary gap and stabilize the economy at full employment (YfY_f), aggregate national output must decrease by 120 billion Naira.
2
Calculate the government expenditure multiplier (KgK_g)
K_g = \frac{1}{MPS} = \frac{1}{0.2} = 5
The expenditure multiplier measures the magnified impact of autonomous government spending on national income, calculated as the reciprocal of the Marginal Propensity to Save.
3
Calculate the required change in government spending (\Delta G)
\Delta G = \frac{\Delta Y}{K_g} = \frac{-120}{5} = -24\text{ billion Naira}
Dividing the desired change in aggregate output by the spending multiplier determines the contraction in government spending needed for stabilization.

Anahtar Kavram

Government Expenditure Multiplier and Inflationary Gap Stabilization
Soru 1139Soru

Kalu commenced business with the following assets and liabilities to be recorded in his opening journal entry: Office Equipment 600,000\text{₦}600,000, Furniture 250,000\text{₦}250,000, Trade Debtors 150,000\text{₦}150,000, Cash in Hand 100,000\text{₦}100,000, and Trade Creditors 200,000\text{₦}200,000. What is the value of Capital in naira to be credited in the opening entry?

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Cevap: 900000

Cevap

The initial capital amount to be credited in the opening journal entry is 900,000\text{₦}900,000.
The correct answer of 900,000\text{₦}900,000 is determined by applying the accounting equation Capital=AssetsLiabilities\text{Capital} = \text{Assets} - \text{Liabilities}. Summing the assets gives 1,100,000\text{₦}1,100,000 (Office Equipment 600,000\text{₦}600,000 + Furniture 250,000\text{₦}250,000 + Debtors 150,000\text{₦}150,000 + Cash 100,000\text{₦}100,000). Subtracting the liability of Trade Creditors (200,000\text{₦}200,000) yields the opening capital balance of 900,000\text{₦}900,000.

Adım Adım Çözüm

1
Sum all asset balances given in the scenario
Total Assets = 600,000+250,000+150,000+100,000=1,100,000\text{₦}600,000 + \text{₦}250,000 + \text{₦}150,000 + \text{₦}100,000 = \text{₦}1,100,000
Opening entries require debiting all individual asset accounts to set up the starting books.
2
Identify all liability balances given
Total Liabilities = 200,000\text{₦}200,000 (Trade Creditors)
Liabilities represent claims against the business assets and are credited in the opening journal entry.
3
Deduct total liabilities from total assets to determine owner's capital
Capital = 1,100,000200,000=900,000\text{₦}1,100,000 - \text{₦}200,000 = \text{₦}900,000
According to the fundamental accounting equation, Assets = Capital + Liabilities, so Capital = Assets - Liabilities.

Anahtar Kavram

Calculation of Opening Capital in the General Journal using the Accounting Equation
Soru 1140Soru

On 1 January 2025, a business recorded commission income accrued of 14,500₦14,500 and commission income received in advance of 8,000₦8,000. During the year ended 31 December 2025, total cash received and banked for commission was 165,000₦165,000. At 31 December 2025, commission income accrued stood at 19,000₦19,000, while commission income received in advance was 11,500₦11,500. What is the total amount of commission income to be credited to the Profit and Loss Account for the year ended 31 December 2025?

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Cevap: 166000

Cevap

The total commission income to be credited to the Profit and Loss Account for the year ended 31 December 2025 is ₦166,000.
In accordance with the accrual concept, the Profit and Loss Account must be credited only with income earned during the financial period. Calculating the net income for 2025 requires adding opening prepaid income (₦8,000) and closing accrued income (₦19,000) to cash received (₦165,000), while deducting opening accrued income (₦14,500) and closing prepaid income (₦11,500). This gives a total credit of ₦166,000.

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1
Determine the cash received during the accounting year
Cash received = ₦165,000
This is the initial cash flow figure recorded in the cash book during the period.
2
Adjust for opening accruals and prepayments at 1 January 2025
Adjusted cash figure = ₦165,000 + ₦8,000 - ₦14,500 = ₦158,500
Opening prepaid income relates to the current year and must be added. Opening accrued income relates to the prior year and was collected in the current year, so it must be subtracted.
3
Adjust for closing accruals and prepayments at 31 December 2025
Final Profit & Loss credit = ₦158,500 + ₦19,000 - ₦11,500 = ₦166,000
Closing accrued income was earned in the current period and must be added. Closing prepaid income relates to the next period and must be subtracted.

Anahtar Kavram

Accrual basis of accounting for income recognition
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