Tüm alıştırma soruları

1526 soru

Soru 1081Soru

A manufacturing firm in Ibadan operates along its Production Possibility Curve (PPC) producing two goods: garments and shoes. Currently, when producing 150150 pairs of shoes, the firm can produce 400400 units of garments. To meet increased market demand for footwear, the firm reallocates its resources to produce 250250 pairs of shoes, causing garment output to fall to 150150 units.

Calculate the opportunity cost of producing one additional pair of shoes in terms of garments foregone.

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Cevap: 2.5

Cevap

The opportunity cost of producing one additional pair of shoes is 2.52.5 garments.
Opportunity cost along a Production Possibility Curve measures the amount of one commodity that must be sacrificed to obtain an extra unit of another. Producing 100100 additional pairs of shoes requires giving up 250250 units of garments. Therefore, the opportunity cost per additional pair of shoes is 250100=2.5\frac{250}{100} = 2.5 garments.

Adım Adım Çözüm

1
Find the change in the production of shoes
ΔShoes=250150=100\Delta \text{Shoes} = 250 - 150 = 100 pairs of shoes
To determine the gain in shoe output.
2
Find the quantity of garments sacrificed
ΔGarments=400150=250\Delta \text{Garments} = 400 - 150 = 250 units of garments
To determine the total sacrifice in garment production.
3
Divide the sacrificed garments by the additional shoes gained
\frac{250}{100} = 2.5$ garments per pair of shoes
Opportunity cost per unit of shoes is the ratio of foregone garments to gained shoes.

Anahtar Kavram

Opportunity Cost on a Production Possibility Curve (PPC)
Soru 1082Soru

A manufacturing enterprise operating in the short run incurs a Total Fixed Cost (TFC\text{TFC}) of 250\text{₦}250. Its Average Variable Cost (AVC\text{AVC}) function is expressed as AVC=3Q224Q+75\text{AVC} = 3Q^2 - 24Q + 75, where QQ represents the output level in units. What is the firm's Average Total Cost (ATC\text{ATC}) in Naira (\text{₦}) at the output level where Average Variable Cost (AVC\text{AVC}) reaches its minimum?

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Cevap: 89.5

Cevap

The firm's Average Total Cost (ATC) at the output level where Average Variable Cost (AVC) is minimized is 89.5 Naira.
To find the Average Total Cost at the output level of minimum Average Variable Cost, first minimize AVC by taking its derivative with respect to output Q and setting it to zero: 6Q - 24 = 0, yielding Q = 4 units. Evaluating AVC at Q = 4 gives AVC = 27 Naira. Next, compute Average Fixed Cost (AFC) at Q = 4 using AFC = TFC / Q = 250 / 4 = 62.5 Naira. Adding AFC and AVC together gives ATC = 62.5 + 27 = 89.5 Naira.

Adım Adım Çözüm

1
Determine the output level Q that minimizes Average Variable Cost (AVC).
Q = 4 units
Setting the derivative of the AVC function with respect to Q equal to zero (6Q - 24 = 0) yields Q = 4.
2
Compute Average Variable Cost (AVC) at Q = 4.
AVC = 27 Naira
Substituting Q = 4 into AVC = 3(4)^2 - 24(4) + 75 gives 48 - 96 + 75 = 27.
3
Compute Average Fixed Cost (AFC) at Q = 4.
AFC = 62.5 Naira
AFC is defined as TFC / Q, so 250 / 4 = 62.5.
4
Calculate Average Total Cost (ATC) at Q = 4.
ATC = 89.5 Naira
ATC is the sum of AFC and AVC (62.5 + 27 = 89.5).

Anahtar Kavram

Short-run average cost relationships and cost minimization
Soru 1083Soru

In an island economy, the physical volume of transactions (TT) during a fiscal year is 40,00040,000 units and the average price level (PP) is 1515 units of currency per transaction. If the total stock of money (MM) in circulation is 50,00050,000 units of currency, what is the velocity of money circulation (VV)?

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Cevap: 12

Cevap

The velocity of money circulation (VV) is 12.
According to Fisher's Equation of Exchange (M×V=P×TM \times V = P \times T), total monetary expenditure equals total nominal transactions. Substituting M=50,000M = 50,000, P=15P = 15, and T=40,000T = 40,000 yields 50,000×V=15×40,000=600,00050,000 \times V = 15 \times 40,000 = 600,000. Dividing 600,000600,000 by 50,00050,000 gives V=12V = 12.

Adım Adım Çözüm

1
Identify the relevant formula from the Quantity Theory of Money.
Fisher's Equation of Exchange: M×V=P×TM \times V = P \times T
This equation relates total money supply (MM), velocity of circulation (VV), general price level (PP), and volume of transactions (TT).
2
Substitute the given numerical values into the equation.
50,000×V=15×40,00050,000 \times V = 15 \times 40,000
Given M=50,000M = 50,000, P=15P = 15, and T=40,000T = 40,000.
3
Solve for the velocity of money circulation (VV).
V=600,00050,000=12V = \frac{600,000}{50,000} = 12
Dividing the total monetary value of transactions (P×TP \times T) by the quantity of money in circulation (MM) gives the speed at which money circulates.

Anahtar Kavram

Fisher's Quantity Theory of Money and Equation of Exchange
Soru 1084Soru

A commercial farmer in Jos allocates all available agricultural resources to cultivate either Irish potatoes or maize. Using all resources for potatoes yields 100 tonnes100\text{ tonnes} of potatoes, while using all resources for maize yields 150 tonnes150\text{ tonnes} of maize. Assuming a constant rate of substitution along the production boundary, what is the opportunity cost of producing 1 tonne1\text{ tonne} of potatoes in terms of tonnes of maize?

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Cevap: 1.5

Cevap

The opportunity cost of producing 1 tonne1\text{ tonne} of potatoes is 1.5 tonnes1.5\text{ tonnes} of maize.
Producing 100 tonnes100\text{ tonnes} of potatoes requires foregoing 150 tonnes150\text{ tonnes} of maize. The opportunity cost per tonne of potatoes is the amount of maize sacrificed per unit of potato gained, calculated as 150 tonnes of maize100 tonnes of potatoes=1.5 tonnes of maize\frac{150\text{ tonnes of maize}}{100\text{ tonnes of potatoes}} = 1.5\text{ tonnes of maize}.

Adım Adım Çözüm

1
Determine maximum production output for both alternative crops under full resource utilization.
Maximum potato capacity = 100 tonnes100\text{ tonnes}; maximum maize capacity = 150 tonnes150\text{ tonnes}.
This establishes the production possibility boundary.
2
Apply the opportunity cost formula: Opportunity Cost of Good A=Quantity of Good B ForegoneQuantity of Good A Gained\text{Opportunity Cost of Good A} = \frac{\text{Quantity of Good B Foregone}}{\text{Quantity of Good A Gained}}.
Opportunity Cost=150 tonnes of maize100 tonnes of potatoes=1.5 tonnes of maize\text{Opportunity Cost} = \frac{150\text{ tonnes of maize}}{100\text{ tonnes of potatoes}} = 1.5\text{ tonnes of maize}.
Opportunity cost quantifies the real alternative sacrifice required per unit of the chosen output.

Anahtar Kavram

Opportunity Cost
Soru 1085Soru

In Year 1, a country recorded a base price index of 100100. By Year 5, the country's Nominal Gross Domestic Product (GDP) reached 900 billion\text{₦}900\text{ billion}, and its GDP deflator rose to 150150. If the total population in Year 5 stood at 40 million40\text{ million}, what is the nation's Real Per Capita Income for Year 5 in Naira?

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Cevap: 15000

Cevap

The Real Per Capita Income for Year 5 is ₦15,000.
To accurately measure economic output and living standards, Nominal GDP must first be deflated to obtain Real GDP (Real GDP=Nominal GDPGDP Deflator×100=600 billion \text{Real GDP} = \frac{\text{Nominal GDP}}{\text{GDP Deflator}} \times 100 = \text{₦}600\text{ billion}). Dividing Real GDP by the population of 40 million40\text{ million} yields a Real Per Capita Income of 15,000\text{₦}15,000.

Adım Adım Çözüm

1
Adjust Nominal GDP for inflation to determine Real GDP.
Real GDP = (₦900 billion / 150) * 100 = ₦600 billion.
Nominal GDP measures output at current market prices, whereas Real GDP adjusts for price level changes using the GDP deflator.
2
Divide Real GDP by the total population in Year 5.
Real Per Capita Income = ₦600 billion / 40 million = ₦15,000.
Per capita real income measures the average real economic output available per person.

Anahtar Kavram

Calculation of Real GDP using the GDP Deflator and derivation of Real Per Capita Income.
Tahmini Süre:1m 30s
Soru 1086Soru

In a foreign exchange market, the daily demand for US Dollars (USD\text{USD}) in Nigeria is represented by the function Qd=2500.25EQ_d = 250 - 0.25 E, and the daily supply of US Dollars is represented by Qs=50+0.25EQ_s = 50 + 0.25 E, where QQ is the quantity in millions of US Dollars and EE is the exchange rate in Naira per Dollar (NGN/USD\text{NGN/USD}). If the monetary authority fixes the exchange rate at $1=NGN 350\$1 = \text{NGN } 350, how many millions of US Dollars must the central bank release from its foreign reserves daily to clear the market deficit and defend this pegged rate?

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Cevap: 25

Cevap

The central bank must supply 25 million US Dollars from its reserves daily.
At the fixed exchange rate of NGN 350\text{NGN } 350 per US Dollar (which overvalues the Naira relative to the free-market equilibrium of NGN 400\text{NGN } 400), foreign currency demand (162.5 million USD162.5\text{ million USD}) exceeds foreign currency supply (137.5 million USD137.5\text{ million USD}). To prevent the exchange rate from depreciating towards equilibrium, the monetary authority must inject the shortfall of 25 million USD25\text{ million USD} directly from its foreign reserves.

Adım Adım Çözüm

1
Substitute the pegged exchange rate (E=350E = 350) into the foreign exchange demand equation to find QdQ_d.
Qd=2500.25(350)=162.5 million USDQ_d = 250 - 0.25(350) = 162.5\text{ million USD}.
Determines the total foreign currency demanded by importers and investors at the fixed exchange rate.
2
Substitute the pegged exchange rate (E=350E = 350) into the foreign exchange supply equation to find QsQ_s.
Qs=50+0.25(350)=137.5 million USDQ_s = 50 + 0.25(350) = 137.5\text{ million USD}.
Determines the private market supply of foreign currency from exporters and foreign inflows at the fixed exchange rate.
3
Subtract market supply from market demand (QdQsQ_d - Q_s) to calculate the foreign exchange shortfall.
Market Deficit=162.5137.5=25 million USD\text{Market Deficit} = 162.5 - 137.5 = 25\text{ million USD}.
Under a fixed exchange rate system, the central bank must intervene by selling reserves equal to the market deficit to prevent the currency from depreciating.

Anahtar Kavram

Central Bank Intervention in Fixed Exchange Rate Systems
Soru 1087Soru

In a regional agricultural market for cashew nuts, total market demand consists of domestic processing demand (Qdd=5008PQ_{dd} = 500 - 8P) and export demand (Qdx=3004PQ_{dx} = 300 - 4P), where PP is the price per bag in thousands of Naira (\text{N}). The market supply from producer cooperatives is given by Qs=100+8PQ_s = -100 + 8P. What is the equilibrium market quantity of cashew nuts in bags?

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Cevap: 260

Cevap

260 bags
Total market demand is obtained by adding domestic processing demand and export demand (Qd=80012PQ_d = 800 - 12P). Equating total demand to market supply (80012P=100+8P800 - 12P = -100 + 8P) yields an equilibrium price of P=45P^* = 45 (in thousands of Naira). Substituting P=45P^* = 45 into the supply function yields the equilibrium quantity Q=100+8(45)=260Q^* = -100 + 8(45) = 260 bags.

Adım Adım Çözüm

1
Aggregate domestic and export demand functions to derive the total market demand function.
Qd=(5008P)+(3004P)=80012PQ_d = (500 - 8P) + (300 - 4P) = 800 - 12P
Total market demand represents the horizontal sum of all demand sectors at any given price level.
2
Set total market demand equal to market supply to find the equilibrium price (PP^*).
80012P=100+8P    20P=900    P=45800 - 12P = -100 + 8P \implies 20P = 900 \implies P^* = 45
Market equilibrium requires total quantity demanded to equal total quantity supplied.
3
Substitute the equilibrium price (P=45P^* = 45) into the market supply function to solve for the equilibrium quantity (QQ^*).
Q=100+8(45)=260Q^* = -100 + 8(45) = 260 bags
Evaluating supply at the equilibrium price yields the final market equilibrium quantity.

Anahtar Kavram

Market Equilibrium Price and Quantity with Aggregated Demand Sectors
Soru 1088Soru

A table water bottling factory operating in the short run produces 500500 bags of sachet water daily. At this output level, the factory incurs a Total Fixed Cost (TFC\text{TFC}) of 12,000\text{₦}12,000 and an Average Variable Cost (AVC\text{AVC}) of 40\text{₦}40 per bag. What is the Average Total Cost (ATC\text{ATC}) per bag of sachet water in Naira (\text{₦}) at this output level?

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Cevap: 64

Cevap

The Average Total Cost (ATC) per bag of sachet water is ₦64.
Average Total Cost (ATC) represents the total cost per unit of output produced and can be calculated using the identity ATC = AFC + AVC. First, Average Fixed Cost (AFC) is computed by dividing Total Fixed Cost (TFC = ₦12,000) by total output (Q = 500), which equals ₦24 per bag. Adding the given Average Variable Cost (AVC = ₦40) to the AFC yields an ATC of ₦24 + ₦40 = ₦64 per bag.

Adım Adım Çözüm

1
Calculate the Average Fixed Cost (AFC)
AFC = ₦12,000 / 500 = ₦24 per bag
Average Fixed Cost is obtained by dividing Total Fixed Cost (TFC) by the total output quantity (Q).
2
Calculate the Average Total Cost (ATC)
ATC = AFC + AVC = ₦24 + ₦40 = ₦64 per bag
Average Total Cost is the sum of Average Fixed Cost (AFC) and Average Variable Cost (AVC).

Anahtar Kavram

Short-Run Average Cost Calculations (ATC = AFC + AVC)
Tahmini Süre:1m 15s
Soru 1089Soru

The national economic accounts for the Republic of Kwararafa in a given fiscal year are as follows:

- Personal Consumption Expenditure (CC): ��450 billion\text{��}450\text{ billion}
- Gross Private Domestic Investment (II): 180 billion\text{₦}180\text{ billion}
- Government Spending (GG): 220 billion\text{₦}220\text{ billion}
- Exports (XX): 95 billion\text{₦}95\text{ billion}
- Imports (MM): 115 billion\text{₦}115\text{ billion}
- Net Factor Income from Abroad (NFIANFIA): 15 billion-\text{₦}15\text{ billion}
- Capital Consumption Allowance: 40 billion\text{₦}40\text{ billion}

Based on the expenditure method, calculate the Gross National Product (GNP) at market prices in billions of Naira.

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Cevap: 815

Cevap

815 billion Naira
The Gross Domestic Product (GDP) is computed as GDP=C+I+G+(XM)=450+180+220+(95115)=830 billion NairaGDP = C + I + G + (X - M) = 450 + 180 + 220 + (95 - 115) = 830\text{ billion Naira}. Adjusting for Net Factor Income from Abroad gives GNP=GDP+NFIA=830+(15)=815 billion NairaGNP = GDP + NFIA = 830 + (-15) = 815\text{ billion Naira}.

Adım Adım Çözüm

1
Compute Gross Domestic Product (GDP) via expenditure approach
GDP=C+I+G+(XM)=450+180+220+(95115)=830 billion NairaGDP = C + I + G + (X - M) = 450 + 180 + 220 + (95 - 115) = 830\text{ billion Naira}
The expenditure method sums all spending on final output produced domestically.
2
Adjust GDP for Net Factor Income from Abroad (NFIA) to obtain Gross National Product (GNP)
GNP=GDP+NFIA=830+(15)=815 billion NairaGNP = GDP + NFIA = 830 + (-15) = 815\text{ billion Naira}
GNP measures total income earned by residents of a country, incorporating net earnings from foreign transactions.

Anahtar Kavram

Expenditure Method of National Income Accounting
Tahmini Süre:1m 30s
Soru 1090Soru

A small-scale garment factory operates in the short run with a fixed quantity of equipment and variable labor (LL). When 33 tailors are employed, total output (TPTP) is 4545 shirts per day. When 44 tailors are employed, total output rises to 6464 shirts per day, and when 55 tailors are employed, total output reaches 7575 shirts per day. What is the marginal product (MPMP) of the 5th5\text{th} tailor?

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Cevap: 11

Cevap

11 shirts
The marginal product of the 5th tailor is calculated as the change in total product divided by the change in labor units: MP5=TP5TP4=7564=11MP_5 = TP_5 - TP_4 = 75 - 64 = 11 shirts per day.

Adım Adım Çözüm

1
Determine the Total Product before and after employing the 5th tailor.
TP4=64TP_4 = 64 shirts and TP5=75TP_5 = 75 shirts.
Marginal product measures the change in total output resulting from employing one additional unit of variable input.
2
Calculate the Marginal Product (MPMP) using MP5=TP5TP4MP_5 = TP_5 - TP_4.
MP5=7564=11MP_5 = 75 - 64 = 11 shirts.
Subtracting the output of 4 tailors from the output of 5 tailors isolates the contribution of the 5th tailor.

Anahtar Kavram

Marginal Product Calculation
Tahmini Süre:1m 0s
Soru 1091Soru

In a local agricultural market, the daily demand function for inorganic fertilizer is given by Qd=60015PQ_d = 600 - 15P and the supply function is given by Qs=150+10PQ_s = -150 + 10P, where PP represents the price per bag in Naira (N\text{N}). What is the market equilibrium price in Naira?

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Cevap: 30

Cevap

The market equilibrium price is 30 Naira.
At market equilibrium, quantity demanded equals quantity supplied (Qd=QsQ_d = Q_s). Equating 60015P600 - 15P and 150+10P-150 + 10P gives 750=25P750 = 25P, which solves to an equilibrium price of 30 Naira.

Adım Adım Çözüm

1
Equate the demand function and the supply function to set the market equilibrium condition.
Qd=Qs    60015P=150+10PQ_d = Q_s \implies 600 - 15P = -150 + 10P
Market equilibrium occurs precisely where the quantity buyers wish to purchase equals the quantity sellers wish to supply.
2
Collect constants on one side and terms with the variable PP on the other side.
600+150=10P+15P    750=25P600 + 150 = 10P + 15P \implies 750 = 25P
Transposing 150-150 and 15P-15P across the equals sign changes their signs to positive.
3
Solve for the equilibrium price PP by dividing the total constant by the coefficient of PP.
P=75025=30P = \frac{750}{25} = 30
Dividing 750 by 25 yields the price per bag at which the market clears.

Anahtar Kavram

Market Equilibrium Price
Tahmini Süre:1m 30s
Soru 1092Soru

A commercial printing enterprise operating in the short run produces 55 thousand brochures at an Average Fixed Cost (AFC\text{AFC}) of 160\text{₦}160 per thousand and an Average Variable Cost (AVC\text{AVC}) of 120\text{₦}120 per thousand. When the firm expands output to 1010 thousand brochures, its Total Cost (TC\text{TC}) rises to 2,650\text{₦}2,650. What is the Marginal Cost (MC\text{MC}) per thousand brochures over this range of output?

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Cevap: 250

Cevap

The Marginal Cost (MC\text{MC}) per thousand brochures over this output range is 250\text{₦}250.
To find the Marginal Cost (MC\text{MC}), first compute initial Total Cost at 55 units: TC1=(AFC+AVC)×Q=(160+120)×5=1,400\text{TC}_1 = (\text{AFC} + \text{AVC}) \times Q = (160 + 120) \times 5 = \text{₦}1,400. Next, determine the change in total cost when expanding to 1010 units: ΔTC=2,6501,400=1,250\Delta \text{TC} = \text{₦}2,650 - \text{₦}1,400 = \text{₦}1,250. Dividing this by the change in output (ΔQ=105=5\Delta Q = 10 - 5 = 5) gives MC=1,2505=250\text{MC} = \frac{1,250}{5} = \text{₦}250.

Adım Adım Çözüm

1
Calculate Total Cost at initial output level (Q1=5Q_1 = 5)
ATC1=AFC1+AVC1=160+120=280\text{ATC}_1 = \text{AFC}_1 + \text{AVC}_1 = 160 + 120 = \text{₦}280 per thousand. Therefore, TC1=ATC1×Q1=280×5=1,400\text{TC}_1 = \text{ATC}_1 \times Q_1 = 280 \times 5 = \text{₦}1,400.
Total cost at an output level is equal to Average Total Cost multiplied by the output quantity.
2
Determine the change in Total Cost (ΔTC\Delta \text{TC}) and change in Quantity (ΔQ\Delta Q)
ΔTC=TC2TC1=2,6501,400=1,250\Delta \text{TC} = \text{TC}_2 - \text{TC}_1 = 2,650 - 1,400 = \text{₦}1,250; ΔQ=Q2Q1=105=5\Delta Q = Q_2 - Q_1 = 10 - 5 = 5 thousand brochures.
Marginal cost measures the change in total cost resulting from a change in the total output quantity.
3
Calculate Marginal Cost (MC\text{MC})
MC=ΔTCΔQ=1,2505=250\text{MC} = \frac{\Delta \text{TC}}{\Delta Q} = \frac{1,250}{5} = \text{₦}250 per thousand brochures.
Dividing the change in total cost by the change in output yields the unit marginal cost over the interval.

Anahtar Kavram

Short-Run Marginal Cost and Total Cost derivation from Average Cost components
Soru 1093Soru

An economy's balance of payments accounts for a financial year record the following transactions (in millions of US dollars):

Transaction ItemValue ($ million)
Merchandise exports550
Merchandise imports700
Net invisible earnings90
Net current transfers-20
Net capital account flows-40

Calculate the overall Balance of Payments position in millions of US dollars (use a negative sign to indicate a deficit).

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Cevap: -120

Cevap

-120 million USD (representing an overall Balance of Payments deficit of $120 million)
The overall Balance of Payments is calculated by summing the Current Account Balance and the Capital Account Balance. First, the Balance of Visible Trade is calculated as merchandise exports minus merchandise imports: 550million550 million - 700 million = -150million.Next,theCurrentAccountBalanceisdeterminedbyaddingnetinvisibleearningsandnetcurrenttransferstothevisiblebalance:150 million. Next, the Current Account Balance is determined by adding net invisible earnings and net current transfers to the visible balance: - 150 million + 90million+(90 million + (- 20 million) = -80million.Finally,addingthenetcapitalaccountflows(80 million. Finally, adding the net capital account flows (- 40 million) results in an overall balance of -120million,whichindicatesaBalanceofPaymentsdeficitof120 million, which indicates a Balance of Payments deficit of 120 million.

Adım Adım Çözüm

1
Calculate the Balance of Visible Trade (Trade Balance)
-$150 million
The trade balance equals visible exports minus visible imports (550million550 million - 700 million).
2
Calculate the Current Account Balance
-$80 million
The current account balance combines the visible trade balance, net invisible earnings, and net current transfers (-150million+150 million + 90 million - $20 million).
3
Calculate the Overall Balance of Payments position
-$120 million
The overall balance is the sum of the current account balance and the capital account balance (-80million+(80 million + (- 40 million)).

Anahtar Kavram

Calculation of overall Balance of Payments position from current account and capital account sub-balances
Soru 1094Soru

In a given fiscal year, a government's budgetary projections are presented as follows:

Budget ComponentAmount (₦ billion)
Recurrent Revenue450
Capital Revenue150
Recurrent Expenditure380
Capital Expenditure320

Based on the table above, what is the magnitude of the government's budget deficit in billions of Naira?

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Cevap: 100

Cevap

The magnitude of the government's budget deficit is 100 billion Naira.
The budget deficit is determined by finding the difference between total expenditure and total revenue. Total revenue equals ₦450 billion + ₦150 billion = ₦600 billion. Total expenditure equals ₦380 billion + ₦320 billion = ₦700 billion. The budget deficit is therefore ₦700 billion - ₦600 billion = ₦100 billion.

Adım Adım Çözüm

1
Calculate Total Revenue
Total Revenue = ₦450 billion + ₦150 billion = ₦600 billion
Total government revenue is the sum of recurrent revenue and capital revenue.
2
Calculate Total Expenditure
Total Expenditure = ₦380 billion + ₦320 billion = ₦700 billion
Total government expenditure is the sum of recurrent expenditure and capital expenditure.
3
Calculate the Budget Deficit
Budget Deficit = Total Expenditure - Total Revenue = ₦700 billion - ₦600 billion = ₦100 billion
A budget deficit occurs when total spending exceeds total revenue earned.

Anahtar Kavram

Budget Deficit Calculation
Soru 1095Soru

A cooperative farm produced a total grain harvest of 1,200 bags1,200\text{ bags} in a farming season, consisting of 450 bags450\text{ bags} of maize, 350 bags350\text{ bags} of sorghum, and 400 bags400\text{ bags} of rice. What is the sectorial angle representing sorghum when this data is represented on a pie chart?

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Cevap: 105

Cevap

The sectorial angle representing sorghum on the pie chart is 105105^\circ.
To find the angle representing sorghum on a pie chart, calculate its ratio relative to the total harvest and multiply by 360360^\circ: 3501200×360=105\frac{350}{1200} \times 360^\circ = 105^\circ.

Adım Adım Çözüm

1
Determine the total harvest quantity and sorghum quantity from the given data.
Total harvest = 1,200 bags1,200\text{ bags}; Sorghum harvest = 350 bags350\text{ bags}.
Calculating a sectorial angle requires knowing the specific component frequency and the total frequency.
2
Calculate the proportion of sorghum relative to the total grain harvest.
Proportion = 3501200=724\frac{350}{1200} = \frac{7}{24}.
A pie chart represents parts of a whole proportionally.
3
Convert the proportion into degrees by multiplying by 360360^\circ.
Angle = 724×360=105\frac{7}{24} \times 360^\circ = 105^\circ.
A full pie chart circle contains 360360^\circ.

Anahtar Kavram

Calculating sectorial angles for pie chart construction
Soru 1096Soru

A palm oil processing mill operates in the short run with fixed processing machinery and variable labor (LL). When 33 workers are employed, the average product (APAP) of labor is 1616 barrels per day. When a 4th4\text{th} worker is added, the total product (TPTP) increases to 6464 barrels per day. What is the marginal product (MPMP) of the 4th4\text{th} worker in barrels per day?

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Cevap: 16

Cevap

The marginal product of the 4th worker is 16 barrels per day.
To find the marginal product of the 4th worker, first determine total output with 3 workers: TP3=AP3×3=16×3=48TP_3 = AP_3 \times 3 = 16 \times 3 = 48 barrels. The marginal product of the 4th worker is the change in total product when moving from 3 to 4 workers: MP4=TP4TP3=6448=16MP_4 = TP_4 - TP_3 = 64 - 48 = 16 barrels.

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1
Calculate the Total Product for 3 workers (TP3TP_3)
TP_3 = 48 barrels
Total Product is calculated by multiplying Average Product by the number of workers (TP=AP×L=16×3=48TP = AP \times L = 16 \times 3 = 48).
2
Calculate the Marginal Product of the 4th worker (MP4MP_4)
MP_4 = 16 barrels
Marginal Product is the addition to Total Product resulting from employing one additional unit of labor (MP4=TP4TP3=6448=16MP_4 = TP_4 - TP_3 = 64 - 48 = 16).

Anahtar Kavram

Short-Run Production: Deriving Marginal Product from Average Product and Total Product
Soru 1097Soru

In 2025, Country Alpha recorded a Nominal Gross Domestic Product (GDP) of $600 billion\$600\text{ billion}. The country's GDP deflator was 150150 (with base year index = 100100) and its total population was 80 million80\text{ million}. To assess living standards accurately, economists adjust national income figures for inflation and population size. What is the Real Per Capita GDP of Country Alpha in dollars?

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Cevap: 5000

Cevap

The Real Per Capita GDP of Country Alpha is $5,000.
To evaluate economic welfare accurately, national income must be adjusted for price changes (using the GDP deflator) and divided by the total population. Converting Nominal GDP ($600 billion\$600\text{ billion}) with a deflator of 150150 yields a Real GDP of $400 billion\$400\text{ billion}. Dividing $400 billion\$400\text{ billion} by 80 million80\text{ million} people gives a Real Per Capita GDP of $5,000\$5,000.

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1
Deflate Nominal GDP to obtain Real GDP.
Real GDP=$600 billion150×100=$400 billion\text{Real GDP} = \frac{\$600\text{ billion}}{150} \times 100 = \$400\text{ billion}
Nominal GDP includes price inflation. Dividing by the GDP deflator isolates the volume of physical output produced.
2
Divide Real GDP by total population.
Real Per Capita GDP=$400,000,000,00080,000,000=$5,000\text{Real Per Capita GDP} = \frac{\$400,000,000,000}{80,000,000} = \$5,000
Per capita real income measures the average volume of real goods and services available per person, serving as a key indicator of living standards.

Anahtar Kavram

Calculation of Real Per Capita Income for Living Standard Assessment
Tahmini Süre:1m 30s
Soru 1098Soru

A bakery in Benin City allocates its daily supply of flour to produce either 100 loaves of bread or 50 meat pies. Currently, the bakery produces 20 meat pies. If the baker decides to increase meat pie production to 35 meat pies, what is the opportunity cost of this decision in terms of loaves of bread foregone?

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Cevap: 30

Cevap

The opportunity cost of producing 15 additional meat pies is 30 loaves of bread foregone.
Opportunity cost measures the quantity of one good foregone to produce additional units of another good. Here, each meat pie requires giving up 2 loaves of bread (100÷50=2100 \div 50 = 2). Increasing pie production by 15 units (from 20 to 35) requires giving up 15×2=3015 \times 2 = 30 loaves of bread.

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1
Determine the opportunity cost per unit of meat pie
1 meat pie = 2 loaves of bread (100 ÷ 50)
Establishing the rate of transformation between bread and meat pies based on resource allocation.
2
Calculate the increase in meat pie production
35 - 20 = 15 meat pies
Finding the marginal increase in output of the chosen item.
3
Calculate the total loaves of bread foregone
15 × 2 = 30 loaves of bread
Multiplying the additional meat pies produced by the unit opportunity cost in terms of bread.

Anahtar Kavram

Opportunity Cost in Production Trade-offs
Soru 1099Soru

An economy's current equilibrium national income is $1,200 billion\$1,200\text{ billion}, while its full-employment potential national income is $1,500 billion\$1,500\text{ billion}. The consumption function is C=150+0.75YdC = 150 + 0.75Y_d, where YdY_d is disposable income (Yd=YTY_d = Y - T), and the tax function is T=40+0.20YT = 40 + 0.20Y, where YY is national income. To achieve economic stabilization at full employment using fiscal policy, by how much (in billions of dollars) must the government increase its expenditure (GG)?

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Cevap: 120

Cevap

The government must increase its expenditure by 120 billion dollars.
To close the $300 billion\$300\text{ billion} recessionary gap, the government spending multiplier must incorporate the proportional tax rate (t=0.20t = 0.20). The effective MPC out of national income is 0.75×(10.20)=0.600.75 \times (1 - 0.20) = 0.60, yielding a government spending multiplier of Kg=110.60=2.5K_g = \frac{1}{1 - 0.60} = 2.5. Dividing the gap of $300 billion\$300\text{ billion} by 2.52.5 gives the required spending increase of 120 billion dollars.

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1
Determine the output gap
Output gap ΔY=$1,500 billion$1,200 billion=$300 billion\Delta Y = \$1,500\text{ billion} - \$1,200\text{ billion} = \$300\text{ billion}
Economic stabilization requires increasing national income by the difference between potential output and current equilibrium output.
2
Calculate the effective marginal propensity to consume out of total national income (MPCYMPC_Y)
MPCY=0.75×(10.20)=0.60MPC_Y = 0.75 \times (1 - 0.20) = 0.60
The proportional income tax reduces disposable income to (1t)Y(1 - t)Y, altering the overall spending response to changes in total output.
3
Calculate the government spending multiplier (KgK_g)
Kg=110.60=2.5K_g = \frac{1}{1 - 0.60} = 2.5
The spending multiplier accounts for income tax leakages in the circular flow.
4
Calculate the required increase in government spending (ΔG\Delta G)
ΔG=$300 billion2.5=120 billion\Delta G = \frac{\$300\text{ billion}}{2.5} = 120\text{ billion}
Dividing the output gap by the fiscal multiplier yields the exact injection of expenditure needed to achieve full employment.

Anahtar Kavram

Fiscal policy tools, government expenditure multiplier with proportional taxation, and economic stabilization of output gaps.
Soru 1100Soru

A nation's total federal budget of 500 billion₦500\text{ billion} is allocated across four key sectors: Health (125 billion₦125\text{ billion}), Education (175 billion₦175\text{ billion}), Defense (120 billion₦120\text{ billion}), and Agriculture (the remainder). In a pie chart constructed to represent this budget distribution, what is the central angle (in degrees) representing the allocation for Agriculture?

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Cevap: 57.6

Cevap

The central angle representing the allocation for Agriculture is 57.657.6^\circ.
To calculate the central angle of a sector in a pie chart, find the ratio of that sector's value to the total value and multiply by 360360^\circ. Subtracting the specified sector allocations (125 billion+175 billion+120 billion=420 billion₦125\text{ billion} + ₦175\text{ billion} + ₦120\text{ billion} = ₦420\text{ billion}) from the total budget of 500 billion₦500\text{ billion} leaves 80 billion₦80\text{ billion} for Agriculture. The proportion is 80500=0.16\frac{80}{500} = 0.16. Multiplying 0.160.16 by 360360^\circ results in a central angle of 57.657.6^\circ.

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1
Calculate the monetary allocation for the Agriculture sector.
Agriculture allocation = 80 billion₦80\text{ billion}.
The total budget is 500 billion₦500\text{ billion}, and the combined allocation for Health, Education, and Defense is 125+175+120=420 billion₦125 + ₦175 + ₦120 = ₦420\text{ billion}.
2
Find the fractional share of Agriculture relative to the entire budget.
Proportional share = 0.160.16 (or 16%16\%).
Dividing 80 billion₦80\text{ billion} by the total budget of 500 billion₦500\text{ billion} gives 80500=0.16\frac{80}{500} = 0.16.
3
Convert the fractional share into a sector angle in degrees.
Central angle = 57.657.6^\circ.
A full circle in a pie chart corresponds to 360360^\circ, so 0.16×360=57.60.16 \times 360^\circ = 57.6^\circ.

Anahtar Kavram

Pie Chart Central Angle Calculation
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