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State four barriers to entry in a monopoly market. Sketch a diagram showing price rigidity under oligopoly.

Economics

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3 parts
b

1100 million francs CFA\text{1100 million francs CFA}

c

1200 million francs CFA\text{1200 million francs CFA}

d
1.25

Step-by-step solution

11 steps

a) The statistics include consumption expenditure, investment, government spending, and income tax. The presence of government spending and income tax indicates a government sector. Since exports and imports are not initially mentioned, the economy is a closed economy with a government.

Part b· 3 steps

  1. Determine disposable income (YdY^d) and the consumption function.

    Given Yd=Y−TY^d = Y - T and T=0.5YT = 0.5Y.

    Yd=Y−0.5Y=0.5YY^d = Y - 0.5Y = 0.5Y

    Substitute YdY^d into the consumption function C=60+0.8YdC = 60 + 0.8Y^d:

    C=60+0.8(0.5Y)=60+0.4YC = 60 + 0.8(0.5Y) = 60 + 0.4Y
  2. Set up the equilibrium condition for a closed economy with government.

    Y=C+I+GY = C + I + G

    Substitute the given values:

    Y=(60+0.4Y)+200+400Y = (60 + 0.4Y) + 200 + 400
  3. Solve for the equilibrium level of national income (YY).

    Y=660+0.4YY = 660 + 0.4Y Y−0.4Y=660Y - 0.4Y = 660 0.6Y=6600.6Y = 660 Y=6600.6Y = \frac{660}{0.6} Y=1100 million francs CFAY = \boxed{\text{1100 million francs CFA}}

Part c

1200 million francs CFA\text{1200 million francs CFA}

  1. Introduce exports (XX) and imports (MM) into the equilibrium condition.

    Given X=300X = 300 and M=0.2YM = 0.2Y. The economy is now an open economy with government.

    Y=C+I+G+(X−M)Y = C + I + G + (X - M)

    Substitute the consumption function from part (b) and the new values:

    Y=(60+0.4Y)+200+400+(300−0.2Y)Y = (60 + 0.4Y) + 200 + 400 + (300 - 0.2Y)
  2. Solve for the new equilibrium level of income (YY).

    Y=60+0.4Y+200+400+300−0.2YY = 60 + 0.4Y + 200 + 400 + 300 - 0.2Y Y=(60+200+400+300)+(0.4Y−0.2Y)Y = (60 + 200 + 400 + 300) + (0.4Y - 0.2Y) Y=960+0.2YY = 960 + 0.2Y Y−0.2Y=960Y - 0.2Y = 960 0.8Y=9600.8Y = 960 Y=9600.8Y = \frac{960}{0.8} Y=1200 million francs CFAY = \boxed{\text{1200 million francs CFA}}

Part d1.25

  1. Identify the components for the multiplier in an open economy with proportional tax.

    From C=60+0.8YdC = 60 + 0.8Y^d, the marginal propensity to consume (MPCMPC) from disposable income is 0.8.
    From T=0.5YT = 0.5Y, the tax rate (tt) is 0.5.
    From M=0.2YM = 0.2Y, the marginal propensity to import (MPMMPM) is 0.2.

  2. Calculate the value of the multiplier (kk).

    The formula for the multiplier is:

    k=11−MPC(1−t)+MPMk = \frac{1}{1 - MPC(1-t) + MPM} k=11−0.8(1−0.5)+0.2k = \frac{1}{1 - 0.8(1-0.5) + 0.2} k=11−0.8(0.5)+0.2k = \frac{1}{1 - 0.8(0.5) + 0.2} k=11−0.4+0.2k = \frac{1}{1 - 0.4 + 0.2} k=10.6+0.2k = \frac{1}{0.6 + 0.2} k=10.8k = \frac{1}{0.8} k=1.25k = \boxed{1.25}

Part e(i)· 2 steps

Balance of payment situation

  1. Calculate total imports (MM) at the new equilibrium income from part (c), Y=1200Y = 1200.

    M=0.2Y=0.2(1200)=240 million francs CFAM = 0.2Y = 0.2(1200) = 240 \text{ million francs CFA}
  2. Calculate net exports (X−MX - M).

    X−M=300−240=60 million francs CFAX - M = 300 - 240 = 60 \text{ million francs CFA}

    Since net exports are positive, the country has a balance of payments surplus.

Part e(ii)· 2 steps

Budget situation

  1. Calculate total tax revenue (TT) at the new equilibrium income from part (c), Y=1200Y = 1200.

    T=0.5Y=0.5(1200)=600 million francs CFAT = 0.5Y = 0.5(1200) = 600 \text{ million francs CFA}
  2. Calculate the government budget balance (G−TG - T).

    G−T=400−600=−200 million francs CFAG - T = 400 - 600 = -200 \text{ million francs CFA}

    Since government spending is less than tax revenue, the country has a budget surplus.

Part f

An inflationary gap occurs when the actual aggregate demand in an economy is greater than the aggregate supply at full employment. This leads to upward pressure on prices and inflation. A deflationary gap occurs when the actual aggregate demand is less than the aggregate supply at full employment, resulting in unused capacity, unemployment, and downward pressure on prices.

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