Q4 The output of a production process, Q, is given by the function KL K+ 2L where K and L denote capital and labor. (a) Calculate the output when the capital and labor are 40 and 30 units, respectively. (b) Find the level of labor needed to produce 4 units of output when 10 units of capital are used. (c) Transpose this formula to express K in terms of Q and L. 05

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Chapter7: Production Economics
Section: Chapter Questions
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Q4
The output of a production process, Q, is given by the function
KL
Q =
K+ 2L
where K and L denote capital and labor.
(a) Calculate the output when the capital and labor are 40 and 30 units, respectively.
(b) Find the level of labor needed to produce 4 units of output when 10 units of capital are used.
(c) Transpose this formula to express K in terms of Q and L.
Q5
3
The equations defining a simple model of the economy are:
C = 0.75Y + 18
I = 22
where C, Y and I denote consumption, national income and planned investment,
respectively.
Use this model to complete the following table of values and hence draw an accurate
graph of C + I plotted against Y on the interval 0 < Y< 200.
100
200
C + I
By drawing a second line on the diagram, calculate the equilibrium level of national income.
Use your graph to explain what happens to the equilibrium level of national income
when the marginal propensity to consume decreases with autonomous consumption fixed.
Transcribed Image Text:Q4 The output of a production process, Q, is given by the function KL Q = K+ 2L where K and L denote capital and labor. (a) Calculate the output when the capital and labor are 40 and 30 units, respectively. (b) Find the level of labor needed to produce 4 units of output when 10 units of capital are used. (c) Transpose this formula to express K in terms of Q and L. Q5 3 The equations defining a simple model of the economy are: C = 0.75Y + 18 I = 22 where C, Y and I denote consumption, national income and planned investment, respectively. Use this model to complete the following table of values and hence draw an accurate graph of C + I plotted against Y on the interval 0 < Y< 200. 100 200 C + I By drawing a second line on the diagram, calculate the equilibrium level of national income. Use your graph to explain what happens to the equilibrium level of national income when the marginal propensity to consume decreases with autonomous consumption fixed.
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