Consider the C -Douglas production function q a. Find the RTS and show that it is decreasing in l. Plot the isoquant with k on the y-axis and l on the x-axis. b. Find the contingent demand for capital and labor. That is, find the quantities of capital and labor that will minimize cost for a given output qo. To produce twice the quantity how much do capital and labor have to change? What does this sayv about returns to scale?

Microeconomic Theory
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Chapter11: Profit Maximization
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2. Consider the Cobb-Douglas production function q =
a. Find the RTS and show that it is decreasing in l. Plot the isoquant
with k on the y-axis and l on the x-axis.
b. Find the contingent demand for capital and labor. That is, find the
quantities of capital and labor that will minimize cost for a given
output q0. To produce twice the quantity how much do capital and
labor have to change? What does this say about returns to scale?
Transcribed Image Text:2. Consider the Cobb-Douglas production function q = a. Find the RTS and show that it is decreasing in l. Plot the isoquant with k on the y-axis and l on the x-axis. b. Find the contingent demand for capital and labor. That is, find the quantities of capital and labor that will minimize cost for a given output q0. To produce twice the quantity how much do capital and labor have to change? What does this say about returns to scale?
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