Question: THE PRODUCTION FUNCTION AND CONSTANT RETURNS TO SCALE Consider the production function Y = 2K2N a. Compute output when K 49 and N
THE PRODUCTION FUNCTION AND CONSTANT RETURNS TO SCALE Consider the production function Y = 2K2N
a. Compute output when K 49 and N 81.
b. If both capital and labour double, what happens to output?
c. Is this production function characterized by constant returns to scale? Explain.
d. Write this production function as a relationship between output per worker and capital per worker.
e. Let K/ N 4. What is Y/ N? Now, double K/ N to 8. Does Y/ N more or less than double?
f. Does the relation between output per worker and capital per worker exhibit constant returns to scale? g. Is your answer in
(f) the same as your answer in (c)? Why, or why not? h. Plot the relation between output per worker and capital per worker. Does it have the same general shape as the relation in Figure 15–5 ? Explain.
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