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Sally the Builder can produce blocks according to the following production function, q = f ( L , K ) = 10 L 0.5 K

Sally the Builder can produce blocks according to the following production function, q=f(L,K) = 10L0.5K0.5

Suppose that wage (w) is $1 per hour and the rental rate (r) is $4.

a. Draw an accurate figure showing how Sally minimizes costs of production.

b. What is the equation of the (long run) expansion path? Illustrate it on the graph.

c. Derive the long run total cost curve equation as a function of q.

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