A glass manufacturers production function is q = 10L0.5K0.5 (Hsieh, 1995). Suppose that its wage, w, is

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A glass manufacturer’s production function is q = 10L0.5K0.5 (Hsieh, 1995). Suppose that its wage, w, is $1 per hour and the rental cost of capital, r, is $4.

a. Draw an accurate figure showing how the glass firm minimizes its cost of production.

b. What is the equation of the (long-run) expansion path for a glass firm? Illustrate in a graph.

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

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