Question 3 A firm has production function q=2LK+K . The price of labor is w=1 and the price of capital is r=1. (L and Kdo not have to be integers.)

a) Suppose in the short run, capital is fixed at K=5. What is the equation of the shortrun total cost curve?

b) In the long run, what is the cost-minimizing input combination when the firm produces q=18? What is the level of total cost at this input choice?

c) Suppose now w=8 and r=1. What is the long-run cost-minimizing input

combination when the firm produces q=3? What is the level of total cost at this input choice? Suppose in the short run, capital is fixed at K=1. What is the level of total cost in the short run if the firm produces q=3?