Problem 3. Two plants production. A firm has two plants that produce the same good. The cost functions for the two plants are VC(q1)=(q1)^2/2 VC(q2)=q2 where q1 and q2 are quantities of output produced in each plant. a. If the firm wants to produce one unit of output at minimum cost, how much should it produce in each plant? If it wants to produce two units of output? b. Now consider an arbitrary quantity of output q. To minimize costs, how should the firm produce its output in each plant? c. What does the firm's cost function look like? d. What are the average and marginal cost functions?