A firm has two factories, for which costs are given by:
Factory#1: C 2 1(QI) = 10QI
Factory#2: C2 (Q2) = 20Q222
The firm faces the following demand curve:
P = 700-5Q
where Q is total output-Le., Q = Q1 + Q2"
a. On a diagram, draw the marginal cost curves for the two factories, the average and marginal revenue curves, and the total marginal cost curve (i.e., the marginal cost of producing Q = Q1 + Q2)" Indicate the profit-maximizing output for each factory, total output, and price.
b. Calculate the values of QI" Q2" Q, and P that maximize profit.
c. Suppose that labor costs increase in Factory 1 but not in Factory
1. How should the firm adjust (i.e., raise, lower, or leave unchanged) the following: Output in Factory 1? Output in Factory 2? Total output? Price?
2.A drug company has a monopoly on a new patented medicine. The product can be made in either of two plants. The costs of production for the two plants are MCl = 20 + 2Ql and MC2 = 10 + 5Q2" The firm"s estimate of demand for the product is P = 20 - 3(Ql + Q2)" How much should the firm plan to produce in each plant? At what price should it plan to sell the product?