The Locust Corporation is composed of a marketing division and a production
division. The marginal cost of producing a unit of the firmâ€™s product is
$10 per unit, and the marginal cost of marketing it is $4 per unit. The demand
curve for the firmâ€™s product is P = 100 – 0.01Q
where P is the price per unit (in dollars) and Q is output (in units). There is no
external market for the good made by the production division.
a. How should managers set the optimal output?
b. What price should managers charge?
c. How much should the production division manager charge his counterpart
in marketing for each unit of the product?