Managerial Economics - Optimal output and price

Please see attached file for complete questions.

The locust corporation is composed of a marketing division and a production division. The marginal cost of producing a unit of the firm's product is $10 per unit, and the marginal cost of marketing it is $4 per unit. The demand curve for the firm'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. What is the firm's optimal output?
b. What price should the firm charge?
c. How much should the production division charge the marketing division for each unit of the product?

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