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A monopolist has demand and cost curves given by q 200 -

A monopolist has demand and cost curves given by:

Q = 200 - P

TC = 50 + 25Q + 0.1Q2

Show work for all parts:

a. Find the equation for the inverse demand curve (P as a function of Q).

b. Show total revenue as a function of Q.

c. Show marginal revenue as a function of Q.

d. Show marginal cost as a function of Q.

e. Find the profit-maximizing output (Q).

f. Use the inverse demand curve to find the profit-maximizing price.

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Business Management: A monopolist has demand and cost curves given by q 200 -

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