You are the manager of a monopolistically competitive firm

You are the manager of a monopolistically competitive firm, and your demand and cost functions are given by Q = 36 – 4P and C(Q) = 124 – 16Q + Q2.

a. Find the inverse demand function for your firm’s product.
b. Determine the profit-maximizing price and level of production.

Instruction: Price should be rounded to the nearest penny (two decimal places).
Price: $ 
Quantity: 
c. Calculate your firm’s maximum profits.