Question: Derive an expression for the inverse demand curve faced by the monopolist in this market. Using the fact that total revenue is equal to P(Q)

  1. Derive an expression for the inverse demand curve faced by the monopolist in this market.
  2. Using the fact that total revenue is equal to P(Q) Q, demonstrate that the slope of the marginal revenue curve is twice as steep as the demand curve.
  3. If the firm wanted to sell 200 units, what price would it charge?
  4. If the firm charged a price of $15, how much would it sell?
  5. What is the marginal revenue under (c) and (d)? Is demand elastic or inelastic?
  6. If the firm charges $10, how much will it sell? What is the own-price elasticity of demand?
  7. Suppose the monopolist firm's marginal cost function is given as MC = 2 + 0.04Q.

(i) What is the firm's profit-maximizing level of output? (ii) What price should the monopolist firm charge?

(in) What is the monopolist firm's revenue at this level of output and price? (iv) What is the monopolist firm's total cost for producing the profit maximizing

level of output?

(v) What is the monopolist firm's profit under this scenario?

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