Nonlinear Price Discrimination: Consider a monopolist that faces an inverse demand curve given by

P(Q) = 450 3Q and has a cost function given by C(Q) = 2Q² + 5Q.

Uniform Pricing Model

Suppose the monopolist is unable to price discriminate and must charge the same price to all consumers.

Part 1

What is the Profit-maximizing quantity: ? (Round to two decimal places and use the rounded value in Part 2 below.)

Part 2 - Calculate the producer surplus of this market under the uniform pricing model.

What is the Producer surplus: ? (Round answer to two decimal places.)

Nonuniform Pricing Model

Suppose the monopolist can engage in second degree price discrimination by using two blocks in a declining-block pricing scheme. It charges a high price, P₁, on the first Q₁ units (the first block) and a lower price, P₂, on the next Q₂ - Q₁ units(the secondblock).

Part 3Calculate the profit-maximizing values for Q₁

What is the quantity sold in the first block (Q₁) ? (Round your answer to two decimal places and use the rounded value in part 4 and 5).

Part 4 Calculate the profit-maximizing values for Q₂.

What is the total quantity sold(Q₂) ? (Round your answer to two decimal places.)

Part 5 Calculate the producer surplus of this market under the non-uniform pricing model.

What is the producer surplus ? (Round your answer to two decimal places.)