What is the total market demand for polyglue

Question

Problem

Alchem (L) is the price leader in the polyglue market. All 10 other manufacturers (follower [F] firms) sell polyglue at the same price as Alchem. Alchem allows the other firms to sell as much as they wish at the established price and supplies the remainder of the demand itself. Total demand for polyglue is given by the following function (Q_T = Q_L + Q_F )

P = 20,000 - 4QT

Alchem's marginal cost function for manufacturing and selling polyglue is

MCL = 5,000 + 5Q_L

The aggregate marginal cost function for the other manufacturers of polyglue is

a. To maximize profits, how much polyglue should Alchem produce and what price should it charge?

b. What is the total market demand for polyglue at the price established by Alchem in Part (a)? How much of total demand do the follower firms supply?

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.