Established price and supplies the remainder

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Reference no: EM137933

Q. This has 3 'parts' so I'd like it to use my 3 questions if it can be counted as '1' please.

Alchem (L) is the price leader in the poly glue market. All 10 other manufacturers [follower (F) firms] sell poly glue at the same price as Alchem. Alchemy 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 poly glue is given by the following function (Qt = Ql + Qf):

P = 20,000 -4Qt

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

MCl= 5,000 + 5Qt

The cumulative marginal price function for the other manufacturers of polyglue is

MCf = 2,000 +4Qf

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 the total demand do the follower firms supply?

Reference no: EM137933

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