Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm - Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decises to charge the same price as Tile King to avoid the possibility of a price war. The price charged by Tile King is $20,000.
Ajax has the following short-run cost curve:
TC = 800,000 - 5000Q + 100Q^2
a) Compute the marginal cost curve for Ajax
b) Given Ajax's pricing strategy, what is the marginal revenue function for Ajax
c) Compute the profit-maximizing level of output for Ajax
d) Compute Ajax's total dollar profits