A store can sell 12 telephone answering machines per day at a price of $200 each.. The manager estimate that for each $10 price reduction she can sell 2 more per day. The answering machines cost the store $80 each. Find the price and the quantity sold per day to maximize the companys profit. Let x be the number of $10 dollar price reductions. Find in this order the following functions: n(X)= number of items sold the price function p(x) the cost function C(x) the revenue function R(x) and the profit function P(x) Then maximize the profit function.

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