Problem

Breaking even. Peerless Publishing Company intends to publish Harriet Henrita’s next novel...

Breaking even. Peerless Publishing Company intends to publish Harriet Henrita’s next novel. The estimated cost is $75,000 plus $5.50 for each copy printed. The selling price per copy is $15. The bookstores retain 40% of the selling price as commission. Let x represent the number of copies printed and sold.

a. Find the cost function C (x).

b. Find the revenue function R(x) .

c. Find the profit function P (x).

d. How many copies of the novel must be sold for Peerless to break even?

e. What is the company profit if 46,000 copies are sold?

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