A publisher has fixed costs of $110,000 for a mathematics text. The variable costs are $50 per book. The book sells for $72. Find equations that give
(a) The cost c of making x books
(b) The revenue r from selling x books
(c) The profit p from selling x books
(d) What is the publisher’s break-even point (see Exercise 1(a))?
Exercise 1
The profit p (in thousands of dollars) on x thousand units of a specialty item is p = .6x − 14.5. The cost c of manufacturing x thousand items is given by c = .8x + 14.5.
(a) How many items must be sold for the company to break even (i.e., for revenue to equal cost)?
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