Manufacturing The Buster Green Shoe Company determines

Chapter 1, Problem 1.512

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Manufacturing The Buster Green Shoe Company determines that the annual cost C of making x pairs of one type of shoe is $30 per pair plus $100,000 in fixed overhead costs. Each pair of shoes that is manufactured is sold wholesale for $50.

(a) Find an equation that models the cost of producing x pairs of shoes.

(b) Find an equation that models the revenue produced from selling x pairs of shoes.

(c) Find how many pairs of shoes must be made and sold in order to break even.

(d) Graph the equations in (a) and (b). What is the graphical interpretation of the answer in (c)?

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