An Introduction to Management Science 13th Edition by David Anderson,Dennis Sweeney ,Thomas Williams ,Jeffrey Camm, Kipp Martin

Exercise 10

The O'Neill Shoe Manufacturing Company will produces a special-style shoe if the order size is large enough to provide a reasonable profit. The variable cost is $30 per pair, and each pair sells for $40.
a. Let x indicate the number of pair of shoe produced. Develop a mathematical model for the total cost of producing x pair of shoes.
b. Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoe.
c. How large must the shoe order be before O'Neill will break even?