Breakeven and Linear Programming $($LP$)$ Examples:$1.$ Shoe Manufacturing Example The ONeill Shoe Manufacturing Company will produce a special$-$style shoe if the order size is large enough to provide a reasonable profit. The company incurs a fixed cost of $$2000$ for each special$-$style order for the production setup. The variable cost is $$60$ per pair, and each pair sells for $$80.$ How large must the shoe order be before ONeill will break even? $[15$ points$\}$a$.$ Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost of producing shoe repairs. b$.$ Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. c$.$ What is the breakeven point?