The O'Neill Shoe Manufacturing Company will produce a special$-$style shoe if the order size is large enough to provide a reasonable profit. For each special$-$style order, the company incurs a fixed cost of $$2000$ for the production setup. The variable cost is $$60$ per pair, and each pair sells for $$80.$ How large must the shoe order be before O'Neill 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. $C(x)=2000+60x$

b$.$ Let $P$ indicate the total profit. Develop a mathematical model for the total profit realized from an order for $x$ pairs of shoes. $P(x)=2000+60(80)$

c$.$ What is the breakeven point?