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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
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 $1000 for the production setup. The variable cost is $40 per pair, and each pair sells for $60.
- Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost of producing x pairs of shoes. Express your answer in terms of x. TC =
- Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. Express your answer in terms of x. P =
- How large must the shoe order be before O'Neill will break even? Round your answer to the nearest whole number. x =
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