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 $50. 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.

Question

Mathematics

Mollie Rodgers

1 April, 13:02

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 $50. 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.

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Answers (1)

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Sammy Lee · Answer 1

c (x) = 1000 + 40x

Step-by-step explanation:

The total cost c will be the sum of the fixed cost and the product of the variable cost per pair and the number of pairs.

c (x) = 1000 + 40x