Question

A company that manufactures hiking boots produces 100 pairs of boots each day. The total daily production costs are $8,300, which include the cost of producing the boots plus $300 of fixed costs per day. Which of the following equations represents the daily production cost based on the number of pairs of boots manufactured?

(Let C(x) represent the daily production cost and x represent the number of pairs of boots manufactured.)

Answer 1

C(x) = $83x + $300

Explanation:

C(x) = cost of producing the boots + fixed costs per day

100 pairs of boots are produced each day, and the total daily production cost is $8,300, therefore,

Cost per pair of boots = Total daily production cost / Number of pairs of boots manufactured per day

= $8,300 / 100

= $83/pair

The fixed costs per day are given as $300.

x = # of pairs of boots manufactured

C(x) = $83x + $300

Therefore, the equation that represents the daily production cost based on the number of pairs of boots manufactured is C(x) = $83x + $300