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5 September, 21:34

The cost in dollars to manufacture x pairs of shoes is given by 12,000+19x. This month, the manufacturer produced 1000 more pairs of shoes than last month. The average cost per pair dropped by $0.43.

Write an expression for the average cost per pair of shoes.

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  1. 6 September, 00:09
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    The expression for the average cost per pair of shoes is;

    12000 / (1000+x) + 19 = 12000/x + 19 - 0.43

    Cost per pair of shoe is $21.067

    Step-by-step explanation:

    Here we have cost of x pair of shoes = 12000 + 19x

    Therefore the average cost = 12000/x + 19

    When x + 1000 is produced we have

    x + 1000 = 12000 + 19 (1000+x)

    Therefore average cost = 12000 / (1000+x) + 19

    Therefore 12000 / (1000+x) + 19 = 12000/x + 19 - 0.43

    Therefore x = 4806.315 and we have

    5806.3 = cost $ 122320

    Which gives the cost per pair = $21.067.
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