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16 February, 01:33

Shaki makes and sells backpack danglies. The total cost in dollars for Shaki to make q danglies is given by c (q) = 75+2q+0.015q^2. Find the quantity that minimizes Shaki

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  1. 16 February, 01:52
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    Minimum quantity = q = 70.71units

    Step-by-step explanation:

    Give c (q) = 75+2q+0.015q^2

    but average cost A (q) = c (q) / q

    A (q) = 75/q + 2 + 0.015q

    for minimum cost, differentiate A (q) wrt q

    = - 75/q2 + 0.015 = 0

    q2 = 5000

    q = 70.71units
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