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

Question

Reina

Mathematics

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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Answers (1)

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Dearey · Answer 1

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