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The estimated short-run cost function of a Japanese beer manufacturer is C(q) = 0.4915. 1.000 At what positive quantity does
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Answer #1

Before tax :

AC(q) = C/q = .4√q + 1000/q​​​​​​2

dAC/dq= .2/√q -2000/q​​​​​​3 = 0

.2/√q = 2000/q​​​​​​3

q​​​​​​2.5 = 10,000

1) q = 39.811 units

Due to tax , AC will rise by 500

so New AC, AC'(q) = AC(q) + 500

2) at cost minimization, dAC'(q)/dq = 0

q= 39.811 units

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