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UL 4 MANUFACTURING A manufacturers total cast is C(q) = 0.12% - 0.592 + 5000 + 200 dollars when a thousand units are produce

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Answer #1

C= 0.1q3 -0.5q2 +500q +200

When q=4000 ,that means q=4 thousand C = 0.1(4)3 - 0.5(4)2 + 500(4)+ 200

= 6.4 - 8 + 2000 +200 = $2198.4 thousand

When q=4100 , that means q=4.1 thousand . So, C = (0.1)(4.1)3 - 0.5(4.1)2 + 500(4.1) + 200

= 6.89 - 8.4 +2050 +200 = $2248.49 thousand

Because of change in quantity from 4000 to 4100 units, cost increases by $(2248.9-2198.4)= $50.09 thousand.

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