math final 2007 fall

3 11 no relative minimum point 4 3x x 2 f x 0 at x 2

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Unformatted text preview: um point is 4 , 329 . 14. (a) P x Rx Cx Cx Rx Px 0.08 x 2 7 x 80 C ( x) 0.04 x 2 6.4 x 360 x 0 (the cost function) (b) C ( x) 0.08 x 6.4 0.08 x 80 C (10) 0 and C 90 0 C (80) 0.04 80 2 6.4 80 0.12 x 2 13.4 x 280 C x 0 at x 80 The (absolute) minimum value occurs at x 80 . 360 104 The minimum cost is $104.00 when 80 units are sold. 15. (a) x 2 3x 1 dx (b) Let u 3x 3 x 2 dx x 2 6 x 10 x 2 6 x 10 3 x 3 dx du 3 1 x4 4 2 x 6 dx u 3 1 du 2 1 2 3 x4 1 x3 C 3 4 1 du x 3 dx 2 1u 2 2 C 1 4 1 x3 3 C 1 x 2 6 x 10 2 C...
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