lecture12 - Cars and Trucks truck assembly How sensitive is...

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e62: lecture 12 25/10/10 Cars and Trucks 1 thousands of cars thousands of trucks max 3 x 1 +2 . 5 x 2 proft s . t . 4 . 44 x 1 100 auto assembly 6 . 67 x 2 100 truck assembly 4 x 1 . 86 x 2 100 metal stamping 3 x 1 +6 x 2 100 engine assembly x 1 0 x 2 0 car assembly truck assembly metal stamping engine assembly c x 1 (thousands of cars) x 2 (thousands of trucks) 4 x * 1 . 86 x * 2 = 100 3 x * 1 x * 2 = 100 x * = 20 . 4 6 . 5 cx * = 77 . 3 e62: lecture 12 25/10/10 Sensitivity 2 c x 2 (thousands of trucks) How sensitive is proft to metal stamping capacity? Derivative oF proft with respect to capacity e62: lecture 12 25/10/10 Sensitivity 3 resource sensitivity auto assembly 0 truck assembly 0 metal stamping 0.681 engine assembly 0.092 max 3 x 1 . 5 x 2 proft s . t . 4 . 44 x 1 100 auto assembly 6 . 67 x 2 100 truck assembly 4 x 1 . 86 x 2 100 metal stamping 3 x 1 x 2 100 engine assembly x 1 0 x 2 0 x * = ± 42 . 86 36 ² - 1 ± b 3 b 4 ² = ± 0 . 389 - 0 . 185 - 0 . 195 0 . 259 ²± b 3 b 4 ² cx * = ± 32 . 5 ² 0 . 389 - 0 . 185 - 0 . 195 0 . 259 b 3 b 4 = ± 0 . 681 0 . 092 ² b 3 b 4 3 x * 1 x * 2 = b 4 4 x * 1 . 86 x * 2 = b 3 e62: lecture 12 25/10/10
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lecture12 - Cars and Trucks truck assembly How sensitive is...

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