lecture12

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online