Supplement 2 solutions.doc

10 e 110x 1 l 1 d 1 0 110 x 1 110 x 2 l 2 d 2 0 110 x

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= 10 E 0 - 1/10X 1 + L 1 - D 1 = 0 1/10 X 1 - 1/10 X 2 + L 2 - D 2 = 0 1/10 X 2 - 1/10 X 3 + L 3 - D 3 = 0 1/10 X 3 - 1/10 X 4 + L 4 - D 4 = 0 X i , Y i , E i , D i > 0
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6. ABC COMPANY a. Total Cost Expression TC/yr. = $2 (X 1 + X2 + X3 + X4) + $3 (Y 1 + Y 2 + Y 3 + Y 4 ) + $2 (I 1 + I 2 + I 3 + I 4 ) + $1,600 (H 1 + H 2 + H 3 + H 4 + F 1 + F 2 + F 3 + F 4 ) + $2 (S 1 + S 2 + S 3 + S 4 ) Where: X 1 = Regular production in Quarter 1 Y 1 = Overtime production in Quarter 1 I 1 = Ending inventory in Quarter 1 H 1 = No. hired in Quarter 1 F 1 = No. fired in Quarter 1 S 1 = Slack regular time production in Quarter 1 E 1 = Number of employees in Quarter 1 (Etc.) b. Minimize: 2 (X 1 + X 2 + X 3 + X 4 ) + 3 (Y 1 + Y 2 + Y 3 + Y 4 ) + 2 (I 1 + I 2 + I 3 + I 4 ) + 2 (S 1 + S 2 + S 3 + S 4 ) + 1,600 (H 1 + H 2 + H 3 + H 4 + F 1 + F 2 + F 3 + F 4 ) Subject To: I 0 + X 1 + Y 1 - I 1 = 9,000 I 1 + X 2 + Y 2 -I 2 = 12,000 I 2 + X 3 + Y 3 -I 3 = 16,000 I 3 + X 4 + Y 4 -I 4 = 12,000 E 0 = 12 1,000 E 1 - X 1 - S 1 = 0 1,000 E 2 - X 2 - S 2 = 0 1,000 E 3 - X 3 - S 3 = 0 1,000 E 4 - X 4 - S 4 = 0 E 0 - E 1 + H 1 - F 1 = 0 E 1 - E 2 + H 2 - F 2 = 0 E 2 - E 3 + H 3 - F 3 = E 3 - E 4 + H 4 - F 4 = 0 I 4 1,000 I 0 = 1,000 Y 1 - 250 E1 0 Y 2 - 250 E 2 0 Y 3 - 250 E 3 0 Y 4 - 250 E 4 0
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7. BOSTON PAINT COMPANY a. Linear Programming Model Assume 2,400/600 = 4 units / person / quarter Let: X 1 = Regular production during Quarter 1 Y 1 = Overtime production during Quarter 1 I 1 = Ending inventory Quarter 1 H 1 = Number hired in Quarter 1 F 1 = Number fired in Quarter 1 E 1 = Number of employees in Quarter 1 S 1 = Slack regular production during Quarter 1 (Etc.) Minimize: 20*(I 1 + I 2
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  • Spring '11
  • shafaat
  • y1, G protein coupled receptors, All wheel drive vehicles, London, Brighton and South Coast Railway locomotives, D. E. Marsh

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