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HW2_Sol

HW2_Sol - E160 Operations Research I Fall 2008 Homework#2...

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E160 Operations Research I Fall 2008 Homework #2 Solution Chapter 12 Section 12.2 1. Let S = soap opera ads and F = football ads. Then we wish to min z = 50S + 100F st 5S 1/2 + 17F 1/2 40 (men) 20S 1/2 + 7F 1/2 60 (women) S 0, F 0 9.Let Wi = number of widgets produced at plant I. max 10*(W1+W2)-20*W1^.5-40*W2^.333; s.t. W1<70; W2<70; W1+W2<120; W1>.01; W2>.01; 11. We let TIME and TEMPER be original values of variables, and T and TEMP be normalized values. variable names. max - 1.4 * T + .4 * TEMP - 2.2 * T ^ 2 - 3.2 * TEMP ^ 2 - 4.9 * T * TEMP ; s.t T = ( TIME - 90 ) / 10 ; TEMP = ( TEMPER - 150 ) / 5 ; TIME >= 60 ; TIME <= 120 ; TEMPER >= 100 ; TEMPER <= 200 ; 12. Let G = barrels of gas produced (with original oils) and sold, HO = barrels of heating oil produced (with original oils) and sold, AG = dollars spent advertising gas, AHO = dollars spent advertising heating oil, Gi = barrels of oil i used to make gas, HOi = barrels of heating oil i used to make heating oil, SQG = barrels of SQ added to gas, SQHO = barrels of SQ added to heating oil. SQ = barrels of SQ added. max 25*G+20*HO-20*SQ-AG-AHO+25*SQG+20*SQHO;

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HW2_Sol - E160 Operations Research I Fall 2008 Homework#2...

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