MGM 315 3-24-16 Classwork - << binary 45000 Money 420...

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Product Line Initial InvestmentFloor Space Exp. Rate of Return TV/VCR (1) 6000 125 8.1 X1 Color TV (2) 12000 150 9 X2 Projection TV (3) 20000 200 11 X3 VCR (4) 14000 40 10.2 X4 DVD (5) 15000 40 10.5 X5 Video Games (6) 2000 20 14.1 X6 Home Computers (7 32000 100 13.2 X7 45000 to invest and 420 square feet (floor space) Maximize its overall expected return constraints: Stock 1 should not stock projection TVS unless they stock either TV/VCRs or color TV Stock 2 will not stock both VCRs and DVD players Stock 3 will stock video games if they stock color TVs Stock 4 introduce at least 3 new product lines Maximize .081(6000)X1+.09(12000)X2+.11(20000)X3+.102(14000)X4+.105(15000)X5+.141(20 s.t. 6X1+12X2+20X3+14X4+15X5+2X6+32X7<=45 Money 125X1+150X2+200X3+40X4+40X5+20X6+10X7<=4 Space X1+X2>=X3 Goes to >>> X1+X2-X3>=0 Stock 1 X4+X5<=1 Stock 2 X2-X6>=0 Stock 3 X1+X2+X3+X4+X5+X6+X7>=3 Stock 4 Initial investment * rate of return
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X1 X2 X3 X4 X5 X6 X7 Maximize 1 0 1 0 1 0 0 >> 486 1080 2200 1428 1575 282 4224 objective 4261 S.t 6000 12000 20000 14000 15000 2000 32000 41000 <= 125 150 200 40 40 20 100 365 <= 1 1 -1 0 >= 1 1 1 <= 1 -1 0 >= 1 1 1 1 1 1 1 3 >= 000)X6+.132(32000)X7
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Unformatted text preview: << binary 45000 Money 420 Space 0 Stock 1 1 Stock 2 0 Stock 3 3 Stock 4 Additve 1 Additve2 Additve 3 R1 0.4 0.5 0.6 R2 0.2 0.1 R3 0.6 0.3 0.3 40 30 50 Maxmize profTs MAX 40X1+30X2+50X3 S.±. .4X1+.5X2+.6X3<=20 .2X2+.1X3<=5 .6X1+.3X2+.3X3<=21 SE±UP COS± CAPACI±Y ADDI±IVE 1 200 50 ADDI±IVE 2 50 25 ADDI±IVE 3 400 40 MAX 40X1+30X2+50X3-200S1-50S2-400S3 S.± .4X1+.5X2+.6X3<=20 .2X2+.1X3<=5 .6X1+.3X2+.3X3<=21 X1-50S1<=0 Binary X2-25S2<=0 X3-40S3<=0 20 5 21 << NEW PART OF THE PROBLEM Problem with the new constraints 25.000000345 19.999999724 40 30 50 0.4 0.5 0.6 0.2 0.1 0.6 0.3 0.3 1 1 1 27.5 15 40 30 50 1850 0.4 0.5 0.6 20 <= 20 0.2 0.1 1.5 <= 5 0.6 0.3 0.3 21 <= 21 Binary 1 1-200-50 -400 OBJECTIVE 1350.0000055 << nonlinear 20 <= 20 3.9999999448 <= 5 21.000000124 <= 21-50-24.999999655 <=-25-5.000000276 <=-40 0 <= CH 7 8 9 12 21 23 24 Start 2nd case Due in about 2 weeks Exam 2 In 2 weeks...
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