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JW Solutions to Extra Examples

# JW Solutions to Extra Examples - ITIS 1P97 Walker Section 3...

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ITIS 1P97 – Walker Section 3 & Section 4 Fall 2010 Problem #1 : Linear Programming (LP) Solution using Excel – ABC Manufacturing Co. Maximize Z = 12X 1 + 4X 2 Subject to: X 1 + 2X 2 800 X 1 + 3X 2 600 2X 1 + 3X 2 2000 X 1 0 X 2 0 Problem #2 : LP – Well-Balanced Dog Diet Minimize Z = .45X A + .38X B + .27X C Subject to: .62X A + .55X B + .36X C 1/2 .05X A + .1X B + .2X C 1/16 .03X A + .02X B + .01X C 1/32 X A 0, X B 0, X C 0 Problem #3 : LP – Transportation Problem Maximize Z = 4X 11 + 4X 12 + 3X 13 + 5X 21 + 5X 22 + 4X 23 Subject to: X 11 + X 12 + X 13 100 X 21 + X 22 + X 23 200 X 11 + X 21 150 X 12 + X 22 200 X 13 + X 23 350 X ij 0 for all i and j. Problem #4 : LP – ICT Investment Decision Maximize Z = .07X 1 + .11X 2 + .19X 3 + .15X 4 Subject to: X 1 1,000,000 X 2 2,500,000 X 3 1,500,000 X 4 1,800,000 X 3 + X 4 .55 (X 1 + X 2 + X 3 + X 4 ) .55X 1 + .55X 2 - .45X 3 - .45X 4 0 X 1 .15 (X 1 + X 2 + X 3 + X 4 ) .85X 1 - .15X 2 - .15X 3 - .15X 4 0 X 1 + X 2 + X 3 + X 4 5,000,000 X j 0 for all j. Page 1 of 2 Pages

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ITIS 1P97 – Walker Section 3 & Section 4 Fall 2010 Problem #5 : LP – Welland Hospital Minimize Z = 100 (x 1 + x 2 ) + 150 (x
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JW Solutions to Extra Examples - ITIS 1P97 Walker Section 3...

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