Set I solutions

# Thusmaximizingthevalueofthefirstobjectiveisequivalentt

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Unformatted text preview: he edge connecting these extreme points. This is true of all LP models with alternate optimal solutions. 4. The objectives are equivalent. For any values of X1 and X2, the absolute value of the objectives are the same. Thus, maximizing the value of the first objective is equivalent to minimizing the value of the second objective. 5. a. linear b. nonlinear c. linear, can be re‐written as: 4 X1 ‐ .3333 X2 = 75 d. linear, can be re‐written as: 2.1 X1 + 1.1 X2 ‐ 3.9 X3 0 e. nonlinear 12. 13. X1 = number of generators, X2 = number of alternators MAX 250 X1 + 150 X2 ST 1 X1 + 2 X2 140 2 X1 + 3 X2 260 X1, X2 0 16. X1 = tons of ore purchased from mine 1, X2 = tons of ore purchased from mine 2 (cost) MIN 90 X1 + 120 X2 (copper) ST 0.2 X1 + 0.3 X2 > 8 0.2 X1 + 0.25 X2 > 6 (zinc) 0.15 X1 + 0.1 X2 > 5 (magnesium) 19. X1, X2 0 R = number of Razors produced, Z = number of Zoomers produced MAX 70 R + 40 Z ST R + Z 700 R – Z 300 2 R + 1 Z 900 3 R + 4 Z 2400 R, Z 0 22. 23. D = number of doors produced, W = number of windows produced MAX 500 D + 400 W ST 1 D + 0.5 W 40 0.5 D...
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