Solutions for Formulation Problems

Solutions for Formulation Problems - Solutions for...

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Solutions for Formulation Problems 1. X 1 = # pr men's, X 2 = # pr women's 6. X b = # loaves bread, X c = # cakes, X p = # pizzas Max P = $1X 1 + $1.20X 2 Max P = $0.75X b + $2X c + $2.50X p Subject to: Subject to: 2X 1 + 3X 2 960 (min) 1X b + 5X c +3X p 150 2X 1 + 1X 2 480 (min) 1X b + 2X c + 2X p 90 X 1 , X 2 0 2X b + 1X c + 1X p 150 X p 3X c 2. METHOD 1 X b 3X c X 1 = hrs on line 1, X 2 = hrs on line 2 X b , X c , X p 0 Min C = $8X 1 + $5X 2 Subject to: 7. X i = # of servings of i (i = a, f, p, s, or ic) 4X 1 + 5X 2 = 1000 Max P = 1X a + 3X f + 7X p + 8X s + 15X ic X 1 200 Subject to: X 2 170 50X a + 200X f + 120X p + 70X s + 500X ic 5000 X 1 , X 2 0 X s 5 METHOD 2 X ic 1 Y 1 = # valves line 1, Y 2 = # valves line 2 X f 2X p Min C = $2Y 1 + $1Y 2 X a 4 Subject to: X a , X f , X p , X s , X ic 0 Y 1 + Y 2 = 1000 Y 1 800 8. X 1 = # units prod. 1, X 2 = # units prod. 2 Y 2 850 Max P = $80X 1 +$60X 2 Y 1 , Y 2
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Solutions for Formulation Problems - Solutions for...

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