HW_Ex_Ch4_Solver

HW_Ex_Ch4_Solver - EX4-9 Exercise#4-9 Breakfast items Cost...

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EX4-9 Page 1 Exercise #4-9 Breakfast items: Egg Bacon Cereal Cost per item: 4 3 2 Vitamin requirements: Required A 2 4 1 16 B 3 2 1 12 Menu: Eggs= 2 Bacon strips= 3 Cereal cups= 0 Cost= 17 cents x1 = no. of eggs x2 = no. of bacon strips x3 = no. of cups of cereal minimize Z = 4x1 + 3x2 + 2x3 subject to 2x1 + 4x2 + x3 ≥ 16 3x1 + 2x2 + x3 ≥ 12 x1, x2, x3 ≥ 0
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EX4-9 Page 2 Usage Difference 16 0 12 0
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EX4-11 Page 3 Exercise #4-11 Products: Clocks Radios Toasters Profit per item: 8 10 7.00 Constraints: Available Budget ($) 7 10 5 2,000 Labor (hrs) 2 3 2 660 Demand (clocks) 1 0 0 200 Demand (radios) 0 1 0 300 Demand (toasters) 0 0 1 150 Production: Clocks= 178.57 Radios= 0 Toasters= 150.00 Profit= 2,478.57 x1 = no. of clocks x2 = no. of radios x3 = no. of toasters maximize Z = 8x1 + 10x2 + 7x3 subject to 7x1 + 10x2 + 5x3 ≤ 2,000 2x1 + 3x2 + 2x3 ≤ 660 x1 ≤ 200 x2 ≤ 300 x3 ≤ 150 x1, x2, x3 ≥ 0
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EX4-11 Page 4 Usage Left over 2,000 0 657 3 179 21.43 - 300.00 150 0.00
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Ex4-15 Page 5 Exercise #4-15 Terminal Warehouse St. Louis Atlanta New York Supply Trucks Charlotte 0 30 0 30 30 Memphis 30 0 0 30 30 Lousiville 0 0 30 30 30 Demand 40 60 50 Trucks 30 30 30 Profit= 159,000
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