HW_Ex_Ch2_solver

HW_Ex_Ch2_solver - x 1 ≤ 5(demand for cakes x 1 x 2 ≥ 0...

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Ex2-1 Page 1 Exercise #2-1 Baked items Cakes Breads Sale price: 10 6 Constraints Available Usage Left Over Flour (cups) 3 8 20 12 8 Oven time (minutes) 45 30 180 180 0 bake: Cakes = 4 Breads = 0 Total sales = $40.00 subject to: x 1 = # cakes x 2 = # loaves of bread maximize Z = $10x 1 + 6x 2 3x 1 + 8x 2 ≤ 20 cups of flour 45x 1 + 30x 2 ≤ 180 minutes x 1 , x 2 ≥ 0
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Ex2-3 Page 2 Exercise #2-3 Ingredients: Oats Cereal Cost per ingredient: 0.05 0.03 Requirements: Required Usage Excess Vitamin A (mg) 8 6 48 48 0 Vitamin B (mg) 1 2 12 16 4 Production: Oats = 0 ounces Rice= 8 ounces Cost= 0.24 Subject to: x 1 = ounces of oats x 2 = ounces of rice minimize Z = .05x 1 + .03x 2 (cost, $) 8x 1 + 6x 2 ≥ 48 (Vitamin A, mg) x 1 + 2x 2 ≥ 12 (Vitamin B, mg) x 1 , x 2 ≥ 0
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Ex2-9 Page 3 Exercise #2-9 Products Cakes Danishes Profit per item: 1 5 Resources: Available Usage Left over Flour (lb) 5 5 25 20 5 Sugar (lb) 2 4 16 16 0 Demand (cakes) 1 0 5 0 5 Production: Cakes= 0 Danishes= 4 Profit= 20 subject to: x 1 = cakes x 2 = Danish maximize Z = x 1 + 5x 2 (profit, $) 5x 1 + 5x 2 ≤ 25 (flour, lb) 2x 1 + 4x 2 ≤ 16 (sugar, lb)
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Unformatted text preview: x 1 ≤ 5 (demand for cakes) x 1 , x 2 ≥ 0 Ex2-11 Page 4 Exercise #2-11 Items: 1 2 Profit per item: 3 6 Resources: Available Usage Left over 1 3 2 18 18 2 1 1 5 9 4 3 1 4 4 Production: 1= 2= 9 Z= 54 subject to: maximize Z = 3x 1 + 6x 2 3x 1 + 2x 2 ≤ 18 x 1 + x 2 ≥ 5 x 1 ≤ 4 x 1 , x 2 ≥ 0 Ex2-13 Page 5 Exercise #2-13 Products Necklaces Bracelets Profit per item: 300 400 Resources: Available Usage Left over Gold (oz) 3 2 18 18 Platinum (oz) 2 4 20 20 Demand (bracelets) 1 4 3 1 Production: Necklaces= 4 Bracelets= 3 Profit= 2,400 subject to: x 1 = # necklaces x 2 = # bracelets maximize Z = 300x 1 + 400x 2 (profit, $) 3x 1 + 2x 2 ≤ 18 (gold, oz) 2x 1 + 4x 2 ≤ 20 (platinum, oz) x 2 ≤ 4 (demand, bracelets) x 1 , x 2 ≥ 0...
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HW_Ex_Ch2_solver - x 1 ≤ 5(demand for cakes x 1 x 2 ≥ 0...

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