HW_Ex_Ch2_model

HW_Ex_Ch2_model - 1 , x 2 0 (b) 2 MAT540 Example Problem...

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MAT540 Example Problem Solutions Chapter 2 – Linear Programming: Model Formulation and Graphical Solution 1.(a) x 1 = # cakes x 2 = # loaves of bread maximize Z = $10x 1 + 6x 2 subject to: 3x 1 + 8x 2 ≤ 20 cups of flour 45x 1 + 30x 2 ≤ 180 minutes x 1 , x 2 ≥ 0 3.(a) x 1 = ounces of oats x 2 = ounces of rice minimize Z = .05x 1 + .03x 2 (cost, $) Subject to: 8x 1 + 6x 2 ≥ 48 (Vitamin A, mg) x 1 + 2x 2 ≥ 12 (Vitamin B, mg) x 1 , x 2 ≥ 0 1
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MAT540 Example Problem Solutions 9.(a) x 1 = cakes x 2 = Danish maximize Z = x 1 + 5x 2 (profit, $) subject to: 5x 1 + 5x 2 ≤ 25 (flour, lb) 2x 1 + 4x 2 ≤ 16 (sugar, lb) x 1 ≤ 5 (demand for cakes) x 1 , x 2 ≥ 0 11.(a) maximize Z = 3x 1 + 6x 2 subject to: 3x 1 + 2x 2 ≤ 18 x 1 + x 2 ≥ 5 x 1 ≤ 4 x
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Unformatted text preview: 1 , x 2 0 (b) 2 MAT540 Example Problem Solutions 13.(a) x 1 = # necklaces x 2 = # bracelets maximize Z = 300x 1 + 400x 2 (profit, $) subject to: 3x 1 + 2x 2 18 (gold, oz) 2x 1 + 4x 2 20 (platinum, oz) x 2 4 (demand, bracelets) x 1 , x 2 0 3 MAT540 Example Problem Solutions 36. (a) x 1 = # of hours mine 1 x 2 = # of hours mine 2 minimize Z = 200x 1 + 160x 2 (cost, $) subject to 6x 1 + 2x 2 12 (high grade ore, tons) 2x 1 + 2x 2 8 (medium grade ore, tons) 4x 1 + 12x 2 24 (low grade ore, tons) x 1 , x 2 0 4...
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HW_Ex_Ch2_model - 1 , x 2 0 (b) 2 MAT540 Example Problem...

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