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A business manufactures four products (A, B, C, D), each requiring a number of input materials for production. Information on each of the products, including

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A business manufactures four products (A, B, C, D), each requiring a number of input materials for production. Information on each of the products, including selling price and profit margin per unit, demand per week, and the number of each input required to produce one unit of product is provided below. Product Products Product ProductD Selling Price $ 125 $ 135 $ 150 $ 175 Variable Cost $ 60 $ 65 $ 90 $ 95 = Profit Margin/Unit $ 65 $ 70 $ 60 $ 80 Demand 60 70 25 45 Number of input materials required for each unit of production Input Material Cross-beams Butterfly clamps Stabilizing brackets Articulating hinges 1 ProductA Products Product ProductD 1 2 2 16 20 24 28 9 10 12 15 2 6 6 6 Total Required 270 4,220 2,215 960 Total Available 400 12,000 1,495 1,200 It has been found that the business does not have enough stabilizing brackets to meet the full demand for all four products and must, thus, find the "product mix" that maximizes profit. Please find the optimal product mix. How many units of Product D will the optimal product mix include

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