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The Acme Company produces four types of widgets: A, B, C and D. The profit per widget and the resource usage of each type of

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The Acme Company produces four types of widgets: A, B, C and D. The profit per widget and the resource usage of each type of widget is given in the table below: B C D Widget Type profit ($) 10 Labor (hrs) 2 15 7 8 3 1.5 1 Material (lbs)3 2.5 5 Water (gallons) 10 12 8 9 There are 100 hours of labor, 500 lbs of material and 1000 gallons of water available. If the goal is to maximize the total profit then the objective function is: (the variables A, B,C & D are the number of widgets of each type produced) min 10A + 12B + 8C + 9D min 10A + 15B + 7C + 8D max 10A + 15B + 7C + 8D max A + B + C + D

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