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categoryهندسة صناعية وإنتاج schoolبكالوريوس event_available2026-07-13

السؤال

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Eli Daisy manufacturers two drugs in Los Angeles and Indianapolis. The following table summarizes the cost of producing one pound of each drug and the machine time (in hours) required to produce one pound of each drug at each city. Drug 1 Cost (in dollars) Indianapolis Los Angeles 4.20 4.00 Drug 1 Time (in hours) 0.2 0.25 Drug 2 Cost (in dollars) 4.80 5.20 Drug 2 Time (in hours) 0.4 0.3 Eli Daisy needs to produce at least 1,000 pounds of drug 1 and 2,000 pounds of drug 2 per week. The company has 500 hours per week of machine time in Indianapolis and 450 hours per week of machine time in Los Angeles. Formulate an LP to determine the production plan that minimizes the cost of producing the needed drugs. Using What'sBest to solve the LP, we obtain that in order to minimize the total production cost, Eli Daisy should produce 0 pounds of drug 1 and pounds of drug 2 in drug 1 and ✓ pounds of drug 2 in Los Angeles. The ☑. ☑ pounds of Indianapolis, and minimum total production cost is $

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