A car-assembly plant makes sedans and SUVs. Each sedan gives a profit of $500, while each SUV gives a profit of $800. They can sell at most 550…
A1. A car-assembly plant makes sedans and SUVs. Each sedan gives a profit of $500, while each SUV gives a profit of $800. They can sell at most 550 sedans. Each vehicle spends time on three operations as follows. SUVs must comprise at least 40% of the total number of vehicles made. Formulate and solve the linear programming problem.
A2. Suppose that a kilogram of beef contains 600 grams of protein, and 80 grams of fat, but no Vitamin C. A litre of orange juice contains 6 grams of protein, no fat, and four times the required daily intake of Vitamin C. A person needs 54 grams of protein per day, and the fat should be between 10 and 60 grams per day. No more than 95% of the protein consumed should come from beef. A kilogram of beef costs $6, while a litre of orange juice costs $2. Based on these two foods alone, and only the stated requirements, we seek the minimum cost daily diet. Formulate and solve by Excel.
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