Four foods X₁, X₂, X3, and X4 are to be produced. X₁ contains 2 calories, no vitamin, and costs P40 per unit. X₂ contains no calorie, 2 units of vitamins, and costs P100 per unit. X3 contains 1 unit of calorie, 1 unit of vitamin, and costs P120 per unit. X4 contains 3 units of calories, 2 units of vitamins, and costs P150 per unit. The minimum calorie requirements is 15 units and the minimum vitamin requirements is 8 units. How much of each food should be produced to satisfy these requirements and to minimize the total cost? Answers: X₁ = = or 1.5, X₂ = 0, X3 = 0, X4 = 4, Minimum: 660 3

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