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
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
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 68SE: The top three oil producers in the United States in a certain year are the Gulf of Mexico, Texas,...
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Transcribed Image Text:Four foods X1, X2, X3, and X4 are to be produced. X, 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. X, 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 =
3
or 1.5, X2 = 0, X3 = 0, X4
= 4, Minimum: 660
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