The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A and 30 units of vitamin C. Now, suppose that dietary drink X costs P120 per cup and drink Y cost P150 per cup. How many cups of each drink should be consumed each day to minimize the cost and still meet the stated daily requirements? What is the minimum cost?
The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A and 30 units of vitamin C. Now, suppose that dietary drink X costs P120 per cup and drink Y cost P150 per cup. How many cups of each drink should be consumed each day to minimize the cost and still meet the stated daily requirements? What is the minimum cost?
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A and 30 units of vitamin C. Now, suppose that dietary drink X costs P120 per cup and drink Y cost P150 per cup. How many cups of each drink should be consumed each day to minimize the cost and still meet the stated
daily requirements? What is the minimum cost?
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