A certain diet requires at least 60 units of carbohydrates, 45 units of protein, and 30 units of fat each day. Each ounce of Supplement A provides 5 units of carbohydrates, 3 units of protein, and 4 units of fat. Each ounce of Supplement B provides 2 units of carbohydrates, 2 units of protein, and 1 unit of fat. If Supplement A costs $1.50 per ounce and Supplement B costs $1.00 per ounce, how many ounces of each supplement should be taken daily to minimize the cost of the diet?
A certain diet requires at least 60 units of carbohydrates, 45 units of protein, and 30 units of fat each day. Each ounce of Supplement A provides 5 units of carbohydrates, 3 units of protein, and 4 units of fat. Each ounce of Supplement B provides 2 units of carbohydrates, 2 units of protein, and 1 unit of fat. If Supplement A costs $1.50 per ounce and Supplement B costs $1.00 per ounce, how many ounces of each supplement should be taken daily to minimize the cost of the diet?
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Question
A certain diet requires at least 60 units of
carbohydrates, 45 units of protein, and 30 units of fat each day.
Each ounce of Supplement A provides 5 units of carbohydrates,
3 units of protein, and 4 units of fat. Each ounce of Supplement B provides 2 units of carbohydrates, 2 units of protein, and 1 unit
of fat. If Supplement A costs $1.50 per ounce and Supplement B
costs $1.00 per ounce, how many ounces of each supplement
should be taken daily to minimize the cost of the diet?
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