A diet is to contain at least 8 units of vitamins, 9 units of minerals, and 10 calories. Three foods, Food A, Food B, and Food C are to be purchased. Each unit of Food A provides 1 unit of vitamins, 1 unit of minerals, and 2 calories. Each unit of Food B provides 2 units of vitamins, 1 unit of minerals, and 1 calorie. Each unit of Food C provides 2 units of vitamins, 1 unit of minerals, and 2 calories. If Food A costs P30 per unit, Food B costs P20 per unit and Food C costs P30 per unit, how many units of each food should be purchased to keep costs at a minimum?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A diet is to contain at least 8 units of vitamins, 9 units of minerals, and 10 calories. Three
foods, Food A, Food B, and Food C are to be purchased. Each unit of Food A provides 1
unit of vitamins, 1 unit of minerals, and 2 calories. Each unit of Food B provides 2 units of
vitamins, 1 unit of minerals, and 1 calorie. Each unit of Food C provides 2 units of
vitamins, 1 unit of minerals, and 2 calories. If Food A costs P30 per unit, Food B costs
P20 per unit and Food C costs P30 per unit, how many units of each food should be
purchased to keep costs at a minimum?
3.
Transcribed Image Text:A diet is to contain at least 8 units of vitamins, 9 units of minerals, and 10 calories. Three foods, Food A, Food B, and Food C are to be purchased. Each unit of Food A provides 1 unit of vitamins, 1 unit of minerals, and 2 calories. Each unit of Food B provides 2 units of vitamins, 1 unit of minerals, and 1 calorie. Each unit of Food C provides 2 units of vitamins, 1 unit of minerals, and 2 calories. If Food A costs P30 per unit, Food B costs P20 per unit and Food C costs P30 per unit, how many units of each food should be purchased to keep costs at a minimum? 3.
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