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 $3 per unit, Food B costs $2 per unit and Food C costs $3 per unit, how many units of each food should be purchased to keep costs at a minimum?
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 $3 per unit, Food B costs $2 per unit and Food C costs $3 per unit, how many units of each food should be purchased to keep costs at a minimum?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $3 per unit, Food B costs $2 per unit and
Food C costs $3 per unit, how many units of each food should be purchased to keep costs
at a minimum?
Algebraic, simplex method
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