A dietitian prepares a special diet using two food groups, A and B. Each ounce of food in group A contains 3 units of vitamin C and 1 unit of vitamin D. Each ounce of food group B contains 1 unit of vitamin C and 2 units of vitamin D. The minimum daily requirements with this diet are at least 9 units of vitamin C and at least 8 units of vitamin D. Each ounce of food group A costs 50 cents, and each ounce of food group B costs 30 cents.  a) List the constraints.  b) Determine the objective function for minimizing cost.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
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A dietitian prepares a special diet using two food groups, A and B. Each ounce of food in group A contains 3 units of vitamin C and 1 unit of vitamin D. Each ounce of food group B contains 1 unit of vitamin C and 2 units of vitamin D. The minimum daily requirements with this diet are at least 9 units of vitamin C and at least 8 units of vitamin D. Each ounce of food group A costs 50 cents, and each ounce of food group B costs 30 cents. 

a) List the constraints. 

b) Determine the objective function for minimizing cost.

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