Set Up the Linear Programming Problem

question 41

Multiple Choice

Set up the linear programming problem.
-A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and anounce of potatoes for $0.02. The dietician is bound by the following constraints.∙ Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.∙ Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.∙ The minimum daily requirements for the patients under the dietitianʹs care are 45 grams of protein and 58grams of carbohydrates.Let x = the number of ounces of chicken and y = the number of ounces of potatoes purchased per patient.Write a system of inequalities that describes these constraints.

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Definitions:

Utilities Possibilities Frontier

A concept in economics that represents all possible allocations of utility or satisfaction among different goods and services for a particular consumer or society, graphically.

Efficient

A state of productivity in which resources are used in the most cost-effective way without waste, achieving the highest possible output from a given input.

Equitable

Characterized by fairness or impartiality; just and right in considering the rights and responsibilities of all parties involved.

Efficiency

The extent to which resources are used optimally to achieve the desired output, often maximizing productivity while minimizing waste.