Formulate but Do Not Solve the Following Exercise as a Linear

question 46

Multiple Choice

Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. He has decided that the meals should contain a minimum of 400 mg of calcium, 9 mg of iron, and 35 mg of vitamin C. He has further decided that the meals are to be prepared from foods A and B. Each ounce of food A contains 35 mg of calcium, 1 mg of iron, 3 mg of vitamin C, and 3 mg of cholesterol. Each ounce of food B contains 25 mg of calcium, 0.6 mg of iron, 7 mg of vitamin C, and 7 mg of cholesterol. Find how many ounces of each type of food should be used in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met.

• A) Minimize: Subject to:
• B) Minimize: Subject to:
• C) Minimize: Subject to:
• D) Minimize: Subject to:

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Definitions:

Activity Levels

The degree of operations or production volume within a specific period, affecting costs and decision-making in businesses.

Variable Cost

Costs that fluctuate in direct proportion to production or sales figures, including items like direct labor and raw materials.

Mixed Costs

Expenses comprising both fixed and variable components, changing in total with the level of activity but not proportionately.

Merchandising Firm

A business that purchases finished goods for resale in order to make a profit, differentiating itself from manufacturing firms and service firms.