Set Up the Linear Programming Problem

question 185

Multiple Choice

Set up the linear programming problem.
-An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost$9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 squarefeet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feetof floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get freedelivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.Write a system of inequalities that describes these constraints.

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Definitions:

Fixed Costs

Expenses that do not change with the volume of production or sales, such as rent and salaries.

Net Income

The amount of profit remaining after all operating expenses, taxes, and interest have been deducted from total revenue.

Variable Cost

Charges that directly correlate with the amount of goods produced or the level of output.

Fixed Costs

Expenses that do not change with an increase or decrease in the number of goods or services produced, such as rent, salaries, and insurance.