Set Up the Linear Programming Problem

question 105

Multiple Choice

Set up the linear programming problem.
-Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 5 hours to makea hat and 3 hours to make an afghan, and she has no more than 54 hours available. She has material for nomore than 14 items, and she wants to make at least two afghans. Let x = the number of hats she makes andy = the number of afghans she makes. Write a system of inequalities that describes these constraints.

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Definitions:

Variable Costs

Costs that change in proportion to the level of production or activity, such as materials and labor.

Sales

The transactions involving the exchange of goods or services for money.

Contribution Margin Ratio

A financial metric that measures how much of a company's revenue is left over after variable costs to cover fixed costs and generate profit.

Fixed Costs

Fixed costs are business expenses that remain constant regardless of the level of production or sales, such as rent, salaries, and insurance premiums.