Use Linear Programming to Solve Problems
-Mrs $\$ 21$ Each and the Afghans For

question 9

Multiple Choice

Use Linear Programming to Solve Problems
-Mrs. White wants to crochet hats and afghans for a church fundraising bazaar. She needs 6 hours to make a hat and 4 hours to make an afghan, and she has no more than 66 hours available. She has material for no more than 14 items and no more than 10 afghans. The bazaar will sell the hats for $\$ 21$ each and the afghans for $\$ 5$ each. How many of each should she make to maximize the income for the bazaar? What is the maximum income?

• A) 5 hats and 9 afghans; \(\$ 150\)
• B) 9 hats and 5 afghans; \(\$ 214\)
• C) 10 hats and 4 afghans; \(\$ 230\)
• D) 7 hats and 7 afghans; \(\$ 182\)

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Definitions:

Economically Efficient

A state in which resources are allocated in a way that maximizes the production of goods and services at the lowest cost, achieving optimal distribution of resources.

Pork-barrel Projects

Government projects or appropriations yielding benefits to a narrow constituency in return for political support, often criticized as wasteful public spending.

Federal Government

The central government of a federation, possessing authority over national issues, and comprising of executive, legislative, and judicial branches.

Representative Democracy

A type of democracy wherein citizens elect officials to represent their interests and make legislative decisions on their behalf, rather than making those decisions directly.