Solve the Linear Programming Problem $\$ 2400$ , and the Average Monthly Salary of an Aide Is

question 499

Multiple Choice

Solve the linear programming problem.
-A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $\$ 2400$ , and the average monthly salary of an aide is $\$ 1100$ The camp can accommodate up to 45 staff members and needs at least 30 to run properly. The camp must have at least 10 aides and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

• A) 18 counselors and 12 aides
• B) 12 counselors and 18 aides
• C) 35 counselors and 10 aides
• D) 27 counselors and 18 aides

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Definitions:

Cash Budget

A financial plan that forecasts the cash inflows and outflows over a specific period, typically used to assess liquidity and manage cash effectively.

Budgeted Disbursements

Projected payments planned by a company for various expenses.

Desired Balance

The optimal amount of funds an individual or business aims to maintain in an account.

Excess (Deficiency)

The amount by which actual income exceeds or falls short of the budgeted amount.