The county government released $100,000 as an appropriation for a counseling program for at-risk teenagers. The program should run one year and the variable costs for the program are $400 per teenager per year. Within the relevant range of 50 to 150 teenagers, the fixed costs for the program are $60,000. How many teenagers can the program serve

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Business

Mariyah Pope

3 October, 14:11

The county government released $100,000 as an appropriation for a counseling program for at-risk teenagers. The program should run one year and the variable costs for the program are $400 per teenager per year. Within the relevant range of 50 to 150 teenagers, the fixed costs for the program are $60,000. How many teenagers can the program serve

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Ruby Chang · Answer 1

Number of teenagers = 100 teenager

Explanation:

Giving the following information:

The county government released $100,000 as an appropriation for a counseling program for at-risk teenagers. The variable costs for the program are $400 per teenager per year. Within the relevant range of 50 to 150 teenagers, the fixed costs for the program are $60,000.

First, we need to deduct the fixed costs that remain don't affect directly the teenagers.

Budget = 100,000 - 60,000 = 40,000

Now, we can calculate the number of teenagers to attend:

Number of teenagers = 40,000/400 = 100 teenagers