Question

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

Answer 1

After deducting the fixed costs from the total budget, the remaining funds can cover the variable costs for 100 teenagers in the counseling program.

Step-by-step explanation:

The student's question can be tackled by calculating how many teenagers the program can serve given its budget, fixed costs, and variable costs. To find the answer, we first subtract the total fixed costs from the total budget to see how much is available for covering variable costs, and then we divide that by the cost per teenager.

Total Budget: $100,000
Fixed Costs: $60,000
Variable Cost Per Teenager: $400

We calculate the remaining budget after fixed costs:

Remaining Budget = Total Budget - Fixed Costs
Remaining Budget = $100,000 - $60,000
Remaining Budget = $40,000

Next, we determine how many teenagers can be served with the remaining budget:

Number of Teenagers = Remaining Budget / Variable Cost Per Teenager
Number of Teenagers = $40,000 / $400
Number of Teenagers = 100

The program can serve 100 at-risk teenagers given the budget and costs.

Answer 2

Number of teenagers= 100 teenager

Step-by-step 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