Question

A privately owned summer camp for youngsters has the following data for a 12-week session: Charge per camper Fixed costs Variable cost per camper Capacity $480 per week $192,000 per session $320 per week 200campers (a) Develop the mathematical relationships for total cost and total revenue. (b) What is the total number of campers that will allow the camp to just break even

Answer 1

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $192,000

Unitary variable cost= $320 per week

Selling price per unit= $480 per week

To calculate the total cost, we need to use the following formula:

Total cost= fixed costs + unitary variable cost*number of units

Total cost= 192,000 + 320*number of weeks

Now, the total revenue:

Total revenue= selling price per week*Number of weeks

Total revenue= 480*x

Finally, the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 192,000 / (480 - 320)

Break-even point in units= 1,200 campers