summer camp data for 12 week session charge per camper $120/week Fixedcost $48,0

Question

summer camp data for 12 week session charge per camper $120/week Fixedcost              $48,000/ session variable cost /camper   $80/camper capacity                       200 campers a.) develop the mathematical relationship for total costand revenue b.) what is the total number of campers that will allowthe camp to break even? c.) what is the profit or loss for the 12 week sessionif the camp operates at 80% capacity? summer camp data for 12 week session charge per camper $120/week Fixedcost              $48,000/ session variable cost /camper   $80/camper capacity                       200 campers a.) develop the mathematical relationship for total costand revenue b.) what is the total number of campers that will allowthe camp to break even? c.) what is the profit or loss for the 12 week sessionif the camp operates at 80% capacity?

Explanation / Answer

N

F

V

48000 / 12

Number of camperssigned up

N

Fixed Costs

F

Variable Cost / Camper

V

At the Break Even Point, thefollowing relationship exists N*P = F + V *N Fixed Cost / Week

48000 / 12

4,000.00 Variable Cost / Camper 80.00 Charge / Camper 120.00 Contribution / Camper 40.00 Number of campers to breakeven 4000 / 40 100.00 80% of capacity ( 200 * 0.8 ) 160.00 Total Contribution 160 * 40 * 12 76,800.00 Profit( 76800 -48000) 28,800.00 It is assumed tha the capacityof 200 campers is for a weekonly.

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