The Adventure Guides group at a local YMCA is planning camping trip on the beach: It costs $3,500 to rent the campsites for the weekend and pay for insurance for up to 110 campers. (a) Find a model for the per camper cost C in dollars for this camp out if p people attend. Find the cost per person for each camper if 70 people attend: (Include units in your answer). The per person cost for 70 campers to attend is per person: What are reasonable domain and range for this model? Domain: 0 < p < 110 0 < p < 0 < C < 3500 1 < p < 110 31.82 < C < 3500 Range: 0 < C < 3500 1 < p < 110 0 < C < 0 < p < 110 31.82 < C < 3500
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The Adventure Guides group at a local YMCA is planning a camping trip on the beach. It costs $2,000 to rent the campsites for the weekend and pay for insurance for up to 105 campers. (a) Find a model for the per camper cost C in dollars for this campout if p people attend. C(p) = (b) Find the cost per person for each camper if 80 people attend. (Include units in your answer.) The per person cost for 80 campers to attend is $25 per person. (c) What are a reasonable domain and range for this model? Domain: 0 ≤ p ≤ 105 Range: $19.05 ≤ C ≤ $2000
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In Exercise 2 of Section $7.1,$ we found the model $$ C(p)=\frac{1500}{p} $$ where $C(p)$ is the per camper cost in dollars for an Adventure Guides camp out if $p$ people attend. Up to 90 people can attend. a. How many people must attend if the per camper cost is $\$ 30 ?$ b. How many people must attend if the per camper cost is $\$ 10 ?$
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A privately owned summer camp for youngsters has the following data for a 12-week session: Charge per camper: $480 per week Fixed costs: $192,000 per session Variable cost per camper: $320 per week Capacity: 200 campers (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?
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