right now:
40 people signed up, $120 per person.
let the number of additional skiers be m
number going : 40+m
cost per skier : 120-2m
revenue = (40+m)(120-2m)
= 4800 + 40m - 2m^2
This is a quadratic, a parabola opens down, so it has a maximum revenue.
This is found by finding the vertex.
Do that by the means that were taught to you.
The Toro Ski club is planning a ski trip for the upcoming long weekend. They have 40 skiers signed up to go, and the ski resort is charging $120 per person. The resort manager offers to lower the rate per person by $2 for each additional skier up to a maximum number m. (So if they get 41 people to go, the rate will be $118 per person. How many skiers should go for the resort to bring in the most revenue?
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