Question

SAC held a spring fling. SAC provides the following formulas about the spring fling.

1. The number, N, of people who attend the park is a function of price, p, in dollars:
𝑁(𝑝) = −(𝑝 + 5)(𝑝 − 17) assuming the minimum ticket price is $12.
2. The revenue, 𝑅, is 𝑅(𝑝) = 𝑁(𝑝) × 𝑝
3. The cost, C, of running the event can be modeled by the function
𝐶(𝑝) = 75 + 12𝑁(𝑝).

Write the combined function y = R(p) - C(p) and explain what it represents.

Answer 1

so what's the trouble? They gave you the equation

y = R(p)-C(p)
= N(p)*p - C(p)
= -p(p+5)(p-17) - (75+12(-(p+5)(p-17)))
= (12-p)(p+5)(p-17) - 75

You can expand that if you want. What does it mean?

Revenue-Cost = Profit.