Question 1041993: 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).
a. Write the combined function y = R(p) - C(p) and explain what it represents.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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).
a. Write the combined function y = R(p) - C(p) and explain what it represents.
y = 12(-(p+5)(p-17)) - (75+12[-(p+5)(p-17)]
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y = 12*N(p) - (75+12N(p))
y = -75
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Note: That says "the profit for the event" = -$75
Note:: Since y = Revenue - Cost, y is the profit.
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Cheers,
Stan H.
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