Answer:
A function R x that models the total revenue per game is as follows:
Rx = 87,5000 + 3,750x – 500x^2.
Step-by-step explanation:
Based on the information in the question, we have:
Rx = Total revenue per game
x = Number of $0.25 increases in the price of a hot dog
Average sales of hot dogs = 35,000
Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x
Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x
Therefore, we have:
Rx = (35,000 - 2000x)(2.5 + 0.25x)
This can be solved further by opening the brackets as follows:
Rx = 87,5000 + 8,750x - 5,000x - 500x^2
Rx = 87,5000 + 3,750x – 500x^2
Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.
