Answer:
a. N(x) = 50000 - 200x
b. R(x) = (50000-200x)(17+x)
Step-by-step explanation:
a. Given,
The the original price of each ticket = $ 17,
Also, the average attendance = 50,000
Let x be the number of times the original price of each ticket is increased by $ 1,
Also, for each $1 increase in the ticket price, attendance decreases by 200,
Thus, decrements in the attendance = 200x,
If N(x) represents the new average attendance,
Then,
N(x) = 50000 - 200x
Which is the required function,
b. Now,
Revenue = average attendance × price of each ticket
R(x) = N(x) × ( 17 + x )
⇒ R(x) = (50000-200x)(17+x)
Which is the required function.
