Answer:
- r = 12.5p(32 -p)
- $16 per ticket
- $3200 maximum revenue
Step-by-step explanation:
The number of tickets sold (q) at some price p is apparently ...
q = 150 + 25(20 -p)/2 = 150 +250 -12.5p
q = 12.5(32 -p)
The revenue is the product of the price and the number of tickets sold:
r = pq
r = 12.5p(32 -p) . . . . revenue equation
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The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...
p = (0 +32)/2 = 16
The theater should charge $16 per ticket.
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Maximum revenue will be found by using the above revenue function with p=16.
r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue
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<em>Additional comment</em>
The number of tickets sold at $16 will be ...
q = 12.5(32 -16) = 200
It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.
Jamie can take one of the three different buses to and from school bus A ,B, and C. she randomly get just one person in the morning and another one on the way home this gift list same space of outcomes the answer is
C. BC
Did the quiz
Answer is D cause the equation of the line is y=3x
Let's thing
949 ----- 100% of the price
499 ------ x% of the price
Multiply in cross
949.x = 100.499
949x = 49900
x = 49900/949
x = 52,58%
So, rounding it 52,58% ≈ 53%
Alternative B
