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gizmo_the_mogwai [7]
2 years ago
7

10 POINTS Which of these are correct? also, isn't true that you can choose any 2 points for Rise/Run when finding the slope?

Mathematics
1 answer:
shutvik [7]2 years ago
8 0
No the points have to be on a cross on the x and y axis

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A community theater sells about 150 tickets to a play each week when it charges $20 per ticket.
Marta_Voda [28]

Answer:

  • r = 12.5p(32 -p)
  • $16 per ticket
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Step-by-step explanation:

The number of tickets sold (q) at some price p is apparently ...

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  q = 12.5(32 -p)

The revenue is the product of the price and the number of tickets sold:

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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

_____

<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.

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