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
_____
<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.
Answer:
This means 79 is divisible by 1. Hence the factors of 79 are, 1 and 79.
Step-by-step explanation:
plzzzzzzz Mark my answer in brainlist and follow me
At firt we should solve what is h(0)
h(0)=0^2+2
h(0)=2
So then you should take the h(0) answer to g(x) and the result is g(2)= -2-5=-7
Answer:
Step-by-step explanation: the workers planted 83 oak trees that day
(one way is to subsitute since both equal 9 you do 3x-4y=-3x+2y then add 3x to both sides 6x-4y=2y add 4y to both sides 6x=6y divide by 6 x=y now subsitute 3x-4x=9 -x=9 multiply -1 x=9 x=y y=-9)
use elimination
add them together to cancel x terms
3x-4y=9
<u>-3x+2y=9 +
</u>0x-2y=18
-2y=18
divide by 2
-y=9
multiply -1
y=-9
subsituete
3x-4y=9
3x-(4 times -9)=9
3x-(-36)=9
3x+36=9
subtract 36 from both sides
3x=-27
divide both sides by 3
x=-9
x=-9
y=-9
the answer is in (x,y) form
(-9,-9)
the answer is none of them (D is closest)
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