Since a $5 decrease in price increases customers by 20 we can say that we have two points:
(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...
m=20/-5
m=-4
m=-4
c(p)=-4p+b, now we can use (125,100) to solve for b
100=-4(125)+b
100=-500+b
600=b, so our number of customers as a function of price is:
c(p)=600-4p
Revenue will simply be the number of customers times the price charged per customer...or p*c(p):
r(p)=600p-4p^2
We can find price that creates maximum revenue by finding when the derivative is equal to zero...
dr/dp=600-8p
dr/dp=0 only when
0=600-8p
8p=600
p=75
So the price that maximizes revenue is $75.
Answer:
42.40 is your answer for this equation
6. 150 degrees
7. 70 degrees
8. 100 degrees
Answer:
x = 2
Step-by-step explanation:
because m || n, you can assume the two angles are congruent.
set them equal to each other:
5x - 4 = 4x - 2
<u>solve</u>
add 4 to both sides: 5x + (-4 + 4) = 4x + (-2 + 4) --> 5x = 4x + 2
subtract 4x from both sides: (5x - 4x) = (4x - 4x) + 2 --> x = 2
