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:
"m" is used after a number to represent thaT
Step-by-step explanation:
Answer:
width= 6
Step-by-step explanation:
equation: 50=2(2w-5)+ 2w w= width
50=6w-10
60=6w
w=6
Answer:
A
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
Here the line passes through all points with an x- coordinate of 4, thus
x = 4 → A
Length x width = answer
7 1/4 x 9 1/4 = 67 1/16
