Answer:
$204
Step-by-step explanation:
The question is at what price x will the company maximize revenue.
The revenue function is:
The price for which the derivate of the revenue function is zero is the price the maximizes revenue:
The company will maximize its revenue when the price is $204.
Answer:
5.25 is the lenght of the arc AB.
Step-by-step explanation:
First, since we are told the answer should be expressed in radians, we need to convert the arc angle into radians, we do that by multiplying the angle by π and dividing by 180.
60° * π/180 = 1.05rad
Now, there is a simple formula to calculate the arc lenght, A = Ф*r, where:
A = arc lenght
Ф = arc angle (60°=1.05rad)
r = radius (5cm)
A = 1.05*5cm
A = 5.25cm
Answer:
y = 2x + 2
Step-by-step explanation:
The general form
is;
y = mx + b
where m is the slope and b is the y-intercept
so we have;
y = mx + 2
To get m, substitute the point (-1,0)
So we have
0 = -m + 2
m = 2
So the equation is;
y = 2x + 2
Answer:
Guys his answer is wrong. It’s 5.50 in edg
Step-by-step explanation:
Answer:
a. 1620-x^2
b. x=810
c. Maximum value revenue=$656,100
Step-by-step explanation:
(a) Total revenue from sale of x thousand candy bars
P(x)=162 - x/10
Price of a candy bar=p(x)/100 in dollars
1000 candy bars will be sold for
=1000×p(x)/100
=10*p(x)
x thousand candy bars will be
Revenue=price × quantity
=10p(x)*x
=10(162-x/10) * x
=10( 1620-x/10) * x
=1620-x * x
=1620x-x^2
R(x)=1620x-x^2
(b) Value of x that leads to maximum revenue
R(x)=1620x-x^2
R'(x)=1620-2x
If R'(x)=0
Then,
1620-2x=0
1620=2x
Divide both sides by 2
810=x
x=810
(C) find the maximum revenue
R(x)=1620x-x^2
R(810)=1620x-x^2
=1620(810)-810^2
=1,312,200-656,100
=$656,100
