31.+ addition
32. - subtraction
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Answer:
Local max is .5
Step-by-step explanation:
The local maximum is for x values between 2 and 4
It looks like the x value is 2.5 and the y value is .5
Answer:
-12
Step-by-step explanation:
The coordinates of B' are just 3 times the coordinates of B, so the multiplier in the dilation is 3.
C' is the point with coordinates 3 times the coordinates of C, making C'(3, -12).
The y-coordinate is -12.
Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
If cylinder Q has radius, r and height, h,
Then
Volume of cylinder Q = πr²h
For cylinder P,
Height = 3h
Radius = 2r
Volume of cylinder P = π(2r)² × 3h
= 4πr²× 3h = 12πr²h
Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is
12πr²h/πr²h = 12
