Answer:
<u>ALTERNATIVE 1</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-60x² + 275x) - (50000 + 30x)
P(x) = -60x² + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - 60x)
R(x) = -60x² + 275x
d. Find the marginal revenue function in terms of x.
R'(x) = (-60 · 2x) + 275
R'(x) = -120x + 275
The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60
<u>ALTERNATIVE 2</u>
a. Find the profit function in terms of x.
P(x) = R(x) - C(x)
P(x) = (-x²/60 + 275x) - (50000 + 30x)
P(x) = -x²/60 + 245x - 50000
b. Find the marginal cost as a function of x.
C(x) = 50000 + 30x
C'(x) = 0 + 30 = 30
c. Find the revenue function in terms of x.
R(x) = x · p
R(x) = x · (275 - x/60)
R(x) = -x²/60 + 275x
d. Find the marginal revenue function in terms of x.
R(x) = -x²/60 + 275x
R'(x) = -x/30 + 275
Answer:
- 1/3
Step-by-step explanation:
3x-4 = -5
3x = -5 + 4
3x = -1
x = -1/3
Answer:
Not equal. So, false.
Step-by-step explanation:
Just cross multiply
40 and 48
so no, they're are not equal.
Answer:
7.065
Step-by-step explanation:
There are two ways to do this:
(Note: area = pi * r^2)
Method 1:
Diameter of A = 4, so radius = 4/2 = 2
Area of A = 3.14 * 2^2 = 12.56
Diameter of B = 5, so radius = 5/2 = 2.5
Area of B = 3.14 * 2.5^2 = 19.625
Difference in area = 19.625 - 12.56 = 7.065
Method 2:
First find out how much larger the diameter of B is than A, so 5/4 = 1.25.
What this means is if you take the diameter of A and multiply it by 1.25, you get the diameter of B.
When dealing with area, the area of B will be 1.25^2 times bigger than A.
Area of A = 3.14 * 2^2 = 12.56
So area B = 12.56 * 1.25^2 = 19.625
Difference = 19.625 - 12.56 = 7.065
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
Solve for x
Subtract 8x from both sides
Add 11 to both sides
Divide both sides by 2
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
