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The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.
<h3>What is a marginal cost?</h3>
It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.
We have a cost function of a product:
C(Q) = 3Q² +8
a) To find the marginal cost to differentiate it with respect to Q and plug
Q = 4:
C'(Q) = 6Q
C'(4) = 6(4) = 24
b) R(Q) = P×Q


R'(Q) = Q² - 20Q + 105
Plug Q = 4
R'(Q) = (4)² - 20(4) + 105
R'(Q) = 41
c) Marginal profit:
MP(Q) = R(Q) - C(Q)
After calculating:

MP'(Q) = Q² - 26Q + 105
Plug Q = 4
MP'(Q) = 16 - 104 + 105 = 17
Similar, we can find the maximum profit.
Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.
Learn more about the marginal cost here:
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Answer: No, 40 months isn’t reasonable.
Step-by-step explanation:
For Shellie: 40*3 = 120 cm in 40 months
For Carley: 40*2 = 80cm in 40 months
Next we add the amount of hair they have already to the amount of centimeters would grow.
Shellie: 120+10 = 130cm
Carley: 80+20 = 100cm
So if the girls wanted to cut their hair at the exact length, 40 months isn’t a reasonable solution.
Answer:
$10668.67
Step-by-step explanation:
If the car value goes down 16% each year, after the first year, it will be worth 1520.
The next year, it will be worth $12700.80
After the third year, the car will be worth $10,668.67
Answer: 15
Step-step-explanation: