The answer is d. <span>x ≥ –2 .</span>
The number of night of work each performers will have equal amount is 1 night
<h3 /><h3>How to find the time of work that the performers will have equal amount?</h3>
The buskers gets permit which cost $30. They can make an average of $45 per night (n),
Therefore,
y = 45n - 30
Without a permit they may only make an average of $15 per night.
Therefore,
y = 15n
The number of night the money made are both equal.
45n - 30 = 15n
45n - 15n = 30
30n = 30
n = 30 / 30
n = 1
Therefore, the number of night of work each performers will have equal amount is 1 night
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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.
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1 Yes 2. Yes
Step-by-step explanation:
they are similar because in problem one each side is related by a factor of 3
in problem 2 each side is related by a factor of 2.