Answer :
MArginal cost is the adjustment in all out cost that emerges when the amount created changes by one unit.(In another word subordinate of cost wrt unit)
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q
Marginal rev=205
Marginal Profit = 205-41.958=163.042
So we coordinate to get Cost work
∫30 600/0.3q+5 (dq) 0
we get 9798.66 from joining.
We add that to settle cost 2059.23+2200=4259.24
So 4259.24 is the cost.
Income from offering the bicycle is 205*30=6150
and Profit=Revenue-Cost
6150 - 4259.24=1890.76
Presently Marginal Profit
MArginal benefit is the term used to allude to the contrast between the minor cost the peripheral income for delivering one extra unit of creation.
Marginal Profit=Marginal Revenue-Marginal Cost
Marginal Cost=600/0.3q+5.
We should connect to 31 to get 41.958
Revenue= 205q
Marginal rev=205
Marginal Profit = 205-41.958=163.042
The total cost to produce 30 bicycles is 4259.23, the profit is 1890.77, and the marginal profit on the 31st bicycle is 163.05.
What is a marginal cost?
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 the marginal cost function of producing q mountain bikes is:
[tex]\rm C'(q) = \frac{600}{0.3q+5}[/tex]
For the total cost = fixed cost + cost for producing 30 bikes
[tex]=2200+\rm \int_{0}^{30}\frac{600}{0.3q+5}dq[/tex]
The value of the definite integration:
[tex]\rm \int_{0}^{30}\frac{600}{0.3q+5}dq = 2059.23[/tex]
= 2200+2059.23
= 4259.23
For the profit or loss:
Profit = revenue - cost
Profit = 205×30 - 4259.23 ⇒ 6150 - 4259.23 ⇒ 1890.77
For the marginal profit on the 31st bicycle:
Marginal Profit = Marginal Revenue - Marginal Cost
Marginal cost [tex]= \frac{600}{0.3\times 31+5}[/tex] ⇒ 41.95
Marginal revenue on the 31st bike = 205
Marginal Profit = 205 - 41.95 ⇒ 163.05
Thus, the total cost to produce 30 bicycles is 4259.23, the profit is 1890.77, and the marginal profit on the 31st bicycle is 163.05
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