The total cost​ (in dollars) of manufacturing x auto body frames is ​C(x)=60,000+400x. ​(A) Find the average cost per unit if 200 frames are produced. ​(B) Find the marginal average cost at a production level of 200 units. ​(C) Use the results from parts​ (A) and​ (B) to estimate the average cost per frame if 201 frames are produced.

a) Average price per unit = 700

b) average marginal cost = -1.5 dollars/frame

c) For 201 frames are produced = $698.5

Explanation:

Given Data:

C(x) = 60000 + 400x

a) Average cost for 200 units:

Total Cost of 200 units will be:

C(200) = 60000 + 400(200)

C(200) = 140,000

Total Cost of 200 units = 140,000

Average price per unit = Total Cost / number of units

Average price per unit = 140,000/200

Average price per unit = 700

b) Marginal Average Cost:

We know that marginal cost = (x)

And the average marginal cost =

So,

= the derivative of ()

= the derivative of ()

= + 0

So,

average marginal cost =

at x = 200 units

average marginal cost =

average marginal cost = -1.5 dollars/frame

c) Average cost per frame if 201 frames are produced:

We already seen in the part b that, the average marginal cost is decreasing by 1.5 dollars /frame. So,

if 201 frames are produced the instead of 200 then the difference is of 1 frame and we discussed that average marginal cost of 1 frame is decreasing at 1.5 dollars per frame.

So,

As we know the average cost from part a = 700 dollars.

Therefore, for 201 item = 700 dollars -1.5 dollars

For 201 frames are produced = $698.5

typically a loft will include modern kitchen and bathrooms, this increases the price tag. lofts also have a good amount of open space, this requires more heating and electricity. lofts are also in older buildings, this means that maintaining the location increases the bill. keep in mind this is without talking about the high state and property taxes.

i hope this you! : )