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marshall27 [118]
3 years ago
11

The marginal cost of producing the xth box of canning jars is 7 + x 2 1000 dollars per box. Determine how much is added to the t

otal cost by a change in production from x = 25 to x = 75 boxes.

Business
2 answers:
Elden [556K]3 years ago
6 0

Answer: $485.417

Explanation:

Given the function ;

Marginal cost of (x) = (7 + (x^2/1000))

To determine change in total cost, we have to calculate the total cost at x=25 and x=75.

Note Marginal cost function is the first derivative of the total cost function. Therefore to revert the marginal cost function back to the total cost function, we integrate the marginal cost function.

Now integrate the function f(x) = (7 + (x^2/1000))

Mathematically,

∫f(x)dx = ∫(7+x^2/1000)dx

∫(7+x^2/1000)dx=∫7dx + ∫x^2/1000dx

= 7x + x^3/3000

Therefore, the total cost function is

Total cost(x) = 7x + x^3/3000

Therefore, at x = 25

Total cost =(7×25)+((25^3)/3000)

Total cost =175 + 5.208 = $180.208

At x=75

Total cost =(7×75)+((75^3)/3000)

Total cost = 525+140.625=$665.625

Change in cost = $665.625 - $180.208 = $485.417

Paha777 [63]3 years ago
4 0

Answer:

The answer is 485.417$

Explanation:

Complete solution is given below:

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mina [271]

Answer and Explanation:

a. The net long term capital loss would be $7,000

And, the net short term capital gain would be $14,000 ($21,000 - $7,000)

So as a result the overall net short term capital gain is $7,000

b. Since there is a loss arise from the personal residence of $28,000 so the blank would be filled by the amount i.e. $28,000 and the rest of the things would be alright.

7 0
3 years ago
The problem now is to decide which contractor to choose.B has indicated that for another $20 million he could do the job in 18 m
Ede4ka [16]

Question: The question is incomplete. See the full question below and the answer.

You are an up-and-coming developer in downtown Seattle and are interested in constructing a building on a site you own. You have collected four bids from prospective contractors. The bids include both a cost ($millions) and time to completion (months):

Contractor    Cost           Time

A                   100             20

B                    80              25

C                    79               28

D                   82                26

The problem now is to decide which contractor to choose. B has indicated that for another $20 million, he could do the job in 18 months, and you have said that you would be indifferent between that bid and the original proposal. In talking with C, you have indicated that you would just as soon pay her an extra $million if she could get the job done in 26 months. Who gets the job? Explain your reasoning. (It may be convenient to plot the four alternatives on a graph.)

Answer:

See the explanation for the answer and find attached of the graph.

Explanation:

So we draw a regression line of Time vs Cost and best fit a curve based on the data given, given in the above figure. The four alternatives are marked in the figure as well. Our main objective is to reduce both time and cost, but that might not be possible So the best thing would be to look for alternatives which lie below the line. If C gets an extra million, then that point would come below the regression line, and it would be a better alternative than D, because for the same time we are getting the job done at a cheaper cost.

Also if B is paid extra 20 million, that point also comes below the regression line, and hence will be a better alternative than A because for the same cost again we are getting the job done earlier. We need to choose between B and C. Now in order to optimise both cost and time, we need to choose a point close to the middle point of the regression line segment in 1st quadrant. We see that C is much more closer to the middle point and hence seems like a better option.

So we choose C as our contractor if we consider B's alternative bid, but if we do not consider B's alternative bid and stick to the original one, we choose B as our contractor.

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8 0
3 years ago
Read 2 more answers
During the annual fund-raising drive, the Cancer Society raised $900,000 in pledges of financial support for general operations.
Gnoma [55]

Answer:

$ 870,000

Explanation:

Given data:

The funds raised by the cancer society = $ 900,000

The amount that has been collected back = $ 600,000

The amount that is uncollectible = 10% of the remaining amount

i.e 10% of ( $ 900,000 - $ 600,000 ) = $ 30,000

Therefore,

the net amount of revenue the society should recognize during the current year from this pledge drive is calculated as:

= The funds raised by the cancer society  - The amount that is uncollectible

or

= $ 900,000 - $ 30,000

or

= $ 870,000

4 0
3 years ago
Hosley Corporation uses an activity-based costing system with three activity cost pools. The company has provided the following
Feliz [49]

Answer:

D) $123,000

Explanation:

Total Costs provided, based on activity based costing,

Wages and salaries =  $360,000

Depreciation = $100,000

Utilities = $120,000

Other activity cost pool sharing for the above 3 activities

Wages and salaries = 10% = $360,000 \times 10% = $36,000

Depreciation = 45% = $100,000 \times 45% = $45,000

Utilities = 35% = $120,000 \times 35% = $42,000

Total of other activities = $36,000 + $45,000 + $42,000 = $123,000

Final Answer

D) $123,000

3 0
3 years ago
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