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Nate R.

asked • 06/17/20

If the fine imposed is the one needed to motivate the company to cleanup the spill in the specified number of days, and the company hires crews to do that, what would the Cost to the company be?

WHAT YOU KNOW:

An oil spill has fouled 400 miles of Pacific shoreline. The company responsible has been ordered to clean the mess. Each clean-up crew costs $14000 to bring in, and $400 per crew per day. Each crew can clean 1 mile of shoreline per day. To encourage a speedy cleanup, the government is levying a fine of $3000 per day against the company.



The minimum amount of crew is 9

"f": the constant from $3000


Cost Equation: C(x) = 160000 +14000x + (400f)/x


Fine needed in 2 weeks --> $29435

Fine needed in 1 weeks --> $117740

Fine needed in 3 days ---> $628460


What you need to SOLVE:

a) 2 weeks. Cost to the company: $_____

b) 1 weeks. Cost to the company: $_____

c) 3 days. Cost to the company: $_____

Mark M.

Can more than one crew be brought in? Is the $14,000 a one time cost per crew or recurring each day? In your cost equation what does "f" represent?
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06/17/20

Nate R.

In the first part of the problem, it was at a minimum of 9 crew. The 14,000 is per clean-up crew cost one time and it's $400 per crew each day. the "f" in the equation represents the $3000 fine as a constant.
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06/17/20

Mark M.

Three costs: first the salary for the crews - $16000 (constant); second, bringing in the crews - $14000x; and the penalty - $3000(400/x)
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06/18/20

Nate R.

Is that the answer? If you need the answers I can type them I just don't know how to work it out (got the answers after getting a certain amount wrong)
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06/18/20

Nate R.

Just in case a) 972000, b) 1784000, c) 3912000
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06/18/20

1 Expert Answer

By:

Mark M. answered • 06/18/20

Tutor
5.0 (243)

Mathematics Teacher - NCLB Highly Qualified

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