NEED HELP! I don't understand how to work out Q8
You would need to use Q5 and Q7 in the answer with the problem (ON TOP SHOWN)
and write an explanation in a few sentences
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. Now we're going to consider the scenario from another perspective. For questions 5 - 9 of the project, imagine that you are a government EPA analyst, trying to determine the fine-per-day to impose upon the company. Knowing that the company will want to minimize their costs, by adjusting the fine-per-day you can affect what number of crews will be in the company's best interest to bring in. This in turn will affect the number of days taken for cleanup. 5. Rewrite your equation from above, replacing the $3000 fine with the constant f. Your equation will involve both the variable x and the constant f (400f) C(x) = 160000 + 14000x + 2 7. Suppose the governments wants the spill cleaned up sooner. Find the amount of fine needed to motivate the company to clean up the spill in: a) 2 weeks. Fine needed: $ 109200 x 29435 per day b) 1 weeks. Fine needed: $ 49213 x 0 117740 per day c) 3 days. Fine needed: $ 54353 x||o| 628460 per day Note: In each case, presume that only whole numbers of crews can be brought in. If cleaning the spill in the time indicated would require a fractional number of crews, round up to the next whole number of crews so the spill will get cleaned within the time specified. Give answers to the nearest dollar. 400 Hint: Use crews = to determine the number of crews needed. Solve your equation from part 6 for f. days 8. As an EPA analyst, you decide to do more calculations using the Cost function found in #5 and the information found in #7. 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? a) 2 weeks. Cost to the company: $ 103600 b) 1 weeks. Cost to the company: $ 234000 c) 3 days. Cost to the company: $ 624000 x | Note: As in the question, in each case, presume that only whole numbers of crews can be brought in. If cleaning the spill in the time indicated would require a fractional number of crews, round up to the next whole number of crews so the spill will get cleaned within the time specified. Give answers to the nearest dollar. Hint: Use the fine values from question #7 with the cost equation from question #5 9. a) As an EPA analyst, write a letter to your boss in the EPA indicating your recommended course of action concerning the fine that should be imposed. Be sure to include your findings from parts # 5 - 8. b) Write this letter using language that your boss can understand. Assume your boss took calculus many years ago in college but has forgotten most of it. c) In addition to considering how many days the cleanup might take, point out at least two other issues that might affect the EPA's recommendation of how high to raise the fine. d) Make the letter look like a professional document. e) Enter the letter in the space below. f) If you also want to give a printed copy of this letter to the instructor (for example, if you want to improve the formatting), you may do so, but that is not required. 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. Now we're going to consider the scenario from another perspective. For questions 5 - 9 of the project, imagine that you are a government EPA analyst, trying to determine the fine-per-day to impose upon the company. Knowing that the company will want to minimize their costs, by adjusting the fine-per-day you can affect what number of crews will be in the company's best interest to bring in. This in turn will affect the number of days taken for cleanup. 5. Rewrite your equation from above, replacing the $3000 fine with the constant f. Your equation will involve both the variable x and the constant f (400f) C(x) = 160000 + 14000x + 2 7. Suppose the governments wants the spill cleaned up sooner. Find the amount of fine needed to motivate the company to clean up the spill in: a) 2 weeks. Fine needed: $ 109200 x 29435 per day b) 1 weeks. Fine needed: $ 49213 x 0 117740 per day c) 3 days. Fine needed: $ 54353 x||o| 628460 per day Note: In each case, presume that only whole numbers of crews can be brought in. If cleaning the spill in the time indicated would require a fractional number of crews, round up to the next whole number of crews so the spill will get cleaned within the time specified. Give answers to the nearest dollar. 400 Hint: Use crews = to determine the number of crews needed. Solve your equation from part 6 for f. days 8. As an EPA analyst, you decide to do more calculations using the Cost function found in #5 and the information found in #7. 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? a) 2 weeks. Cost to the company: $ 103600 b) 1 weeks. Cost to the company: $ 234000 c) 3 days. Cost to the company: $ 624000 x | Note: As in the question, in each case, presume that only whole numbers of crews can be brought in. If cleaning the spill in the time indicated would require a fractional number of crews, round up to the next whole number of crews so the spill will get cleaned within the time specified. Give answers to the nearest dollar. Hint: Use the fine values from question #7 with the cost equation from question #5 9. a) As an EPA analyst, write a letter to your boss in the EPA indicating your recommended course of action concerning the fine that should be imposed. Be sure to include your findings from parts # 5 - 8. b) Write this letter using language that your boss can understand. Assume your boss took calculus many years ago in college but has forgotten most of it. c) In addition to considering how many days the cleanup might take, point out at least two other issues that might affect the EPA's recommendation of how high to raise the fine. d) Make the letter look like a professional document. e) Enter the letter in the space below. f) If you also want to give a printed copy of this letter to the instructor (for example, if you want to improve the formatting), you may do so, but that is not required
