(d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? ot si oviloido the (b) Examine the sensitivity to the rate at which a crew can clean up shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? opulation (per year)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Please, help solve question 4. Hints will work too. Please, please !!!
17
(d) Compare the results of part (b) to the optimal solution contained
in the text. Comment on the robustness of our assumptions about
price.
Be
le
4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company
responsible has been given 14 days to clean up the shoreline, after which
a fine will be levied in the amount of $10,000/day. The local cleanup crew
can scrub five miles of beach per week at a cost of $500/day. Additional
crews can be brought in at a cost of $18,000 plus $800/day for each crew.
a
(a) How many additional crews should be brought in to minimize the
total cost to the company? Use the five-step method. How much will
the clean-up cost?
se
(b) Examine the sensitivity to the rate at which a crew can clean up the
shoreline. Consider both the optimal number of crews and the total
cost to the company.
(c) Examine the sensitivity to the amount of the fine. Consider the
number of days the company will take to clean up the spill and the
total cost to the company.
(d) The company has filed an appeal on the grounds that the amount of
the fine is excessive. Assuming that the only purpose of the fine is to
motivate the company to clean up the oil spill in a timely manner, is
the fine excessive?
re
rate of the fin whale population (per year)
Transcribed Image Text:17 (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. Be le 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. a (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? se (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive? re rate of the fin whale population (per year)
17
1.4. EXERCISES
(d) Compare the results of part (b) to the optimal solution contained
in the text. Comment on the robustness of our assumptions about
price.
4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company
responsible has been given 14 days to clean up the shoreline, after which
a fine will be levied in the amount of $10,000/day. The local cleanup crew
can scrub five miles of beach per week at a cost of $500/day. Additional
crews can be brought in at a cost of $18,000 plus $800/day for each crew.
(a) How many additional crews should be brought in to minimize the
total cost to the company? Use the five-step method. How much will
the clean-up cost?
(b) Examine the sensitivity to the rate at which a crew can clean
up
the
shoreline. Consider both the optimal number of crews and the total
cost to the
company.
(c) Examine the sensitivity to the amount of the fine. Consider the
number of days the company will take to clean up the spill and the
total cost to the company.
(d) The company has filed an appeal on the grounds that the amount of
the fine is excessive. Assuming that the only purpose of the fine is to
motivate the company to clean up the oil spill in a timely manner, is
the fine excessive?
Transcribed Image Text:17 1.4. EXERCISES (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the robustness of our assumptions about price. 4. An oil spill has fouled 200 miles of Pacific shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine will be levied in the amount of $10,000/day. The local cleanup crew can scrub five miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18,000 plus $800/day for each crew. (a) How many additional crews should be brought in to minimize the total cost to the company? Use the five-step method. How much will the clean-up cost? (b) Examine the sensitivity to the rate at which a crew can clean up the shoreline. Consider both the optimal number of crews and the total cost to the company. (c) Examine the sensitivity to the amount of the fine. Consider the number of days the company will take to clean up the spill and the total cost to the company. (d) The company has filed an appeal on the grounds that the amount of the fine is excessive. Assuming that the only purpose of the fine is to motivate the company to clean up the oil spill in a timely manner, is the fine excessive?
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