questions. answering any . Oil Refinery Problem: Sabrina Burmeister is chief mathematician for Pedro Leum's Oil Refinery. Pedro can buy Texas oil, priced at $30 per barrel, and California oil, priced at $15 per arrel. He consults Sabrina to find out what is the most he might have to pay in a month for the il the refinery uses. Define variables for the number of barrels of Texas oil and the number of barrels of California oil purchased in a month. Then write an equation expressing the total cost o: а. the oil in terms of these two variables. b. Sabrina finds the following restrictions on the amounts of oil that can be purchased in a month. The refinery can handle as much as 40,000 barrels per month. ii. To stay in business, the refinery must process at least 18,000 barrels a month. iii. California oil has 6 pounds of impurities per barrel. Texas oil has only 2 pounds impurities per barrel. The most the refinery can handle is 120,000 pounds of impurities a month. Write a system of inequalities representing this information. Plot the graph of the system in part (b). Write an inequality saying that Pedro spends at least $660,000 per month buying oil. Darken the part of the feasible region in part (c) which satisfies this inequality. . What is the maximum feasible amount Pedro might have to spend in a month? How i. с. d. е.
questions. answering any . Oil Refinery Problem: Sabrina Burmeister is chief mathematician for Pedro Leum's Oil Refinery. Pedro can buy Texas oil, priced at $30 per barrel, and California oil, priced at $15 per arrel. He consults Sabrina to find out what is the most he might have to pay in a month for the il the refinery uses. Define variables for the number of barrels of Texas oil and the number of barrels of California oil purchased in a month. Then write an equation expressing the total cost o: а. the oil in terms of these two variables. b. Sabrina finds the following restrictions on the amounts of oil that can be purchased in a month. The refinery can handle as much as 40,000 barrels per month. ii. To stay in business, the refinery must process at least 18,000 barrels a month. iii. California oil has 6 pounds of impurities per barrel. Texas oil has only 2 pounds impurities per barrel. The most the refinery can handle is 120,000 pounds of impurities a month. Write a system of inequalities representing this information. Plot the graph of the system in part (b). Write an inequality saying that Pedro spends at least $660,000 per month buying oil. Darken the part of the feasible region in part (c) which satisfies this inequality. . What is the maximum feasible amount Pedro might have to spend in a month? How i. с. d. е.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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alnswering any
. Oil Refinery Problem: Sabrina Burmeister is chief mathematician for Pedro Leum's Oil
Refinery. Pedro can buy Texas oil, priced at $30 per barrel, and California oil, priced at $15 per
arrel. He consults Sabrina to find out what is the most he might have to pay in a month for the
il the refinery uses.
Define variables for the number of barrels of Texas oil and the number of barrels of
California oil purchased in a month. Then write an equation expressing the total cost o:
а.
the oil in terms of these two variables.
b.
Sabrina finds the following restrictions on the amounts of oil that can be purchased in a
month.
i.
The refinery can handle as much as 40,000 barrels per month.
ii. To stay in business, the refinery must process at least 18,000 barrels a month.
iii. California oil has 6 pounds of impurities per barrel. Texas oil has only 2 pounds
impurities per barrel. The most the refinery can handle is 120,000 pounds of
impurities a month.
Write a system of inequalities representing this information.
Plot the graph of the system in part (b).
Write an inequality saying that Pedro spends at least $660,000 per month buying oil.
Darken the part of the feasible region in part (c) which satisfies this inequality. .
What is the maximum feasible amount Pedro might have to spend in a month? How
much of each kind of oil would give this maximum cost?
с.
d.
е.
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