Oil Refinery Probler finery. Pedro can buy T crel. He consults Sabrin the refinery uses. Define variables California oil pur a. the oil in terms of b. Sabrina finds the month. The refinery ii. To stay in bu iii. California oi impurities pe impurities a Write a system of Plot the graph of Write an inequali Darken the part o What is the maxin i. с. d. е. much of each kin
Oil Refinery Probler finery. Pedro can buy T crel. He consults Sabrin the refinery uses. Define variables California oil pur a. the oil in terms of b. Sabrina finds the month. The refinery ii. To stay in bu iii. California oi impurities pe impurities a Write a system of Plot the graph of Write an inequali Darken the part o What is the maxin i. с. d. е. much of each kin
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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Can you please help me on the oil refinery problem.
Transcribed Image Text:uestións.
Oil Refinery Problem: Sabrina Burmeister is chief mathematician for Pedro Leum's Oil
efinery. 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
1 the refinery uses.
a.
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 of
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 of
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).
d. 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?
i.
с.
е.
Seedlings Problem: Joey wants to order a combination of oak and pine seedlings. Joey
ings. The box normally use
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