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A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania. These crudes have different delivered prices as indicated below. The refinery makes four basic end products: regular gasoline, high-test gasoline, diesel fuel, and fuel oil. The catalytic cracking and characteristics of the refinery dictate a limited and different product mix for different crudes. Data are as follows: Crude Oklahoma Texas Wyoming Pennsylvania Requirement s Gallons Delivered price per gallon (pesos) 7 6 5 9 Optimal Through Put for each Crude High-test gasoline Regular gasoline 30% 20% 10% 30% 2,000 10% 10% 50% 1,500 Diesel fuel 40% 60% 30% 20% 2,800 Fuel oil 20% 10% 60% 3,300

A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania. These crudes have different delivered prices as indicated below. The refinery makes four basic end products: regular gasoline, high-test gasoline, diesel fuel, and fuel oil. The catalytic cracking and characteristics of the refinery dictate a limited and different product mix for different crudes. Data are as follows: Crude Oklahoma Texas Wyoming Pennsylvania Requirement s Gallons Delivered price per gallon (pesos) 7 6 5 9 Optimal Through Put for each Crude High-test gasoline Regular gasoline 30% 20% 10% 30% 2,000 10% 10% 50% 1,500 Diesel fuel 40% 60% 30% 20% 2,800 Fuel oil 20% 10% 60% 3,300

Advanced Engineering Mathematics
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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INSTRUCTION: Set up a new program of equality constraints and obtain a simplex solution to the following linear programming problem. Write your answers in a clean sheet of paper and upload it in the google classroom. A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania. These crudes have different delivered prices as indicated below. The refinery makes four basic end products: regular gasoline, high-test gasoline, diesel fuel, and fuel oil. The catalytic cracking and characteristics of the refinery dictate a limited and different product mix for different crudes. Data are as follows: Delivered Optimal Through Put for each Crude price per gallon (pesos) Crude Regular gasoline High-test gasoline Diesel fuel Fuel oil 30% 20% 10% 10% 20% 10% Oklahoma 7 40% Техas 60% Wyoming Pennsylvania Requirement s Gallons 5 10% 30% 60% 30% 50% 20% 2,000 1,500 2,800 3,300 Requirement: 1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use letters' w, x, y, z as your basic variables) 2) Answer the ff. questions: a. What is the total minimum price? b. How many gallons of crude oil (Texas) is required to get the minimum price? c. What is the outgoing variable of the initial simplex table? d. What column is the optimum column of the second simplex table? e. What row is the pivot row of the third simplex table?
Transcribed Image Text:INSTRUCTION: Set up a new program of equality constraints and obtain a simplex solution to the following linear programming problem. Write your answers in a clean sheet of paper and upload it in the google classroom. A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania. These crudes have different delivered prices as indicated below. The refinery makes four basic end products: regular gasoline, high-test gasoline, diesel fuel, and fuel oil. The catalytic cracking and characteristics of the refinery dictate a limited and different product mix for different crudes. Data are as follows: Delivered Optimal Through Put for each Crude price per gallon (pesos) Crude Regular gasoline High-test gasoline Diesel fuel Fuel oil 30% 20% 10% 10% 20% 10% Oklahoma 7 40% Техas 60% Wyoming Pennsylvania Requirement s Gallons 5 10% 30% 60% 30% 50% 20% 2,000 1,500 2,800 3,300 Requirement: 1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use letters' w, x, y, z as your basic variables) 2) Answer the ff. questions: a. What is the total minimum price? b. How many gallons of crude oil (Texas) is required to get the minimum price? c. What is the outgoing variable of the initial simplex table? d. What column is the optimum column of the second simplex table? e. What row is the pivot row of the third simplex table?
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