Petroleum Refinery A refinery blends four petroleum components into three grades of gasoline-regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as follows: Maximum Barrels Available/Day Cost/Barrel $ 9 $ 7 $12 $ 6 Component 1 5,000 2 2,400 4,000 1,500 4 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the various grades are as follows: Selling Price/Barrel $12 Grade Component Specifications Regular Not less than 40% of 1 Not more than 20% of 2 Not less than 30% of 3 Premium Not less than 40% of 3 $18 Diesel Not more than 50% of 2 $10 Not less than 10% of 1 The refinery wants to produce at least 3,000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.

Petroleum Refinery A refinery blends four petroleum components into three grades of gasoline-regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as follows: Maximum Barrels Available/Day Cost/Barrel $ 9 $ 7 $12 $ 6 Component 1 5,000 2 2,400 4,000 1,500 4 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the various grades are as follows: Selling Price/Barrel $12 Grade Component Specifications Regular Not less than 40% of 1 Not more than 20% of 2 Not less than 30% of 3 Premium Not less than 40% of 3 $18 Diesel Not more than 50% of 2 $10 Not less than 10% of 1 The refinery wants to produce at least 3,000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Petroleum Refinery
A refinery blends four petroleum components into three grades of gasoline-regular, premium, and diesel. The
maximum quantities available of each component and the cost per barrel are as follows:
Maximum Barrels Available/Day
Cost/Barrel
$ 9
$ 7
$12
$ 6
Component
1
5,000
2,400
4,000
1,500
2
3
4
To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the
percentages of the components in each blend. The limits as well as the selling prices for the various grades are as
follows:
Component Specifications
Not less than 40% of 1
Selling Price/Barrel
$12
Grade
Regular
Not more than 20% of 2
Not less than 30% of 3
$18
$10
Premium
Not less than 40% of 3
Diesel
Not more than 50% of 2
Not less than 10% of 1
The refinery wants to produce at least 3,000 barrels of each grade of gasoline. Management wishes to determine the
optimal mix of the four components that will maximize profit.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

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