manager of an oil refinery has 8 million barrels of crude oil A and 5 million barrels of crude oil B allocated for production during the coming month. These resources can be used to make either gasoline, which sells for $38 per barrel, or home heating oil, which sells for $33 per barrel. The three production processes have the characterstics in the pictured table. All quantities are in barrels. For example, with the first process, 3 barrels of crude A and 5 barrels of crude B are used to produce 4 barrels of gasoline and 3 barrels of heating oil at a cost of $51. Formulate a linear programming problem that would help the manager maximize net revenue over the next month. Re-write this LP problem using matrix-vector notations. This problem is an example from lecture that was never solved.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manager of an oil refinery has 8 million barrels of crude oil A and 5 million barrels of crude oil B allocated for production during the coming month. These resources can be used to make either gasoline, which sells for $38 per barrel, or home heating oil, which sells for $33 per barrel. The three production processes have the characterstics in the pictured table. All quantities are in barrels. For example, with the first process, 3 barrels of crude A and
5 barrels of crude B are used to produce 4 barrels of gasoline and 3 barrels of heating oil at a cost of $51. Formulate a linear programming problem that would help the manager maximize net revenue over the next month. Re-write this LP problem using matrix-vector notations.

This problem is an example from lecture that was never solved. 

Input crude A
Input crude B
Output gasoline
Output heating oil
Cost
Process 1 Process 2 Process 3
3
1
5
4
3
$51
1
1
1
$11
5
3
3
4
$40
Transcribed Image Text:Input crude A Input crude B Output gasoline Output heating oil Cost Process 1 Process 2 Process 3 3 1 5 4 3 $51 1 1 1 $11 5 3 3 4 $40
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