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The manager of an oil refinery must decide on the optimal number of two possible blending processes.

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Process 1:

Requires 5 units of crude oil A and 3 units of crude oil B

Produces 6 units of winter gasoline and 8 units of summer gasoline

Process 2:

Requires 4 units of crude oil A and 5 units of crude oil B

Produces 4 units of winter gasoline and 4 units of summer gasoline

The maximum amount available of crude A and B are 200 units and 150 units, respectively. Market requirements show that at least 100 units of winter gasoline and 80 units of summer gasoline must be produced.

The profits per production run from process 1 and process 2 are 3 million dollars and 4 million dollars, respectively.

Construct the Linear Programming model required to maximize the profit. No need to solve for the optimal solution.

dolution

 
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