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Question: Formulate a linear programming model for this problem: LIst the objective function and constraints

by | Nov 30, 2023 | Posted Questions



Question: Formulate a linear programmingmodel for this problem: LIst the objective function andconstraintsFormulate a linear programming
model for this problem: LIst the objective function and
constraints

Show transcribed image text A refinery blends four petroleum components into three grades of gasoline – regular, premium, and low-lead. The maximum quantities available of each component and the cost per barrel are shown below: To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentage of the components in each blend. The limits as well as the selling prices for the various grades are as follows: The refinery wants to produce at least 3000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. Formulate a linear programming model for this problem, and solve using the computer.

A refinery blends four petroleum components into three grades of gasoline – regular, premium, and low-lead. The maximum quantities available of each component and the cost per barrel are shown below: To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentage of the components in each blend. The limits as well as the selling prices for the various grades are as follows: The refinery wants to produce at least 3000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. Formulate a linear programming model for this problem, and solve using the computer.

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