Formulate the blending problem as linear programming model

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The manager of the Boilen Oil Company wishes to find the optimal mix of two possible Blending processes. For Processl, an input of one unit of Crude Oil A and three units of Crude Oil B produces an output of five units of Gasoline X and two units of Gasoline Y. For Process 2, an input of four units of Crude Oil A and two units of Crude Oil B produces an output of three units of Gasoline X and eight units of Gasoline Y. Let xi and x2, be the number of units the company decides to use of Process 1 and Process 2, respectively. The maximum amount of Crude Oil A available is 100 units and of Crude Oil B, 150 units. Sales commitments require that at least 200 units of Gasoline X and 75 units of Gasoline Y are produced. The unit profits of Process 1 and Process 2 are pi and p2 respectively. Formulate the blending problem as a linear programming model.

Reference no: EM132089795

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