Q10 The manager of an oil refinery must decide on the optimal mix of two possible blending processes of which the inputs and outputs per production run are as follow Process Input(units) Output(units) Crude A Crude B Gasoline X Gasoline Y 1 2 5 4 3 5 5 4 8 4 The maximum amount available for crude A and B is 200 units and 150 units respectively. Market requirement show that at least 100 units of gasoline X and 80 Units of gasoline Y must be produced . the profits per production run for process 1 and process 2 are Rs. 300 and Rs. 400 respectively. Solve the LPP by Graphical Method.
Ans: Maximize (Z) = 300×1+400×2
Subject to constraints
5×1+4×2≤200, 3×1+5×2≤150
5×1+4×2≥100, 3×1+5×2≥80
Non Negative Restrictions x1, x2≥0
Z=180000/13, x1=400/13, x2=150/13
