A oil company requires 12000, 20000 and 15000 barrels of high grade, medium grade and low grade oil respectively. Refinery A produces 100, 300 and 200 barrels per day of high, medium and low grade oil respectively whereas the refinery B produces 200, 400 and 100 barrels per day respectively. If A costs 400 per day and B cost 300 per day to operate. To find how many days should each be run to minimize the cost of requirement, formulate this as a L.P.P.

Answer

`Z_(min ) ` (cost) = 400 x+ 300y
Subject to the constraints :
` " " {:( x+2y ge 120 ),(3x+ 4y ge200),(2x+ yge150 ),(x ge 0 y ge 0):}`