Q(18) A manufacturer manufactures two types of plastic bags A and B using two machines M₁ and M₂ .To manufacture a bag of type A, machine M₁ is operated for 2 minutes and machine M₂ for 1 minute; to manufacture a bag of type B, machine M₁ is operated for 3 minutes and machine M₂ for 4 minutes. Each machine can be operated for atmost 8 hours per day. A bag of type A is sold at a profit of ₹0.50 and a bag of type B is sold at a profit of ₹0.75. How many bags of each type should be manufactured and sold per day so as to maximise his profit. Form an L.P.P. and solve it graphically. Why plastic bags should not be used? What values are being promoted?

Solution

,,