Q5 A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5,760 to invest and has space for almost 20 items. A fan cost him Rs. 360 and sewing machine Rs. 240. His expectation is that he can sell a fair at profit of Rs. 22 & a sewing machine at a profit of Rs. 18. Assuming that he can sell all the items that can buy, how should be invest his money in order to maximize his profit. Formulate it as a LPP and then use the Graphical method to solve it.
Ans: Maximize (Z) = 22×1+18×2
Subject to constraints
360×1+240×2≤5760, x1+x2≤20
Non Negative Restrictions x1, x2≥0
Z=392, x1=8, x2=12
