A dealer wishes to purchase
a number of fans and sewing machine. He has only Rs57600 to invest and has space for at most 20items .A fan costs him Rs3600 and a sewing machine costs him Rs2400. He expects to sell a fan at a profit of Rs220 and a sewing machine at a profit of Rs180 assuming that he can sell all his items that he buys how should he invest his money to maximize his profit