A dealer wishes to purchase a number of fans and sewing machines. He has only
?5760 to invest and has space for at most
20 items. A fan and sewing machine cost
?360 and
?240 respectively. He can sell a fan at a profit of
?22 and sewing machine at a profit of
?18. Assuming that he can sell whatever he buys, how many fans and sewing machines respectively he sell in order to maximize his profit?