We are given with $6 profit per football sold and $5.50 profit per baseball sold. There are 35-45 footballs and 40-55 baseballs sold but there are only 80 balls stock in the store. The maximum profit is incurred from selling more of football and less of baseball. The equal number could also be possible. Having 40 footballs and 40 baseballs can be a possibility. However, having 39 footballs and 41 baseballs has smaller profit than the equal number. Likewise, 41 footballs lead to 39 baseballs which are not within the range. The answer is 40 footballs and 40 baseballs with a total profit of $460.
