A manufacturer produces two kinds of sets , set A consist of 2 bats and 3 balls and earns profit of $3, set B consist of 2 balls , 5 bats and a net which earns profit of $5, in an hour a factory can produce at most 56 bats, 108 balls and 18 nets. Summarize in a table assuming that x sets of A and y sets of B are made each hour and write an expression if profit is made $p . Determine how many sets of set A and set B manufacturer must make to maximize his profit ? Are any components under utilized when the maximum profit is achieved?