A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 6,940 and 6,930. The time requirements and profit per unit for each product are listed below. A B CMachine 17 10 9Machine II 6 7 13Profit $9 $12 $16How many units of each product should be manufactured to maximize profit, and what is the maximum profit?Set up the linear programming problem, with A, B, and C representing the number of units of each product that are produced.Maximize P = subject to:__________ = 6,940__________ = 6,930