A factory manufactures two products, A and B. Each product requires the use of three machines, Machine I, Machine II, and Machine III. The time requirements and total hours available on each machine are listed below. Machine I Machine II Machine IIIProduct A 1 2 4Product B 2 2 2Total Hours 76 94 176If product A generates a profit of $40 per unit and product B a profit of $60 per unit, how many units of each product should be manufactured to maximize profit, and what is the maximum profit?To maximize profit, the factory should produce units of product A and units of product B. The maximum profit would be