3. In a given factor},r there are three machines M1, M2, MJ usedin making two products P1, P2. One unit of P. occupies M1 5 minutes, M2 3 minutes, and M1 4 minutes. Thecorresponding gures for one unit of P2 areM1 1 minute, M2 4 minutes, M3 3 minutes. The net prot per unit of P1 produced is 30 dollars, and for P2 20 dollars {independent ofwether the machines are used to full capacity or not). 'What production plan gives the most prot? Marks _f10 Hint: Assume that x, units of?1 and :12 units of P2 areproduced per hour