As the number of units of P is to be 3 times that of Q
We'll be producing P by M2
∴ In 8 hrs M2 will produce $\dfrac {{8}*{60}}{8}$ = 60 units of product P
So, we have to produce $\dfrac {60}{3}$ = 20 units of product Q in order to maintain the given condition
To produce 20 units of product Q by M1 time required = (20 * 6) min = 120 min.
∴ Remaining time of M1 can be utilized = ((8 * 60) - 120) min = 360 min
In 360 min M1 have to maintain
the number of units of P has to be 3 times that of Q
To produce 3 units of product P, M1 needs (3*10)min = 30 min
& to produce 1 unit of product Q, M1 needs (1*6)min = 6 min
So, in every (30 + 6)min = 36 min M1 can produce 3 units of product P and 1 unit of product Q
∴ In the remaining 360 min M1 can produce (10*3)= 30 units of product P and (1*10) = 10 units of product Q
In order to maintain the given criterion M1 doesn't have any idle time and M2 also doesn't have any idle time