11. A manufacturer of baby dolls makes three types of dolls: Doll A, Doll B, and Doll C. Processing of these dolls is done on three machines, M1, M2 and M3• Doll A requires 2 hours on machine M1 and 3 hours on machine M3• Doll B requires 3 hours on machine M1, 2 hours on machine M2 and 2 hours on machine M3, while doll C requires 5 hours on machine M2 and 4 hours on machine M3• There are 8 hours of time per day available on machineM1, 10 hours of time available on machineM2 and 15 hours of time per day available on machine M3• The profit gained from doll A is Rs 3 per doll, from doll B is Rs 5 per doll and from doll C is Rs 4 per doll.

What should be the daily production of each type of dolls? Which machine(s) would be idle according to this plan? BY how much?