$13.$ A company is to manufacture $200$ parts per set up and that the job calls for $6$ set ups. Calculate the cost of production using the following data:

Machining time $=24$ minutes per component

Non$-$machining time $=16$ minutes per component

Tool sharpening $=2$ minutes per component

Set up time $=80$ minutes per set up

Gauging and inspection: $16$ seconds and $8$ checks per component

Tool life $=12$ hours

Direct labour cost $=$ Rs$.3$ per hour.