In operation is used to machine 10 kinds of parts. The total weekly requirements for all types of parts is 900. Each part requires 20 sec machine time. Assume the machine is to be scheduled for no more than 90% of the total time available time.A normal workweek is 40 hours week but 4 hours a week are reserved for normal machine preventive and repair maintenance. If the set up for each kind of part is one hour.

1) What is the max no of set ups per week.

2) what is the smallest allowable lot size, assuming all batches are of same size

3) To reduce the lot size in a) by 50%, what must be the set up time be reduced to ?