Q.1.Marsel now needs a rough-cut capacity check to determine whether the capacity at each center is adequate to support the expected demand. Using the forecasted demand as your proposed master schedule, calculate the load profile for each center for each week of the second quarter. Highlight any weeks in which problems might occur.

Q.2 Albert knows from past experience that he has some flexibility in his workforce. Therefore, as long as the total capacity needed does not exceed the total available, the master schedule should be feasible. He also knows that he can increase his capacity total and additional 2.5% through extra overtime and still be within his budget. Given this new information, what recommendations do you have for Joe? What weeks are likely to be problems, and how should he use the capacity in those weeks? How important to compnay is it to have a flexible workforce?

Q.3 ABC Company uses overtime, inventory and subcontracting to absorb the fluctuations in demand for its playgrounds for children. An aggregate production plan is devised annually and updated quarterly. Cost data, expected demand, and available capacities in units for the next four quarters are given here. Demand must be satisfied in the periods it occurs; that is, no backordering is allowed. Design a production plan that will satisfy demand at minimum cost.

Expected Regular Overtime Subcontract

Quarter Demand Capacity Capacity Capacity

1 650 750 100 500

2 1250 950 150 500

3 1350 1050 200 500

4 2750 1050 200 500

Regular production cost per unit £200

Overtime production cost per unit £250

Subcontracting production cost per unit £300

Inventory holding cost per unit per period £30

Beginning Inventory 300 units

Q4-Five architectural rendering jobs are waiting to be assigned at Jack, Nick and Bruce Architects. Their processing (work) times and due dates are given in the following table.

Job Job Work (processing) time (days) Job Due Date (days)

A 6 8

B 2 6

C 8 18

D 3 15

E 9 23

1. Using FCFS calculate
   1. Average completion time
   2. System utilization
   3. Average number of jobs in the system
   4. Average job lateness
2. Using SPT calculate
   1. Average completion time
   2. System utilization
   3. Average number of jobs in the system
   4. Average job lateness
3. Using EDD calculate
   1. Average completion time
   2. System utilization
   3. Average number of jobs in the system
   4. Average job lateness
4. Using LPT calculate
   1. Average completion time
   2. System utilization
   3. Average number of jobs in the system
   4. Average job lateness