1. PLEASE SHOW ALL WORK. 2. Please check for proper citation, spelling, grammar, etc. Part 1 Use the following information about a project. Assume all activity times are in weeks. Activity A B C D E F G H Immediate Predecessor ---A C B F D, E, G Optimistic Most Likely Pessimistic 12 16 25 7 14 22 5 10 14 15 18 25 8 12 18 9 12 15 18 22 29 15 19 27 Draw an AON network for this project. Compute the expected time estimate (te) for all activities. Conduct a forward pass to compute early start and early finish times, and times. Conduct a backward pass to compute late start and late finish times. Compute activity slacks. Identify all paths through the network and their cumulative activity times (Σt). Identify the critical path and the total project duration (T). What is the likelihood of finishing the project in 70 or more weeks? What is the likelihood of finishing the project in 65 or fewer weeks? Part 2 Below is the aggregate demand forecast for a product family for the next four quarters. Forecasted Quarter 1 2 3 4 Previous quarter’s output/production Planning period beginning inventory Regular time production cost Overtime cost Overtime constraint Inventory holding cost Hiring workers Firing workers Sub-contracting cost Sub-contracting constraint Stockout cost Demand 1400 units 1800 units 2100 units 2300 units 1500 units 200 units $30 per unit $15 extra per unit Maximum of 400 units per quarter $10 per unit per quarter based upon count at end of quarter $5,000 per 100 units of production $7,000 per 100 units of production $50 per unit Maximum of 1,500 units per quarter $60 per unit Using provided worksheets, calculate the total cost of: 1. Plan A: Meet demand by hiring & firing (i.e., pure chase strategy) 2. Plan B: Produce at a level rate of 1,850 and use inventory to meet demand (i.e., pure level strategy). 3. Which of the plans will you select and WHY? Part 3 Use the following information for the questions below. Bucket Forecast Orders 1 1200 1300 2 900 550 3 900 400 4 1200 350 5 1200 100 6 1100 0 Assume that we currently have 400 units on-hand, and that we produce in batches of 2,000. 1. Compute the projected available balance, schedule the necessary lots, and compute the available to promise cumulative available to promise balances using the provided MPS worksheet. 2. When is the soonest that we could promise delivery of 600 units? 3. When is the soonest that we could promise delivery of 1,900 units? POH = MPS = Bucket Ft Ot At ATPt Cum. ATPt MPSt 1 2 3 4 5 6
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