Sales and Operations Planning ABC Manufacturing is developing their 2020 SOP. The sales plan is already developed, using the forecast obtained from Demand Management and is as follows: (the numbers are in 1000’s)
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
420 375 425 600 200 100 150 250 420 390 420 450
Other problem parameters are: Initial worker level = 500, Initial inventory = 100,000, Required ending inventory = 220,000, Cost per unit = $50, one worker can produce 600 units/month Hiring cost = $150 per worker, Firing cost = $300 per worker, Inventory holding cost = 0.5% of the item cost/month, Shortage cost = 1% of item cost/month. 1. Develop a Chase plan 2. Develop a Level plan For each plan, calculate the end of month inventory (or shortage) level, monthly hiring and firing schedule and costs, monthly inventory and shortage costs, and the total cost.
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1. Chase Plan (without any shortages):
Month | Demand | Required ending inventory | Production required | Required # workers | # workers (integers) | Hire | Fire | Actual production | Actual ending inventory |
Dec | 100,000 | 500 | 500 | 100,000 | |||||
Jan | 420,000 | 0 | 320,000 | 533.33 | 534 | 34 | 0 | 320,400 | 400 |
Feb | 375,000 | 0 | 375,000 | 625.00 | 625 | 92 | 0 | 375,000 | 400 |
Mar | 425,000 | 0 | 425,000 | 708.33 | 708 | 83 | 0 | 424,800 | 200 |
Apr | 600,000 | 0 | 600,000 | 1,000.00 | 1,000 | 292 | 0 | 600,000 | 200 |
May | 200,000 | 0 | 200,000 | 333.33 | 333 | 0 | 667 | 199,800 | 0 |
Jun | 100,000 | 0 | 100,000 | 166.67 | 167 | 0 | 167 | 100,200 | 200 |
Jul | 150,000 | 0 | 150,000 | 250.00 | 250 | 83 | 0 | 150,000 | 200 |
Aug | 250,000 | 0 | 250,000 | 416.67 | 417 | 167 | 0 | 250,200 | 400 |
Sep | 420,000 | 0 | 420,000 | 700.00 | 700 | 283 | 0 | 420,000 | 400 |
Oct | 390,000 | 0 | 390,000 | 650.00 | 650 | 0 | 50 | 390,000 | 400 |
Nov | 420,000 | 0 | 420,000 | 700.00 | 700 | 50 | 0 | 420,000 | 400 |
Dec | 450,000 | 220,000 | 670,000 | 1,116.67 | 1,116 | 417 | 0 | 669,600 | 220,000 |
Totals | 1,501 | 883 | 4,320,000 | 223,200 | |||||
Marginal costs | $150 | $300 | $50 | $0.25 | |||||
Cost | $225,100 | $265,000 | $216,000,000 | $55,800 | |||||
$216,545,900 |
2. Level plan
Month | Demand | Required ending inventory | Production required | Leveled production | Required # workers | Hire | Fire | Actual production | Actual ending inventory | Backorder |
Dec | 100,000 | 500 | 100,000 | |||||||
Jan | 420,000 | 0 | 320,000 | 360,000 | 600 | 100 | 0 | 360,000 | 40,000 | 0 |
Feb | 375,000 | 0 | 375,000 | 360,000 | 600 | 0 | 0 | 360,000 | 25,000 | 0 |
Mar | 425,000 | 0 | 425,000 | 360,000 | 600 | 0 | 0 | 360,000 | 0 | 40,000 |
Apr | 600,000 | 0 | 600,000 | 360,000 | 600 | 0 | 0 | 360,000 | 0 | 280,000 |
May | 200,000 | 0 | 200,000 | 360,000 | 600 | 0 | 0 | 360,000 | 0 | 120,000 |
Jun | 100,000 | 0 | 100,000 | 360,000 | 600 | 0 | 0 | 360,000 | 140,000 | 0 |
Jul | 150,000 | 0 | 150,000 | 360,000 | 600 | 0 | 0 | 360,000 | 350,000 | 0 |
Aug | 250,000 | 0 | 250,000 | 360,000 | 600 | 0 | 0 | 360,000 | 460,000 | 0 |
Sep | 420,000 | 0 | 420,000 | 360,000 | 600 | 0 | 0 | 360,000 | 400,000 | 0 |
Oct | 390,000 | 0 | 390,000 | 360,000 | 600 | 0 | 0 | 360,000 | 370,000 | 0 |
Nov | 420,000 | 0 | 420,000 | 360,000 | 600 | 0 | 0 | 360,000 | 310,000 | 0 |
Dec | 450,000 | 220,000 | 670,000 | 360,000 | 600 | 0 | 0 | 360,000 | 220,000 | 0 |
Totals | 100 | 0 | 4,320,000 | 2,315,000 | 440,000 | |||||
Marginal costs | $150 | $300 | $50 | $0.25 | $0.50 | |||||
Cost | $15,000 | $0 | $216,000,000 | $578,750 | $220,000 | |||||
$216,813,750 |
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