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Sales and Operations Planning ABC Manufacturing is developing their 2020 SOP. The sales plan is already...

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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Answer #1

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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