SETZER_HW04_02 - Aggregate Plan Decision Variables Ot...

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Aggregate Plan Decision Variables Constraints Period Demand Capacity 0 50,000 1 0 0 0 950,000 1,000,000 -250000 2 0 0 0 1,100,000 1,100,000 -100000 3 0 150,000 0 1,150,000 1,000,000 -50000 4 0 150,000 0 1,200,000 1,200,000 0 5 25,000 0 0 1,350,000 1,500,000 0 6 25,000 0 250,000 1,350,000 1,600,000 0 7 25,000 0 250,000 1,350,000 1,600,000 0 8 0 0 0 900,000 900,000 -300000 9 0 0 0 1,100,000 1,100,000 -100000 10 0 400,000 0 1,200,000 800,000 0 11 0 200,000 0 1,200,000 1,400,000 0 12 25,000 50,000 200,000 1,350,000 1,700,000 0 maximum r maximum to maximum to Aggregate Plan Costs Period Overtime Inventory Subcontract Material 1 4,000,000 0 0 0 19000000 (a) 2 4,000,000 0 0 0 22000000 3 4,000,000 0 450,000 0 23000000 4 4,000,000 0 450,000 0 24000000 5 4,000,000 750,000 0 0 27000000 6 4,000,000 750,000 0 6,500,000 27000000 7 4,000,000 750,000 0 6,500,000 27000000 8 4,000,000 0 0 0 18000000 (b-i) 9 4,000,000 0 0 0 22000000 10 4,000,000 0 1,200,000 0 24000000 11 4,000,000 0 600,000 0 24000000 12 4,000,000 750,000 150,000 5,200,000 27000000 Total Cost: € 356,050,000 Ot Overtime It Inventory Ct Subcontract Pt Production Regular Time
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s Inv. Bal. O-T Lim. Capacity: Pt <= 960*Wt + 6*Ot 0 -25000 Pt - 1200000 - 6*Ot <= 0 0 -25000 0 -25000 Inv. Bal: It-1 + Pt + Ct = Dt + It 0 -25000 It-1 + Pt + Ct - Dt - It = 0 0 0 0 0 O-T Lim.: Ot <= 20*Wt 0 0 Ot - 25000 <= 0 0 -25000 0 -25000 0 -25000 0 -25000 0 0 regular-time production per worker per month: 20*8*6 = 960 total regular-time production per month: 960*1,250 = 1,200,000 total overtime per month: 1,250*20 = 25,000 WHAT IS THE AVERAGE PER UNIT OF IN-HOUSE PRODUCTION (INCLUDING INVENTORY HOLDING AND OVERTIME COST) IF THE THIRD PARTY IS NOT USED? The annual cost from 1(a) divided by the sum of production is
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SETZER_HW04_02 - Aggregate Plan Decision Variables Ot...

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