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Linear Prog COP4355_Part_33

# Linear Prog COP4355_Part_33 - Chapter 12 Inventory and...

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136 Chapter 12 Inventory and Production Models Chapter 12 Inventory and Production Models 12.1 (a) ( ) ( ) ( ) 2 100,000 200 Q* = 2,000 units/order 10 = (b) Cost/order = (2,000)(\$25) = \$50,000 (c) 100,000 d = = 400/day 250 (d) 2,000 T* = = 5 400 working days/cycle (1 order/wk) 12.2 (a) ( ) ( ) ( ) 2 60,000 200 Q* = 4,000 units/order 1.5 = (b) 60,000 N* = = 15/year 4,000 (c) 360 T* = = 24 days between orders 15 12.3 (a) ( ) ( ) ( ) ( ) ( ) 2 72,000 30 Q* = = 1,600 units/order .16875 10 ( ) s R L S = 72,000 (b) Sales rate (R) = = 200/day 360 Q = T R 2 200 = 400 units 72,000 (c) N* = = 45 orders/year 1,600 12.4 ( ) ( ) ( ) ( ) ( ) 2 20,000 250 Q* = = 1,000 units/order .05 200

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Solutions Manual and Workbook 137 20,000 =1666.667 units/month 12 1000 =.6 months supply/order 1666.667 or 20,000 N* = 20/year 1,000 = 12 12 .6 month/order N* 20 = = 12.5 ( ) ( ) ( ) ( ) 2 4,800 120 Q* = = 480 units/order 5 4,800 N* = = 10 orders per year 480 12.6 ( ) ( ) ( ) ( ) 2 150,000 93.75 Q* = = 7,500 units/order .5 150,000 = 2884.62 units/year 52 7,500 = 2.6 2884.62 weeks supply or 150,000 N* = = 20 order/year 7,500 52 = 2.6 weeks/order 20
138 Chapter 12 Inventory and Production Models QUANTITY DISCOUNTS 12.7 72,000 = 6,000 units/order (with discount) 12 TAC 1 = 72,000 1,600 (30) + 1,600 2 (10)(.16875) + 720,000 = \$722,700 TAC 2 = 12(30) + 6,000 2 (9.8)(.16875) + 705,600 = \$710,921.25 Accept the discount and save \$722,700 - \$710,921.25 = \$11,778.75 12.8 Without discount: 1 O h D Q TAC = C + C + DC Q 2 ( ) ( ) ( ) ( ) 20,000

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