Linear Prog COP4355_Part_34

# Linear Prog COP4355_Part_34 - Chapter 12 Inventory and...

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140 Chapter 12 Inventory and Production Models 12.12 ()( )( ) () 2 24,000 500 Q* = = 2,000 units/production run 24 .25 12.13 2 52,000 300 Q* = = 3,747 units/run 1,800 - 1,000 5 1,800    3, 7 4 7 1,000 = 3.75 weeks supply 12.14 Q* = 14242.61 12.15 Q* = 11659.66 12.16 Q* = 36.22 12.17 Q* = 585.09 12.18 Q* = 3333.33; Q MAX = 2500; AHC = \$26,250/yr; ASC = \$26,250/yr 12.19 D = 1000 units/yr; Q* = 38.72983; AHC = \$0.04 12.20 TC = \$12,574.46/yr; TC w/discount = \$11,377.90/yr; Q* = 661;; Savings from using discount = \$1,196.56/yr 12.21 Q* = 2451.938 units/order; TC = \$907,341.13/yr 12.22 (a) 2 800 50 Q* = = 400 cases .5 (b) oh TIC = 2 D C C = ( ) ( ) 2 800 50 .5 = \$200 (c) ( ) s hs 2 800 50 .5 + 1 2DC C + C Q* = = = 490 cases CC . 5 1 (d) ( ) os hh s 2 800 50 2DC C 1 V* = = = 327 cases C C + C .5 Units out of stock = 490 – 327 = 163 cases.

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Solutions Manual and Workbook 141 12.22 (continued) (e) () ( ) oh s hs 250 .5+ 1 2C C + C T = = = 0.612 yr CD C .5 800 1 = (.612)(300) = 184 days S Out of stock period = T Q = 163 184 490 =61.2 days. (f) Maximum inventory on hand = V* = 327 cases (g) ( ) ( ) s C1 TIC = 2 D C C = 2 800 50 .5 C + C .5 +1 = \$163.29 12.23 (c) ( ) s 2 800 50 .5 + 5 2DC C + C Q* = = = 420 cases CC . 5 5 (d)

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Linear Prog COP4355_Part_34 - Chapter 12 Inventory and...

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