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Ch 6 Assigned HW Solutions

Ch 6 Assigned HW Solutions - 6.11 a The fixed EOQ D =...

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Unformatted text preview: 6.11 a. The fixed EOQ: D = 117.5 unitsfperiod EOQ = 2AD = 274 units VI" The results: Starting Ending Period Invento Demand Invento 1 200 0 200 0 2 300 0 300 O 3 250 . 0 180 70 4 0 7O 70 0 5 320 0 50 270 6 0 270 20 250 7 0 250 10 240 8 0 240 30 210 9 0 210 90 120 10 0 120 120 0 1 1 340 D 150 190 12 0 190 190 0 138 Total Cost = 5060) + (1350)($0.5) = $1475 b. The Wagner-Whitin table follows: 1 2 3 4 S 6 7 S 9 u—Ih—I—n NHO Replenishments are made in months 1, 3, 9 and 11 for the intervening months, that is, with quantities given below. Starting Ending Period Q Inventog Demand Inventogz l 500 0 200 300 2 0 300 300 0 3 360 0 180 180 4 O 180 70 110 5 0 110 50 60 6 0 60 20 40 7 0 40 10 30 8 U 30 30 0 9 210 0 90 120 10 O 120 120 O 1 1 340 0 150 190 12 0 190 190 0 L010 The total cost is 4(160) + 1030(0.5) = $1155. 139 c. The Silver-Meal heuristic: Starting Ending Period Q Inventogx Demand Inventog 1 500 0 200 300 2 0 300 300 D 3 330 0 180 ' 150 4 0 150 _ 70 80 5 0 80 50 30 6 0 30 20 10 7 0 10 - 10 D 8 120 0 30 90 9 0 90 90 0 1 0 270 0 120 150 l 1 0 150 150 0 12 190 D 190 0 Q Total cost is 5060) + 810(0.5) = $1205. d. Least unit cost: Starting Ending Period Q Inventogg Demand Inventog 1 500 0 200 300 2 0 300 300 {J 3 250 O - 180 70 4 0 7O 70 0 5 200 0 50 150 6 0 150 20 130 7 0 130 10 120 8 0 120 30 90 9 0 90 90 O 10 270 O 120 150 1 1 0 150 150 0 12 190 0 190 0 I M Total cost is 5(160) + 1010(05) = $1305. 140 e. Part Period Balancing: Startin g Ending Period Q Inventom Demand Inventorx 1 500 0 200 300 2 O 300 300 0 3 330 O 180 150 4 0 150 70 80 5 0 80 50 _ 30 6 0 30 20 10 7 0 10 10 O 8 240 0 30 210 9 0 210 90 120 10 0 120 120 0 1 l 340 - {J 150 190 12 0 190 190 0 10 0 Total cost is 4060) + 1090(0.5) = $1185. f. Periodic Order Quantity: The EOQ is 274 units, and the average demand is 117.5. So the EOQ would last, on average around 2 periods, which is closer than using a period quantity of 3 periods. Therefore, use a period of 2, or order every other period. Starting Ending Period Q Inventor! Demand Inventorx 1 500 O 200 300 2 0 300 300 0 3 250 0 180 70 4 0 70 70 0 5 70 0 50 20 6 0 20 20 ' 0 7 40 0 10 30 8 0 30 30 0 9 210 0 90 120 10 0 120 120 0 1 1 340 0 150 190 12 0 190 190 0 E The total cost is 6060) + 730(0.5) = $1325. 141 ...
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