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One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A, B, C, and D have 10, 60, 60, and 25 units of on-hand inventory. Items A, B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D, E, and F require multiples of 60, 110, and 90, respectively, to be purchased. B has scheduled receipts of 30 units in Period 1. No other scheduled receipts exist. Lead times are one period for Items A, B, and D, and two periods for Items C, E, and F. Gross requirements for A are 10 units in Period 1, 20 units in Period 2, 60 units in Period 6, and 40 units in Period 8. Period OH=10 LT=1 Item A Gross requirements Scheduled receipts Projected available balance Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item B Scheduled receipts OH=60 Projected available balance LT=1 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item C Scheduled receipts OH=60 Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item D OH=25 LT=1 SS=0 Q=60 Item E OH=0 LT=2 Net requirements SS=0 Q=110 Gross requirements Item F OH=0 Scheduled receipts Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=90 Planned order releases Scheduled receipts Projected available balance Net requirements Planned order receipts Planned order releases Gross requirements Scheduled receipts Projected available balance Planned order receipts Planned order releases 8

One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A, B, C, and D have 10, 60, 60, and 25 units of on-hand inventory. Items A, B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D, E, and F require multiples of 60, 110, and 90, respectively, to be purchased. B has scheduled receipts of 30 units in Period 1. No other scheduled receipts exist. Lead times are one period for Items A, B, and D, and two periods for Items C, E, and F. Gross requirements for A are 10 units in Period 1, 20 units in Period 2, 60 units in Period 6, and 40 units in Period 8. Period OH=10 LT=1 Item A Gross requirements Scheduled receipts Projected available balance Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item B Scheduled receipts OH=60 Projected available balance LT=1 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item C Scheduled receipts OH=60 Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item D OH=25 LT=1 SS=0 Q=60 Item E OH=0 LT=2 Net requirements SS=0 Q=110 Gross requirements Item F OH=0 Scheduled receipts Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=90 Planned order releases Scheduled receipts Projected available balance Net requirements Planned order receipts Planned order releases Gross requirements Scheduled receipts Projected available balance Planned order receipts Planned order releases 8

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Find the planned order for all items.
One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A, B, C, and D have 10, 60, 60, and 25 units of on-hand inventory. Items A, B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D, E, and F require multiples of 60, 110, and 90, respectively, to be purchased. B has scheduled receipts of 30 units in Period 1. No other scheduled receipts exist. Lead times are one period for Items A, B, and D, and two periods for Items C, E, and F. Gross requirements for A are 10 units in Period 1, 20 units in Period 2, 60 units in Period 6, and 40 units in Period 8.
Transcribed Image Text:One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A, B, C, and D have 10, 60, 60, and 25 units of on-hand inventory. Items A, B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D, E, and F require multiples of 60, 110, and 90, respectively, to be purchased. B has scheduled receipts of 30 units in Period 1. No other scheduled receipts exist. Lead times are one period for Items A, B, and D, and two periods for Items C, E, and F. Gross requirements for A are 10 units in Period 1, 20 units in Period 2, 60 units in Period 6, and 40 units in Period 8.
Period OH=10 LT=1 Item A Gross requirements Scheduled receipts Projected available balance Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item B Scheduled receipts OH=60 Projected available balance LT=1 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item C Scheduled receipts OH=60 Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item D OH=25 LT=1 SS=0 Q=60 Item E OH=0 LT=2 Net requirements SS=0 Q=110 Gross requirements Item F OH=0 Scheduled receipts Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=90 Planned order releases Scheduled receipts Projected available balance Net requirements Planned order receipts Planned order releases Gross requirements Scheduled receipts Projected available balance Planned order receipts Planned order releases 8
Transcribed Image Text:Period OH=10 LT=1 Item A Gross requirements Scheduled receipts Projected available balance Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item B Scheduled receipts OH=60 Projected available balance LT=1 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item C Scheduled receipts OH=60 Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=L4L Planned order releases Gross requirements Item D OH=25 LT=1 SS=0 Q=60 Item E OH=0 LT=2 Net requirements SS=0 Q=110 Gross requirements Item F OH=0 Scheduled receipts Projected available balance LT=2 Net requirements SS=0 Planned order receipts Q=90 Planned order releases Scheduled receipts Projected available balance Net requirements Planned order receipts Planned order releases Gross requirements Scheduled receipts Projected available balance Planned order receipts Planned order releases 8
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