ABC Cabinets received a contract to produce bookshelf speakers (BS) and floor speakers (FS) over the next 2 months. The contract says ABC must deliver 2100 BS and 1500 FS at the end of month 1 and deliver 1200 BS and 2600 FS at end of month 2. The time to make a BS is 0.7hr and a FS is 1hr. Raw material costs $10 for each BS and $12 for each FS and there is an unlimited amount available. Labor costs are $22/hr using regular production time and $33/hr using overtime. ABS has up to 2400hrs of regular production time each month and up to 1000 additional hours of overtime each month. Any cabinets left at the end of month 1 can be stored for $5/cabinet. (a) Formulate an LP to determine the number of units that should be manufactured each month on regular and overtime to minimize total production and storage costs

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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ABC Cabinets received a contract to produce bookshelf speakers (BS) and floor speakers (FS) over the next 2
months. The contract says ABC must deliver 2100 BS and 1500 FS at the end of month 1 and deliver 1200 BS and
2600 FS at end of month 2. The time to make a BS is 0.7hr and a FS is 1hr. Raw material costs $10 for each BS
and $12 for each FS and there is an unlimited amount available. Labor costs are $22/hr using regular production
time and $33/hr using overtime. ABS has up to 2400hrs of regular production time each month and up to 1000
additional hours of overtime each month. Any cabinets left at the end of month 1 can be stored for $5/cabinet.
(a) Formulate an LP to determine the number of units that should be manufactured each month on regular and
overtime to minimize total production and storage costs

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