The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 12 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 12 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 4 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Set up the LP then solve with software. Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?
The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 12 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 12 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 4 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Set up the LP then solve with software. Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.4: Aggregate Planning Models
Problem 17P
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Transcribed Image Text:The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain
amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day.
Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 12 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing,
and 12 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 4 board feet of wood. If the company wants to minimize the
amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up
with completed chairs.)
Set up the LP then solve with software.
Number of Montegues =
Number of Capulets =
Number of Veronas =
How many board feet of cherry wood would be used each day?
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