B = Number of Betsy Ross Dolls Produced = G = Number of George Washington Dolls Produced = Profit= abc &

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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Labor balancing. The Patriotic Doll Company manufactures two kinds of dolls: the Betsy
Ross and the George Washington. The assembly process for each of these dolls requires
two people. The assembly times are as follows:
Betsy Ross doll
George Washington doll
Maximum hours available per day
Assembler 1
6 min
3
min
8
The company policy is to balance workloads on all assembly jobs. In fact, management
wants to schedule work so that no assembler will have more than 30 minutes more work
per day than other assemblers. This means that in a regular 8-hour shift, all assemblers
will be assigned at least 72 hours of work. If the firm makes a $2 profit for each George
Washington doll and a $1 profit for each Betsy Ross doll, how many units of each doll
should be produced per day? How much time will each assembler be assigned per day?
B = Number of Betsy Ross Dolls Produced =
Profit=
G = Number of George Washington Dolls Produced =
Assembler 2
2 min
4 min
8
abc
abc
Transcribed Image Text:Labor balancing. The Patriotic Doll Company manufactures two kinds of dolls: the Betsy Ross and the George Washington. The assembly process for each of these dolls requires two people. The assembly times are as follows: Betsy Ross doll George Washington doll Maximum hours available per day Assembler 1 6 min 3 min 8 The company policy is to balance workloads on all assembly jobs. In fact, management wants to schedule work so that no assembler will have more than 30 minutes more work per day than other assemblers. This means that in a regular 8-hour shift, all assemblers will be assigned at least 72 hours of work. If the firm makes a $2 profit for each George Washington doll and a $1 profit for each Betsy Ross doll, how many units of each doll should be produced per day? How much time will each assembler be assigned per day? B = Number of Betsy Ross Dolls Produced = Profit= G = Number of George Washington Dolls Produced = Assembler 2 2 min 4 min 8 abc abc
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