Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Requirement s Cost to Cost to Component Plastic Time Space Manufacture Purchase Front 12 40 8 16 24 Seat/Frame 16 24 8 12 18 Rear wheel (each) .20 8 .4 2 6 Available 100000 320000 60000 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost.

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Author:WINSTON, Wayne L.
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3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information.


Requirement
s Cost to Cost to
Component Plastic Time Space Manufacture Purchase
Front 12 40 8 16 24
Seat/Frame 16 24 8 12 18
Rear wheel (each) .20 8 .4 2 6
Available 100000 320000 60000


The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost.

3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a
handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The
company has orders for 48,000 of these trikes. Current schedules yield the following
information.
Cost to
Cost to
Requirement
Component
Plastic
Time
Space
Manufacture
Purchase
Front
12
40
8
16
24
Seat/Frame
16
24
8.
12
18
Rear wheel
.20
8.
.4
2
6
(each)
Available
100000
320000
60000
The company obviously does not have the resources available to manufacture
everything needed for the completion of 24000 tricycles so has gathered purchase
information for each component. Develop a linear programming model to tell the
company how many of each component should be manufactured and how many
should be purchased in order to provide 24000 fully completed tricycles at the
minimum cost.
Transcribed Image Text:3) Amelia Ltd. makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 48,000 of these trikes. Current schedules yield the following information. Cost to Cost to Requirement Component Plastic Time Space Manufacture Purchase Front 12 40 8 16 24 Seat/Frame 16 24 8. 12 18 Rear wheel .20 8. .4 2 6 (each) Available 100000 320000 60000 The company obviously does not have the resources available to manufacture everything needed for the completion of 24000 tricycles so has gathered purchase information for each component. Develop a linear programming model to tell the company how many of each component should be manufactured and how many should be purchased in order to provide 24000 fully completed tricycles at the minimum cost.
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