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. Requirements Component Plastic Time Space Cost to Manufacture Cost to Purchase Front seat /Frame Rear wheel (each) 12 16 .20 40 24 8 8 8 .4 16 12 2 24 18 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
following information.
|
|
Requirements |
|
|
|
|
|
Component |
Plastic |
Time |
Space |
Manufacture |
Cost to
Purchase |
|
Front seat /Frame Rear wheel (each) |
12 16 .20 |
40 24 8 |
8 8 .4 |
16 12 2 |
24 18 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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