Tattle Tots makes a fiberglass tricycle for kids 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 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so it has gathered purchase information for each component. The following table shows relevant information:
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Tattle Tots makes a fiberglass tricycle for kids 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 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so it has gathered purchase information for each component.
The following table shows relevant information:
|
Requirements |
Manufacture |
Cost to Purchase |
||
Component |
Plastic |
Time |
Space |
||
Front |
3 |
10 |
2 |
8 |
12 |
Seat/Frame |
4 |
6 |
2 |
6 |
9 |
Rear-wheel (each) |
.5 |
2 |
.1 |
1 |
3 |
Available |
50,000 |
160,000 |
30,000 |
|
|
Develop a linear programming model to advise the operations manager of Tattle Tots how many of each component should be manufactured and how many should be purchased in order to provide 12,000 fully completed tricycles at the minimum cost. What is your best recommendation?
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