February 22, 2017

Homework Help: Math Linear Programming

Posted by jeremy on Tuesday, February 26, 2008 at 4:23am.

I need to find out the constraints and the variables so that I can input and solve in excel or management scientist. I don't know how to configure this information, can someone help me?

Tots Toys 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 12,000 of these trikes.

As indicated in the table below, the company obviously does not have the resources available to manufacture everything needed for the completion of 12000 tricycles, so it has arranged to purchase additional components, as necessary. 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 12000 fully completed tricycles at the minimum cost.

Component Plastic Time Space Man$ Pur.$
Front/ 3 / 10/ 2 / 8/ 12
Frame/ 4 / 6/ 2 / 6/ 9
Wheel/ .5 / 2/ .1 / 1/ 3
AVAILABLE /50,000 /160,000 /30,000/

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