Homework Help: Linear Programming Problem Based on Weight System

1. Sep 12, 2012

theperson

1. The problem statement, all variables and given/known data

I've made my own problem here to solve. I'm wondering if it is even possible with linear programming.

Basically, I need to designate these parts to certain machines based on 3 different priorities and each of these priorities are weighted arbitrarily. (For example, Priority 1 is 60%, Priority 2 is 30%, Priority 3 is 10%). There are different size machines too, but I already know what parts will fit in what size machine. (Lets say there are 2 sizes of machines, Size 1 and Size 2). BUT there are multiple machines for each size. So, for example, there are 2 Size 1 machines and 3 Size 2 machines.

The main problem I am trying to solve here with a math model is what parts should go to what machines based on the weighted priorities. For example, all white parts should be on one of the Size 1 machines and black parts should be on the other Size 2 machines (if color was Priority 1)

2. Relevant equations

variables
max/min statement
contraints

3. The attempt at a solution

I haven't worked with linear programming in awhile, but I remember bits and parts. I can't seem to get away from remembering the profit type problems. Is my problem capable of being solved from linear programming?

Thanks!