Product Evaluation Plan Algorithm

[ridgeline]

I am working on developing a product evaluation plan that rates a product based on five independent parameters with differing possible range of weights. The goal is to balance all the scores and weights so that the maximum total score is achieved when all the (weights x scores) are summed together (Total summed weights obviously cannot exceed 100%).

For example, consider the following scenario:
-----------------------------------------------
Parameter Weight Score
1 25%-35% 7/10
2 20%-30% 9/10
3 5%-10% 3/10
4 15%-25% 10/10
5 10%-30% 6/10

Find maximum score considering all parameters
-----------------------------------------------

Basically, I am struggling with determining how to develop the basic algorithm and need some assistance with someone that is much smarter and much better at math than I am.

Any help provided would be greatly appreciated!

 

[MintJulep]

The goal is to balance all the scores and weights so that the maximum total score is achieved when all the (weights x scores) are summed together

That just makes no sense.

"Weight" is an indication of how important each parameter is to your evaluation. Weighting factors for each parameter as set once and only once for an entire evaluation process and do not change with each item being evaluated.

"Score" is an objective measure of how well each item being evaluated achieves each parameter. Scores are determined for each item for each parameter.