Best Mathematical Optimization Tools Solutions

The total ranking of a product, represented by the bar length, is based on a weighted aggregate score. The score is calculated as follows: The product with the highest count in each area gets the highest available score. (18 points for Reviews, Words/Review, Views and Comparisons.) Every other product gets assigned points based on its total in proportion to the #1 product in that area. For example, if a product has 80% of the number of reviews compared to the product with the most reviews then the product's points for reviews would be 18 (weighting factor) * 80% = 14.4. For Average Rating, the maximum score is 28 points awarded linearly between 6-10 (e.g. 6 or below=0 points; 7.5=10.5 points; 9.0=21 points; 10=28 points). If a product has fewer than ten reviews, the point contribution for Average Rating and Words/Review is reduced: 1/3 reduction in points for products with 5-9 reviews, two-thirds reduction for products with fewer than five reviews. Reviews that are more than 24 months old, as well as those written by resellers, are completely excluded from the ranking algorithm.