A company is trying to predict the long-run market share of a new men's deodorant. Based on initial marketing studies, they believe that 35% of new purchasers in this market will ultimately try this brand. They believe that customers will purchase their brand about 60% of the time in the future. Preliminary data also suggest that the brand will attract heavier-than-average buyers, such as those who exercise frequently and participate in sports, and that they will purchase about 20% more than the average buyer.
Develop a general model for predicting long-run market share?