John Boone had lice. Tiny insects crawled through his hair. He was constantly scratching his scalp. Boone knew that there was an easy solution: He just had to buy a special shampoo at a pharmacy and wash the lice out. But Boone didn't have time for that. He had to price his bicycle. Boone, after graduating from Harvard, had invented a bicycle that was cheap to produce and worked just as well as much more expensive racing bikes. The secret was the frame: Boone had figured out how to make a strong bicycle frame out of a cardboard composite. Now, how much to charge for the bicycle? Boone's factory could produce the bicycle at a marginal cost of $1,000. Boone hired a consultant to run some focus groups. The consultant found that customers came in two groups: A and B. Each group had a different willingness to pay for the bicycle, and there were different numbers of consumers in each group, as listed in the table below: HINT: You cannot use the markup rule *directly* to solve this problem, because the demand curve is not smooth. Instead, calculate Boone's profits for different prices, and then choose the price that gives him the greatest profit. You do not need to graph a demand curve to solve this problem, but it can