The management of Choices Inc. can pay bonuses for customer service staff based on feedback scores or based on reversed cancellations. Good feedback and reversed cancellations both generate $12,000 in additional profit for the company. A hard-working employee has a 75% chance of getting a positive score, but only a 50% chance of reversing a cancellation. If the employee fails to put in full effort, then the likelihood of a positive score or a reversed cancellation is, in both cases, 25%. Assume an employee's utility function for income w is u(w) = sqrt(w), and the effort cost from working hard (in utility units) is 10, How much more profitable is Choices Inc. with bonuses based on feedback, instead of reversed cancellations? (Le. what is the difference in profit if the manager always offers the smallest bonus that will induce the employee to work hard?) $3,000 $4,500 $9,000 $12,000