Carlos is being recruited by a professional baseball team because he has developed a secret new pitch that is virtually unhittable by even the best hitters. However, the effectiveness of the pitch declines with each game pitched, so his expected value to the club for one season will be P = $1,040,000 - $40,000 (games pitched). Carlos has no alternative jobs or activities that will be of any value to him and he finds free time neither beneficial nor costly. Carlos has hired you as an agent to get him the best deal possible. How much money do you recommend that he require for a one-year contract?
a. $520,000
b. $10,139,999
c. $3,380,000
d. $1,040,000
e. $13,519,999
Answer: e. $13,519,999