You wish to hire Trump J to manage your Alberta operations for your company. The profits from the operations depend partially on how hard Trump J works.

Probabilities

Profit = $5,000 Profit = $90,000

Lazy 90% 10%

Hardworker 20% 80%

If Trump J is lazy, he will surf the Internet all day and he views this as a zero cost opportunity.

However, Trump views working hard as a "personal cost" valued at $1000. What fixed percentage of profits should you offer Trump J for him to work hard? Assume Trump J only cares about his expected payment less any "personal cost".