A professor is trying to choose between two publishing companies that are competing for the marketing rights to his new book on decision making. Publisher A has offered the professor $8,000$ plus $3$ per book sold. Publisher B has offered the professor $4,000$ plus $6$ per book sold. The professor has estimated that three levels of demand are possible for his book: $1,000,8,000$ and $10,000$ with probabilities $0\mathrm{.}21,0\mathrm{.}62$ and $0\mathrm{.}17,$ respectively. Fill in the payoff table given below where the states of nature and alternative courses of action are given.

Courses of action

Demand

Publisher A

Publisher B

Which publisher would you recommend to the professor?

What is the expected monetary value of choosing this publisher