Suppose a distribution center is considering three options for expansion. The first one is to expand into a new plant, the second to add on third-shift to the daily schedule, and third, a small expansion to the existing facility. There are three possibilities for demand. These are high, medium, and low having probabilities of 40%,33%, and 27% respectively. Suppose that the profits for the expansion plans are as follows: The new plant expected outcomes are $110,000,$50,000,$15,000, the third shift consideration would result in outcomes of $40,000,$20,000,$5,000 and the small expansion choice would in the following dollar amounts $15,000,$13,000,$1,500. The amount that the company must invest in each alternative is: new plant =$48,000, third shift =$15,100, small expansion =$8,700 a. The profit/loss (EMV) for the new plant is $ b. The profit/loss (EMV) for adding a third shift is $ c. The profit/loss (EMV) for the small expansion is $ d. Which of the expansion plans should the manager choose? e. What if an outside consultant was hired by the organization and the probabilities were re-evaluated as a result of better information. The results of the research/feedback are now: 30%,37%,33% (high, medium , low). What choice should the manager make and what is the EMV