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 $$[$ Select $]["$$$8,450","$$$2,700","$$$-3,000","$$$6,950","$$$-2,500"]$

b$.$ The profit$/$loss $($EMV$)$ for adding a third shift is $$[$ Select $]["$$$6,150","$$$7,566","$$$-2,500","$$$9,650","$$$4,000"]$

c$.$ The profit$/$loss $($EMV$)$ for the small expansion is $$[$ Select $]["$$$1,185","$$$130","$$$10,500","$$$2,300","-$$$870"]$

d$.$ Which of the expansion plans should the manager choose? $[$ Select $]["$Adding Third Shift", "Small Expansion", "New Plant", "either New Plant or Small Expansion based on the profit calculation"$]$

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? $[$ Select $]["$Medium based on an EMV of $$2,650",$ "Large Expansion based on an EMV of $$3,740",$ "Small expansion based on the least amount of cost at $$1,370",$ "Medium Expansion; $$40,000$ based on high demand", "Large Expansion based on a high demand of $$110,000"]$