Consider the Following Decision Table with Rewards in $ Millions

question 38

Multiple Choice

Consider the following decision table with rewards in $ millions. $\begin{array}{r}\text { State of Nature }\\(\begin{array}{|c|c|c|c|}\hline\text { Decision Alternatives } & S_{1} & S_{2} & S_{3} \\\hline d_{1} & -1 & 2 & 8 \\\hline d_{2} & -3 & y & 5 \\\hline d_{3} & -0.5 & 0.75 & 1 \\\hline d_{4} & 0 & 0 & 0 \\\hline d_{5} & -1 & -1 & -1\\\hline\end{array}\end{array}$
If you are using Hurwicz criterion with $\alpha$ = 0.3 and decide d₂, then y is ______.

• A)undetermined; there is not enough information to find the answer
• B)unfeasible; there is no value of y that would make you choose d₂
• C)larger than 3.71
• D)larger than 8
• E)larger than 12.67