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In the Following Profit Table, Di Represents Decision Variables and Si

question 41

Short Answer

In the following profit table, di represents decision variables and Si represents states of nature.
S1S2S3S4d115.0015.0015.0015.00d210.005.0025.0025.00d335.00040.0060.00d460.0020.0050.0090.00\begin{array} { c | c c c c } & \mathbf { S } _ { 1 } & \mathbf { S } _ { \mathbf { 2 } } & \mathbf { S } _ { \mathbf { 3 } } & \mathbf { S } _ { \mathbf { 4 } } \\\hline d _ { 1 } & 15.00 & 15.00 & 15.00 & 15.00 \\d _ { 2 } & - 10.00 & - 5.00 & 25.00 & 25.00 \\d _ { 3 } & - 35.00 & 0 & 40.00 & 60.00 \\d _ { 4 } & - 60.00 & - 20.00 & 50.00 & 90.00\end{array}
a. If management assigns probabilities as follows: S1 = 0.15; S2 = 0.25; S3 = 0.40; and S4 = 0.20, determine the expected value for d2.
b. Determine the expected value for d3.
c. Assuming the largest expected value for a decision variable is 24.00, determine the value of perfect information.


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