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A Company Is Expanding Its Production Capacity A Which Decision Variable Would Be Selected Using Maximax?
B

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A company is expanding its production capacity. The decision will depend upon whether the increase in demand is low, medium, or high. The company's choices for expansion are small, medium, large, or very large. The following table provides an estimate of profits over the next two years.  Demand Values  Decision  Low (S1) Medium (S2) High (S3) Small Expansion (d1)$5,000$10,000$10,000 Medium Expansion (d2)$2,000$12,000$14,000 Large Expansion (d3)0$6,000$13,000 Very Large Expansion (d4)$5,000$8,000$20,000\begin{array}{l|ccc}&&\text { Demand Values }\\\text { Decision } & \text { Low }\left(\mathrm{S}_{1}\right) & \text { Medium }\left(\mathrm{S}_{2}\right) & \text { High }\left(\mathrm{S}_{3}\right) \\\hline\text { Small Expansion }\left(\mathrm{d}_{1}\right) & \$ 5,000 & \$ 10,000 & \$ 10,000 \\\text { Medium Expansion }\left(\mathrm{d}_{2}\right) & \$ 2,000 & \$ 12,000 & \$ 14,000 \\\text { Large Expansion }\left(\mathrm{d}_{3}\right) & 0 & \$ 6,000 & \$ 13,000 \\\text { Very Large Expansion }\left(\mathrm{d}_{4}\right) & \$ 5,000 & \$ 8,000 & \$ 20,000\end{array}
a. Which decision variable would be selected using maximax?
b. Which decision variable would be selected using maximin?
c. Which decision variable would be selected using minimax-regret criteria?
d. Suppose the decision maker assigns the probability of low demand as 0.2, medium demand as 0.5, and high demand as 0.3. Which decision variable would be selected using the expected value criterion?

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Definitions:

Independent Samples

Two or more groups of data that are collected from separate populations and are not related or paired in any way.

Contact Lenses

Thin lenses worn directly on the eye to correct vision or for cosmetic purposes.

Significant Difference

A statistically significant difference indicates that the observed difference between two datasets is not likely due to random chance at a specified significance level.

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.

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