This question refers to an example in the book Production$/$Operations Management by William J$.$ Stevenson. The example involves a capacity$-$planning problem in which a company must choose to build a small, medium, or large production facility. The payoff obtained will depend on whether future demand is low, moderate, or high, and the payoffs are as given in the following table:

$14\mathrm{.}67$ points

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$\backslash$table$[[,$Possible Future$],[,$Low,Moderate,High$],[$Alternatives$,$$$12**,$$$15,$$$16$