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# Capacity Planning Given Demand Chances

The owners of Sweet-Tooth Bakery have determined that they need to expand their facility in order to meet their increased demand for baked goods. The decision is whether to expand now with a large facility or expand small with the possibility of having to expand again in five years. The owners have estimated the following chances for demand:

- The likelihood of demand being high is 0.70;

- The likelihood of demand being low is 0.30.

Profits for each alternative have been estimated as follows:

- Large expansion has an estimated profitability of either \$80,000 or \$50,000, depending on whether demand turns out to be high or low;

- Small expansion has a profitability of \$40,000, assuming demand is low;

- Small expansion with an occurrence of high demand would require considering whether to expand further. If the bakery expands at this point, the profitability is to be \$50,000.

Draw a decision tree showing the decisions, chance events, and their probabilities, as well as the profitability of outcomes and solve the decision tree

- EVsmall expansion = \$?
- EVlarge expansion = \$?

Decide what the bakery should do.

#### Solution Preview

Hello,

Please see my response attached. I have used a publicly available ...

#### Solution Summary

The solution uses an attached Excel spreadsheet to draw a decision tree in order to reach a decision for whether a bakery should make a small or large expansion presently.

\$2.19