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A Toy Store Is Considering Expanding Its Capacity to Meet

question 19

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A toy store is considering expanding its capacity to meet a growing demand for its products.The options faced by management are to build a new store,expand the existing store,or do nothing.A marketing research firm has projected a 50% probability of a high demand for the toy market,a 30% probability of a low demand,and a 20% probability of an unchanged demand.The following estimates of annual returns (in $000's)are as follows:
 Demand  Alternative  High  Low  Unchanged  Build new store $60$25$40 Expand existing store $45$15$25 Do nothing $10$4$6\begin{array} { l c l l } & & \text { Demand } & \\ \text { Alternative } & \text { High } & \text { Low } & \text { Unchanged } \\\hline \text { Build new store } & \$ 60 & \$ 25 & \$ 40 \\\text { Expand existing store }& \$ 45 & \$ 15 & \$ 25 \\\text { Do nothing } & \$ 10 & \$ 4 & \$ 6\end{array}
a.Develop a decision tree for this problem.
b.Analyze the decision tree and determine which alternative should be chosen.


Definitions:

Stimulus Events

External or internal occurrences that elicit responses from an organism or cognitive system.

Repetitive Stimulus

A stimulus presented repeatedly to a subject, often used in experiments to measure response habituation or sensitization.

Reward

A benefit or positive outcome provided to encourage a certain behavior or achievement.

Operant Conditioning Techniques

Behavioral training methods based on the principle of reinforcing desired behaviors and discouraging undesired ones.

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