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The Only Car Dealership in a Community Stocks Cars from Two

question 10

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The only car dealership in a community stocks cars from two manufacturers, Fret and Cessy. The following transition matrix shows the probabilities of a customer purchasing each brand of car in the next year given that he or she purchased that car in the current year.  From / To  Fret  Cessy  Fret .7.3 Cessy .4.6\begin{array} { l c c c } \text { From } / & \text { To } & \text { Fret } & \text { Cessy } \\\hline \text { Fret } & & .7 & .3 \\\text { Cessy } & & .4 & .6 \\\hline\end{array} Determine the steady state probabilities for Fret and Cessy.


Definitions:

Marginal Product

The additional output that is produced by adding one more unit of a specific input, while holding all other inputs constant.

Diminishing Returns

The decrease in the marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, while other factors are kept constant.

Average Cost

The total cost of production divided by the number of goods produced.

Marginal Cost

Marginal cost is the change in total cost that arises when the quantity produced is incremented by one unit; it is the cost of producing one more unit of a good.

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