Chapter 4.6, Problem 41E

(a).

To determine

To calculate: The value of C and k in model $S=C{e}^{\frac{k}{t}}$. Where model represents the sales S (in thousands of units) of a new product after, it is in the market for t number of years. If in the first year, the units of new product sold in the market were $5000$ units. The saturation point of the product for the market is $30000$ units, which means the limit of S as $t\to \infty$ is $30000$.

(b)

To determine

The number of units that will sold after $5$ years by using the model $S=C{e}^{\frac{k}{t}}$. Where model represents the sales S (in thousands of units) of a new product after, it is in the market for t number of years. If in the first year, the units of new product sold in the market was $5000$ unit. The saturation point of the product for the market is $30000$ units, which means the limit of S as $t\to \infty$ is $30000$.

(c)

To determine

To graph: The model $S=C{e}^{\frac{k}{t}}$ using the graphing calculator. Where model represents the sales S (in thousands of units) of a new product after, it is in the market for t number of years. If in the first year, the units of new product sold in the market was $5000$ unit.