Chapter 4.6, Problem 42E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

**Sales** The cumulative sales *S* (in thousands of units) of a new product after it has been on the market for *t* years are modeled by

During the first year, 8000 units were sold.

(a) Solve for *k* in the model.

(b) What is the saturation point for this product? (The saturation point is the limit of *S* as

(c) How many units will be sold after 5 years?

(d) Use a graphing utility to graph the sales function.

**(a)**

To determine

**To calculate:** The value of *k* in model *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

Explanation

**Given Information:**

The provided sales model is

**Calculation:**

Consider the sales equation

The sale for the first year is

Substituting the values of S and t in the provided model,

On further solve,

**(b)**

To determine

**To calculate:** The saturation point for the new product in model *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

To determine

The number of units that will sold after *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

To determine

**To graph:** The model *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

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