Chapter 1.3, Problem 95E

a.

To determine

To Graph:

Model over appropriate domain.

Explanation of Solution

Give information:

Given:

  $\begin{array}{l}N=-24.83t^3+906t^2+44114,\\ 10\le t\le 13\end{array}$

Graph:

Graph for the function is,

  

Interpretation:

The function for the number $N$ of cooperative home sold from $2010$ to $2013$ is given by,

  $\begin{array}{l}N=-24.83t^3+906t^2+44114,\\ 10\le t\le 13\end{array}$

Where,

  $t$ represents he year with $t=10$ is for $2010$ .

b.

To determine

To identify:

Year from which number of cooperative homes and condos was increasing.

Answer to Problem 95E

Year from which number of cooperative homes and condos was increasing is $2011$ to $2013$ .

Explanation of Solution

Give information:

Given:

  $\begin{array}{l}{C}_1\left(t\right)=1+0.50〚t-1〛\\ C_2\left(t\right)=10.50〚-\left(t-1\right)〛\end{array}$ .

Calculation:

From the graph get from part (a) it is clear that the number of condominiums and cooperative homes sold was,

Decreasing from $2010$ to early $2011$ and increasing early from $2011$ to $2013$

c.

To determine

To calculate:

Approximate minimum number of cooperative homes and condos sold from $2010$ to $2013$

Answer to Problem 95E

Approximate minimum number of cooperative homes and condos sold from $2010$ to $2013$ is $480.806$ thousands

Explanation of Solution

Give information:

Given:

  $\begin{array}{l}{C}_1\left(t\right)=1+0.50〚t-1〛\\ C_2\left(t\right)=10.50〚-\left(t-1\right)〛\end{array}$ .

Calculation:

In order to find the minimum number of condominiums and cooperative homes sold through $2010$ to $2013$ .

Graph for given condition is as follows:

  

Using desmos graphing utility result obtained is, $480.806$ thousands or $480.806$ in early $2011$ .