Chapter 2.2, Problem 33AYU

(a)

To determine

To sketch: a graph of the function $C=C\left(x\right)$ using graphing utility.

Explanation of Solution

Given information:

A Boeing 747 crosses the A.O (3000 miles) with an airspeed of 500 miles per hour. The cost $C$ per passengers is given by

  $C\left(x\right)=100+\frac{x}{10}+\frac{36000}{x}$

Where $x$ is the ground speed.

Calculation:

The graph of the function $C\left(x\right)=100+\frac{x}{10}+\frac{36000}{x}$ is as follows

  

(b)

To determine

To create: a TABLE with $\text{TblStart}=\text{0}$ and $\Delta \text{Tbl}=50$ .

Explanation of Solution

Given information:

A Boeing 747 crosses the A.O (3000 miles) with an airspeed of 500 miles per hour. The cost $C$ per passengers is given by

  $C\left(x\right)=100+\frac{x}{10}+\frac{36000}{x}$

Where $x$ is the ground speed.

Calculation:

The table for the above function is below

  

(c)

To determine

To find: the ground speed minimizes the cost per passenger.

Answer to Problem 33AYU

The ground speed must be 600 miles per hour and the minimum cost per passenger is 220 dollars.

Explanation of Solution

Given information:

A Boeing 747 crosses the A.O (3000 miles) with an airspeed of 500 miles per hour. The cost $C$ per passengers is given by

  $C\left(x\right)=100+\frac{x}{10}+\frac{36000}{x}$

Where $x$ is the ground speed.

Calculation:

By using the graphic utility we found that to minimizes the cost per passenger, the ground speed must be 600 miles per hour and the minimum cost per passenger is 220 dollars.