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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 3.1, Problem 73E

To determine

**To find: **The model for the cost of fencing of the garden and the dimensions of garden that minimize the cost of fencing.

Expert Solution

The model for the cost of fencing of the garden is equal to

**Given information:**

A property owner wants to fence a garden plot adjacent to a road, as shown in figure. The fencing next to the road must be sturdier and cost

**Calculation:**

As given the area of the garden is

So, the breadth of the rectangular garden is equal to

The cost of the fence along the roadside is

Evaluate the function for the total cost for fencing of garden.

So, the function of the total cost of fencing the garden is given by

To graph a function

First press “ON” button on graphical calculator, press

The display will show the equation,

Now, press the

Figure (1)

As observed from the graph, the cost function has minimum value equal to

So, the length of the region is equal to

Therefore, the model for the cost of fencing of the garden is equal to