Fill This Form To Receive Instant Help

Help in Homework
trustpilot ratings
google ratings


Homework answers / question archive / Select either the minimum or maximum function

Select either the minimum or maximum function

Math

Select either the minimum or maximum function. Identify a task - personal or professional - that could be modeled mathematically through your chosen function. Explain how the chosen function be used in making good decisions.

Examples of tasks might be:

Make the largest garden possible using a given amount of fencing.

Configure an airplane to create the least amount of drag for an airplane in flight.

pur-new-sol

Purchase A New Answer

Custom new solution created by our subject matter experts

GET A QUOTE

Answer Preview

Let the problem be stated as follows:

Suppose you buy 100 feet of wire fencing. What’s the largest rectangular area garden you can enclose with it?

Solution:

Let x be the width of the garden.

Let y be the height of the garden.

Then the perimeter of the rectangle must be equal to 100ft.

2x + 2y = 100

x + y = 50

y = 50 - x --------------------- > 1

Let the area be A and is given by

A = xy

using eqn(1)

A = x(50 - x)

A(x) = 50x - x2

is the model of our problem.

Now diff wrt x

For maxima/minima,

Let us check if the above x value leads to a maximum/minimum.

For that, let us find the second derivative,

diff wrt x

plugin the x value

PFA