Question

Asked Oct 21, 2019

An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three sides enclosed by cubicle wall and the fourth side open. What is the area of the largest possible cubicle that can be built if the office has 75

feet of cubicle wall?

feet of cubicle wall?

Step 1

The problem can be pictorially depicted as below. The perimeter available is 2x+y.

According to given data,

Step 2

We have to maximize the area. So write an expression for area using the figure in step 1;

Step 3

To maximize the area, take a derivative of area function with re...

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