You are looking to build a storage area in your back yard. This storage area is to be built out of a special type of storage wall and roof material. Luckily, you have access to as much roof material as you need. Unfortunately, you only have 26.7 meters of storage wall length. The storage wall height cannot be modified and you have to use all of your wall material.
You are interested in maximizing your storage space in square meters of floor space and your storage area must be rectangular
What is your maximization equation and what is your constraint? Write them in terms of x and y where x and y are your wall lengths.
Maximize z = _____
Subject to the constraint:
26.7 ______
Now solve your constraint for y:
y= ___________
Plug your y constraint into your maximization function so that it is purely in terms of x. Maximize z= _______
Using this new maximization function, what is the maximum area (in square meters) that your shed can be? Round to three decimal places.
Maximum storage area (in square meters) = _____
