The question is Mr.Bryant wants to add a new rectangular screened porch onto his house.The cost of the screen porch is the function of its size.
The length of the porch must be twice its width the materials cost approximately 55 dollars per square foot and labor is about $4500. Mr.Bryant can spend no more than 9,890 dollars on his screened porch.
What is the maximum length of the porch that Mr.Bryant can afford What i got from this problem is that the length of the rectangular is 2W and the width is W. and that 55ps + 4500 = 9890. i know to find the maximum i have to use an calculator but i can't even find the equation to put in first. How would i solve this?
width = W
length = 2W
Area = length x width
Perimeter = 2length + 2width
Cost = 55xPerimeter + 4500
Cost <= 9890
Put them all together and what is the maximum W? Then what is the maximum area?
So you start by doing Area: length x width = 2W * W = $2W^2$. And you keep going.