Solving College Calculus 1 Problems?
I'm having a lot of issues in trying to solve applied Calculus problems (for college calc 1 classes). My biggest issue is trying to figure out some sort of methodology for figuring out what I'm supposed to do.
Here's the example of a problem i'm stuck with right now:
A closed rectangular container with a square base is to have a volume of 2000 centimeters cubed. It costs twice as much per square centimeter for the top and bottom as it does for the sides. Find the dimensions of the container of least cost.
|0000000| Y (Of course this is 3 dimensional rectangle, but I did my best)
So from what I understand you need LEAST cost. But I have no idea how to set up an equation for cost. I Understand:
2Y = X
V = X(squared)Y
and I have a 2000 centimeter cubed volume
From here i'm literally stuck, what equation do I "make" to substitute for a variable into the Volume equation? And am I taking the derivative of Volume in order to solve for a particular variable? Any help on this matter would be greatly appreciated. Thanks.