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youngstudent16
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Homework Statement
A box-shaped house has a square floor. Three times as much heat per square foot is lost through the roof as through the walls, but no heat is lost through the floor. If the house encloses 1500 cubic feet, then find the area of the floor that minimizes heat loss.
Homework Equations
First and second derivative test for the absolute extrema
The Attempt at a Solution
I'm very weak with optimization problems, the hardest part is setting up the equation for myself. I figure I want to maximize the size of the floor in order to minimize heat loss. I know my constraint is the volume of the cube. After that I'm kind of stuck.
So Constraint: 1500=lwh
maximize: floor(lw)
Thanks for any help