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Optimization
1. A new branch bank is to have a floor area of 3500 ft[tex]^{2}[/tex]. It is to be a rectangle w/ 3 solid brick walls and a decorative glass front. The glass costs 1.8 times as much as the brick wall per linear foot. What dimensions of the building will minimize cost of materials for the walls and front?
I'm learning this stuff on my own and I need a little guidance on this problem. I know I have to write everything in terms of a single variable before I can derive. I'm having trouble understanding how to set up the problem. Am I looking to minimize surface area and does the volume come into play here? Thanks.
So I have y=3500/x. Do I have to use that in surface area or volume?
1. A new branch bank is to have a floor area of 3500 ft[tex]^{2}[/tex]. It is to be a rectangle w/ 3 solid brick walls and a decorative glass front. The glass costs 1.8 times as much as the brick wall per linear foot. What dimensions of the building will minimize cost of materials for the walls and front?
I'm learning this stuff on my own and I need a little guidance on this problem. I know I have to write everything in terms of a single variable before I can derive. I'm having trouble understanding how to set up the problem. Am I looking to minimize surface area and does the volume come into play here? Thanks.
So I have y=3500/x. Do I have to use that in surface area or volume?
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