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A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 2048 ft3....

A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 2048 ft3.
Material costs per square foot are estimated as shown below.

​Walls:

​$1.00

 A rectangular solid has a base with two sides of length x and y and a height of length z. The base and the face opposite it are shaded.

xx

yy

zz

​Floor:

​$4.00

​Ceiling:

​$4.00

What dimensions of the terrarium will minimize the total​ cost? What is the minimum​ cost?

x=------ft

y=-----ft

z=------ft

The minimum cost of the terrarium is

​$--------------.

Math   Calculus   
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