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A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 205.8 ft...

A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 205.8 ft cubed .205.8 ft3. Material costs per square foot are estimated as shown below.

​Walls: $5.00

​Floor: ​$3.00

​Ceiling: $3.00

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.

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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