05:12

Calculus; Graphical, Numerical, Algebraic

Designing a Tank Your iron works has contracted to design and build a 500 -ft $^{3}$ , square-based, open-top, rectangular steel holding tank for a paper company. The tank is to be made by

welding thin stainless steel plates together along their edges.

As the production engineer, your job is to find dimensions for

the base and height that will make the tank weigh as little as

possible.

(a) What dimensions do you tell the shop to use?

(b) Writing to Learn Briefly describe how you took weight

into account.