Question: A certain magical substance that is used to make solid magical spheres costs$400 per cubic foot. The power of a magical sphere depends on its

A certain magical substance that is used to make solid magical spheres costs$400 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for$70 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?

r = ? ft

Note 1: the formulas for the volume and surface area of a sphere of radius

r areV=4/3(r³) andA=4r²respectively.

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