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A certain magical substance that is used to make solid magical spheres costs per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for 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?

Thank you very much for your help. =)

  • Calculus -

    Does the price depend on the magical power? What is the relations between:
    magic power and price
    cost / cubic foot
    selling price / sq. ft

    If the magic power doesn't count, then make the spheres as physically possible.

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