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I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:
In Mathematica, you can check this result via
D[4/2*Pi*r^3, r]
For this case we have the following quadratic functions:
Revenue:
Cost:
Then, we observe that the profit is given by the following mathematical relationship:
Substituting values we have:
Making the corresponding calculations we have:
Answer:
An expression that represents the profit is: