A company's cost in dollars to produce 'n' shoes is given by  C(n)=5500+50n+0.75n^2 A. Assume that revenue is proportional to the number of shoes produced. What is the total profit formula? B. At what production level is the average cost per shoe lowest?

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.