A sporting goods store finds that if it sells x exercise machines per day, its costs will be C(x) = 500x + 3800 and its revenue will be R(x) = −2x2 + 900x (both in dollars). (a) Find the store's break-even points. (Enter your answers as a comma-separated list.) machines per day (b) Find the number of sales that will maximize profit. machines per day(c) Find the maximum profit.$

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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.