The demand function for monopolist's product is p = 700 – 2q and the average cost per unit for producing q units is 1000 c = q + 100 + where p and č are in dollars per unit. Find the maximum profit that the monopolist's can achieve.

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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.