The latest demand equation for your "Banjos Rock" T-shirts is given by q = -50x + 4800 where q is the number of shirts you can sell in one week if you charge x dollars per shirt. When you charge x dollars per shirt, your weekly cost function (in dollars) is given by C(x) = -1200x + 151200 (a) Find the weekly profit as a function of the price per shirt x. P(x) = (b) Determine the unit price you should charge to break even. Enter the smaller value first. You break even, when you charge dollars per shirt. or When you set the price per shirt to one of these values, your profit is dollars.

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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.