The following is a price demand function for a company that produces and sells themed T-shirts: p(x)=60-0.05x where p is the price in dollars at which exactly x T-shirts are sold. a. How many T-shirts should the company sell to maximize Revenue?   b. What is the price per T-shirt that would lead to the maximum revenue?   c. Given that the company's cost function is: C(x)=5x+3000, how many T-shirts should they sell to maximize 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.