The monthly revenue R (in thousands of dollars) from the sales of a digital picture frame is approximated by  R(p) = −8p2 + 1360p,  where p is the price per unit (in dollars). (a) Find the monthly revenues for unit prices of $50, $70, and $90.  R(50)  =  $  thousand R(70)  =  $  thousand R(90)  =  $  thousand  (b) Find the unit price that will yield a maximum monthly revenue.  p = $   (c) What is the maximum monthly revenue?  R = $  thousand

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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.