Dunder Mifflin is a paper company. The price p (in $) of a stack of paper can be expressed as a function

of the quantity q of stacks that they produce per day according to the formula p(q) = 20 (q2/50000)

(a) Compute dp/dq, q=400 and using plain language, explain to Dunder Mifflin what this

quantity means concretely. Make sure to include the units!

(b) Give a formula for the revenue R as a function of the price of a stack of paper.

(c) At what price should Dunder Mifflin set their stacks of paper in order to maximize their daily revenue? Show all of your reasoning in the box below