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Calculus
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R(q) = 30-q^2

C(q) = 5q+100

Find the value of q that maximizes profit.

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Related questions

Suppose the cost function for producing gadgets is

C(q)=.05q^2+5q+50

At what level of production is the maximal profit achieved if each item is sold for 9 dollars and what is the maximum profit if each item is sold for 9 dollars?

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q"+R/L q'+1/LC q=1/L E(t) where R is resistance (in Ohms), C is capacitance (in Farads), L is the inductance (in Henrys), E(t) is the electromotive force (in Volts), and q is the charge on the capacitor (in Coulombs). Find the charge q as a function of time for the electrical circuit described. Assume that q(0) = 0 and q

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