What is the formula used to equate mc and mr


For monopoly set the price when MC=MR

For calculating MR first write the equation for total revenue (TR)

TR=P*Q = (800-5Q)*Q --------(1)

Differentiate (1) w.r.t. Q to get MR

MR=dTR/dQ = 800 - 10Q----------(2)

MC = 15Q

Equate MC and MR, we get Q = 32
P

ut this in equation for P to calculate P, P=640

The above response was very helpful, however I am still having trouble figuring out the precise method used for solving for Q. What is the formula used to equate MC and MR?

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Microeconomics: What is the formula used to equate mc and mr
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