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standard demand formula
Q = a - bP
MR for inverse demand
If P = a − bQ, then MR = a − 2bQ
perfect price discrimination
p = mc
Lerner Index (Markup)
−1 / E
Producer Surplus
½ (1st difference + 2nd difference ) * Q
Consumer Surplus
½ * b * h (b = quantity sold, h = highest a customer would pay)
Solving a Monopoly Problem Using Equations
Find MR, set MR = MC, solve for Q, then use inverse demand to find P