Marginal Revenue Derivation:

Demand Curve Function

P = 100 – 2Q_d

Vertical intercept along P axis is 100

Slope is – 2

Solve for Q_d, quantity demanded is a function of price

Q_{d =} 50 - .5P

R = 100Q – 2Q² Remember R = PQ

MR = dR / dQ = 100 – 4Q