In: Economics
A monopolist with a straight-line demand curve finds that it can sell 2 unit at 12 dollar each or 12 unit at 2 dollar each. Its marginal cost is constant at 3 dollar per unit. Draw the MR, and MC curves for this monoply
Given the two points on the demand curve (2,12) and (12,2), we can find the demand equation as:
Q- 12 = (2-12)/(12-2) (P-2)
which gives P = 14 - Q
Total revenue = P. Q = (14-Q)Q = 14Q - Q^2
and MR = dTR/dQ = 14-2Q
Thus, the MR and MC curves are depicted graphically as follows: