Question: Develop the programming model of a perfectly discriminating monopolist facing three or more inverse demand functions p = c - Dx, where D is an asymmetric positive semidefinite matrix of price/quantity slopes, and a linear technology Ax ≤ b, x ≥ 0.
(a) Can this problem be set up as dual pair of optimization models? Explain thoroughly.
(b) Formulate the problem as an LC problem.