In a discriminating monopoly, the total demand function is P = 100 2X and demand function of segmented markets are 

P₁ = 80 - 2·5X₁ and 

P₂ = 180 -  10X₂

The cost function is C = 50 + 40 (X₁ + X₂); where X₁ + X₂ = X.

Calculate the profit of the monopolist; (i) with discrimination and (ii) without. discrimination. (250 words) (20 Marks)