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Consider a market with inverse demand P(Q) = 100 - Q

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Consider a market with inverse demand P(Q) = 100 - Q. Assume there are two different duopolies serving it, D1 with two firms having unit costs c1 = 6 and c2 = 2, and D2 with two (symmetric) firms both having unit cost c = 4.

(a) Find the Cournot equilibrium in each duopoly.

(b) Compare the equilibrium market price and consumer surplus in the two duopolies.

(c) Calculate social welfare in the two markets and compare them. Provide a precise economic intuition for the result.