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A monopolistic firm produces three products with the following demand functions: P1= 180 -3Q1- Q2- 2Q3P2= 200 - Q1- 4Q2P3= 150 - Q2- 3Q3 222

A monopolistic firm produces three products with the following demand functions:

P1= 180 -3Q1- Q2- 2Q3P2= 200 - Q1- 4Q2P3= 150 - Q2- 3Q3

222

TC = Q1+Q1Q2+Q2+Q2Q3+ Q3

(a)Determine the equilibrium price and equilibrium quantities in the market for each product.

(b)Find the price elasticity of demand for each commodity.

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