Suppose that three firms are competing over quantity with the following inverse demand functions P1= -2.9,-0.5.92-0.5.93+102 P2= -0.5-4,-2.92-93 +161 P3 = -91-92-3.93 +187 What is the optimal value for firm one's quantity r What is firm one's optimal price v What is the optimal value for firm two's quantity What is firm two's optimal price What is the optimal value for firm three's quantity V What is firm three's optimal price What is the total consumer surplus in the industry V What is the total producer surplus in the industry Now supposed of thinking of these firms as differentiated competitors, think about them as a multi product differentiated firm (or think about a merged firm) What is the optimal value for product one's quantity What is product one's optimal price What is the optimal value for product two's quantity 3 What is product two's optimal price What is the optimal value for product three's quantity What is product three's optimal price What is the total consumer surplus in the industry V What is the total producer surplus in the industry r Suppose that three firms are competing over quantity with the following inverse demand functions P1= -2.9,-0.5.92-0.5.93+102 P2= -0.5-4,-2.92-93 +161 P3 = -91-92-3.93 +187 What is the optimal value for firm one's quantity r What is firm one's optimal price v What is the optimal value for firm two's quantity What is firm two's optimal price What is the optimal value for firm three's quantity V What is firm three's optimal price What is the total consumer surplus in the industry V What is the total producer surplus in the industry Now supposed of thinking of these firms as differentiated competitors, think about them as a multi product differentiated firm (or think about a merged firm) What is the optimal value for product one's quantity What is product one's optimal price What is the optimal value for product two's quantity 3 What is product two's optimal price What is the optimal value for product three's quantity What is product three's optimal price What is the total consumer surplus in the industry V What is the total producer surplus in the industry r