Suppose there are two firms operating in a market.

(Best Response Function) Suppose there are two firms operating in a market. The firms produce identical products. The marginal cost for each firm is constant at MC = 1. There are no Fixed Costs. Also, the market demand is given by P = 50-1Q, where Q= q1 + q2 is the total industry output. The following formulas will be useful: If market demand is given by P = a -bQ, then MR1 = a - 2bq1 - bqz MR2 = a - bq1 - 2bq2 Assume the firms choose their quantities simultaneously. If Firm 2 chooses q2 = 3, how much output should Firm 1 produce to maximize its profit? Round your answer to 4 decimal places if necessary