The Pampered Pooch sells high-end pet furniture, specializing in small breed dogs. The most popular item is the memory foam dog bed, with the following demand curve: Q = 24,400 - 239(P). While expensive, the bed comes with a washable cover and free shipping. Variable costs run at $46. At what quantity sold will total contribution margin be maximized? Round your answer to the nearest dog bed.

The correct answer is 6,703

Please explain how this is the correct answer? Thank you