(10 points) You own a three Michelin star restaurant located near Central Park. It costs you $1000 per day to rent this location. You offer a meal at p dollars. When you charge $300 per meal, you receive 20 customers per day. For every $20 you increase the price, you lose 2 customers. Each meal you serve costs you $50 to produce. At what price should you charge for the meal to maximize profit for a day? Assume each customer consumes only one meal. You must justify your answer using calculus