A monopoly faces the following demand curve: 225 QE p2 where Q is the quantity demanded and P is the price. Its average variable cost is AVC = Q0.5 and its fixed cost is 2. (Unless otherwise instructed, round all answers to two decimal places.) Hint: If the demand has the form P = aQ" , the marginal revenue (MR) is given by MR = a . (b + 1) . Q". If the AVC has the form AVC = Q", the marginal cost (MC) is given by MC = (1+ c) . Q What are its profit-maximizing price and quantity? Its profit-maximizing quantity is |units. The monopoly's profit-maximizing price is $. What is the resulting profit? Resulting profit is $ Suppose the government regulated the price to be $5.71 per unit. How much will the monopolist produce? The monopoly will produce units.Suppose the government regulated the price to be $5.71 per unit. How much will the monopolist produce? The monopoly will produce units. What will be its profit? Profit will be $ . (Enter a numeric response using a real number rounded to three decimal places.) Suppose the government wants to set a ceiling price that induces the monopolist to produce the largest possible output. What price will accomplish this goal? The monopoly will produce the largest possible output if the government regulates a price of $ per unit