A retailer has an exclusive license to sell a line of handbags. The bags are so distinctive that consumers do not consider any competing offerings to be close substitutes. The retailer thus can be treated as a monopoly. The demand for the handbags is given by P=300-0.1Q. The marginal cost is constant and equal to 40, so variable cost is 40Q. The fixed cost is 90,000. Find the monopolist's profit-maximizing quantity.(Format: answers must be within 2 of the true value to be counted as correct. Do not include commas, dollar signs, or plus signs.)