A software company knows that they have two types of customers: home-users and corporate-users. For their newly released software, there are 150 home-users who would be willing to pay $350 for the software, and there are 50 corporate-users who would be willing to pay $800 for the software. The total cost of manufacturing the software is $20,000. If the software company cannot price discriminate, what price should it charge for its software to maximize profit?
Format tip: Answers must be within 0.5 of the true value to count as correct. Do not include dollar signs, negative signs, plus signs, or spaces.