14. Average Cost: PlayStation 4Assume that it costs Sony approximately 800,000 340x 0.0005x^2 dollars to manufacture x PlayStation 4's in an hour. How many PlayStations should be manufactured each hour to minimize average cost? What is the resulting average cost of a PlayStation 4? If fewer than the optimal number are manufactured per hour, will the marginal cost be larger, smaller, or equal to the average cost at that lower production level?