Assume that it costs Sony approximately C (x) = 800,000+ 340x +0.0005x2 dollars to manufacture x PlayStation 4's in an hour. a) How many PlayStations should be manufactured each hour to minimize the average cost? Justify your answer. (12 points) b) Determine the minimum average cost. Justify your answer (3 points) A detailed procedure including a table summarizing the variation study of the function is required. Note that the graph of the function is not required.