WMW's cost of producing a deluxe marble kits per week is c = 225g + 2500. (a) (3 pts) Find the price that WMW should set to maximize their weekly profit, the corresponding profit maximizing output and their maximum weekly profit. (b) (1 pt) Show how you know that the profit you found in (a) is WMW's absolute maximum weekly profit. (c) (2 pts) The Whoville city council decides to impose a $44.25 per kit production tax on WMW. How much of this tax should WMW pass on to consumers in the form of a price increase in order to maximize their weekly profit under this new condition?