There are 1010 households in Lake​ Wobegon, Minnesota, each with a demand for electricity of Upper Q equals 50 minus Upper PQ=50−P. Lake Wobegon​ Electric's (LWE) cost of producing electricity is TC equals 600 plus 2 Upper QTC=600+2Q. a. If the regulators of LWE want to make sure that there is no deadweight loss in this​ market, what price will they force LWE to​ charge? What will output be in that​ case? Calculate consumer surplus and​ LWE's profit with that price. ​(Round all responses to two decimal​ places.)