Chrysler produces cars using steel in both the U.S. and Canada with the production functions: Qus = 135Sus - 0.5Sus and Qc = 50Sc - 0.75Sc2 where Qus is cars produced in the U.S., Oc is cars produced in Canada, Sus is steel used to produce cars in the U.S., and Sc is steel used to produce cars in Canada. a. Recently, the U.S. imposed tariffs on imported steel. With the tariff, the price of steel to Chrysler in the U.S. has become 10% higher than the price of steel in Canada: (i.e., Pus = 1.1Pc or or PUS = 1. 1). What is the optimal mix of steel used by Chrysler to produce cars in U.S. and Canada? You can assume that Chrysler sells cars from plants in both countries at the same price b. Suppose the total steel that Chrysler has contracted for is 100 such that Sus + Sc= 100. How many cars should Chrysler produce in the U.S. and how many should it produce in Canada given the tariff