Suppose that the United States military is fighting two wars at the same time. The wars are taking place in two fronts, A and B. Consider the problem of a general who has to decide how to allocate M units of troops among the two fronts. Based on a recent analysis, the general knows that the benefit of placing a units of troops in front A is 10 In (a) and the benefit of placing b units of troops in front B is 201n (b). QUESTION. What is the expression for the optimal amount of troops that should be placed in front A? (Ignore indivisibility/integer problems by assuming that soldiers can be allocated fractionally to both fronts.)