(a) How does management science deal with solving managerial problems in an organization? (b) In an election campaign, the strategies adopted by the ruling and opposition party along with payoffs (ruling party's % share in votes polled) are given below: Opposition party's strategies Campaign one day in cach city Campaign two days in large towns Ruling party's strategies Spend two days in large rural sectors 35 55 40 70 70 55 Campaign one day in each city Campaign two days in large towns Spend two days in large rural sectors 75 55 65 Assume a zero-sum and mixed strategy game. Find optimum strategies for both parties and expected pay off to the ruling party