A business executive has the option to invest money in 2 plans A and B. Plan A guarantees an income of Rs70 for every Rs100 invested after one year, while Plan B promises an income of Rs200 for every Rs100 invested after 2 years. In Plan A, investments can be made annually, and in Plan B investments can be made for period those are multiples of 2 years only. Formulate an LPP to arrive at how should the executive invest Rs.100000 to maximize his earnings at the end of 3 years?