Give typed explanation

With the rising cost of energy, the Government has decided to provide a monetary relief to households to help with fuel bills. Assume that it is considering two alternatives. The first is a subsidy on the unit price of fuel, which for convenience we will assume to cover only Electricity. The second is a lump-sum transfer in the form of an income payment. For the case of the subsidy option, consider a representative consumer Mrs Vieja who has a monthly income of V which she allocates between Electricity and a composite of All Other Goods. The unit price of Electricity is PE, and the unit cost of All Other Goods is 1. The subsidy available to Mrs Vieja is at a rate of s per unit of Electricity (0