3) In the beginning of the month Mr. Dean has 3000 $. Mr.Dean's income and and expenses for the forthcoming 5 months are given in the table below. In any month, Mr.Dean will be depositing the surplus money he has to a deferred bank account from 1 month to 5 months. The interest rates of the bank depend on the duration of term and for 1 month term %1, for 2 months %2.5, for 3 months %3.75, for 4 months %5.5 and for 5 months %7 net interest income will be acquired. Mr.Dean will not be drawing his money until the end of term. How should Mr.Dean invest in order to achieve maximum gain? Write the decision model of the problem. Monthly Income Expenses 1 900 2 1200 2000 3 2000 1500 4 1000 2600 5 1400 1200