***Need solution in manual formulation (equations, constraints, decision variables etc) without using excel***

Arun has $60000 that he wishes to invest now in order to use the accumulation for purchasing a retirement annuity in 5 years. After consulting with his financial adviser, he has been offered four types of fixed-income investments, which are labelled as A, B, C, and D. Investments A and B are available at the beginning of each of the next 5 years. Each dollar invested in A at the beginning of a year returns $1.40 (a profit of $0.4) 2 years later (in time for immediate reinvestment). Each dollar invested in B at the beginning of year returns $1.70 three years later. Investments C and D will each be available at one time in the future. Each dollar invested in C at the beginning of year 2 returns $1.90 at the end of year 5. Each dollar invested in D at the beginning of year 5 returns $1.30 at the end of year 5. Al Ferris wishes to know which investment plan maximizes the amount of money that can be accumulated by the beginning of year 6. Formulate a linear programming model for this problem.