Question 3: 20 marks] Five projects are being evaluated over a 3-month planning horizon. The following table gives the expected returns for each project and the associated yearly expenditures. 8 0 9 41 6 2 1 10 8 max- Project Expenditures Month 1 Month 2 Month 3 Return Happiness 5 1 20 Calm 4 7 10 40 peace 20 Joy 7 15 Bliss 30 Available Funds 25 25 25 Formulate this problem to be able to select the project that wot imize the return in the following two cases: 1. The remaining funds from a previous month cannot be carried over to the next month 2. The remaining funds from a previous month can be carried over to the next month. Solve the problem using Branch and Bound technique. You can solve the relaxed LP using a solver, but make the branches and the bounds yourself and draw the resulting graph. Question 4: (20 marks) For the five projects being evaluated in Question2, we now want to Maximize the return while minimizing the expenditures over the 3-month planning horizon. Write this problem as a multi-objective problem and draw the Pareto frog Formulate this problem as a misti-objective problem and draw the Pareto front for the case where the remaining funds cannot be carried over the next month. You can use a solver for solving the ILP for this section. Question 3: 20 marks] Five projects are being evaluated over a 3-month planning horizon. The following table gives the expected returns for each project and the associated yearly expenditures. 8 0 9 41 6 2 1 10 8 max- Project Expenditures Month 1 Month 2 Month 3 Return Happiness 5 1 20 Calm 4 7 10 40 peace 20 Joy 7 15 Bliss 30 Available Funds 25 25 25 Formulate this problem to be able to select the project that wot imize the return in the following two cases: 1. The remaining funds from a previous month cannot be carried over to the next month 2. The remaining funds from a previous month can be carried over to the next month. Solve the problem using Branch and Bound technique. You can solve the relaxed LP using a solver, but make the branches and the bounds yourself and draw the resulting graph. Question 4: (20 marks) For the five projects being evaluated in Question2, we now want to Maximize the return while minimizing the expenditures over the 3-month planning horizon. Write this problem as a multi-objective problem and draw the Pareto frog Formulate this problem as a misti-objective problem and draw the Pareto front for the case where the remaining funds cannot be carried over the next month. You can use a solver for solving the ILP for this