Part 4: Integer Linear Optimization Model The Sunrise Investment Company is considering investing in four projects. The expected net present value (NPV) and the required capital at the present time for project are given in the table below. Project Expected NPV ($) 12,000 18,000 9,000 10,000 Required Capital ($) | 4,000 7,000 3,000 2 6,000 At present, a budget of $15,000 is available for investment. Sunrise has some specifi requirements (as detailed in the constraints section). Please help Sunrise develop an investment plan. Follow the steps below. 1. Define the decision variables. (Note: This step is done for you. Please use these decision variables hereafter.) X1 - 1 if project 1 is selected for investment; 0 otherwise. X2 = 1 if project 2 is selected for investment; 0 otherwise, X3 - 1 if project 3 is selected for investment; 0 otherwise. X4 - 1 if project 4 is selected for investment; 0 otherwise. Question 39 (2 points) Saved Among projects 1, 2, and 4, exactly two of them must be selected. le X1 + X2 + X4 = 2 OX1 + X2+ X4 s 2 Ox2 + X2 2 X4 OX1 + X2 + X4 22 Question 40 (2 points)