Company XYZconsiders five projects for investment.For each project, the NPV and expenditures required are available. The investment alternatives are limited by the following conditions: - At least one of projects 1,2 , and 5 must be undertaken. - If either project 1 or 4 is undertaken, both need to be implemented. The budget is $240 million. Build an optimization model. Which projects must be undertaken to maximize the NPV while staying within the specified budget and satisfying all restrictions?What is the optimal NPV? Is all budged used? Company XYZconsiders five projects for investment.For each project, the NPV and expenditures required are available. The investment alternatives are limited by the following conditions: - At least one of projects 1,2 , and 5 must be undertaken. - If either project 1 or 4 is undertaken, both need to be implemented. The budget is $240 million. Build an optimization model. Which projects must be undertaken to maximize the NPV while staying within the specified budget and satisfying all restrictions?What is the optimal NPV? Is all budged used