Reference no: EM133067564

1. Write linear constraints with continuous and integer variables for the following problems. You need to clearly de?ne the variables that you introduce and give an explanation of your constraints. (a) If we invest $100 or more on project 1, then we can only invest at most $100 on project

2. Suppose the investment amount on each project is a continuous variable. (b) If two continuous variables x1,xz satisfy the linear constraint x1 +x2 < 1, then they also need to satisfy x1 - x2 2 1. Plot the feasible region of (161,162) that satis?es the above if-then statement. Is this feasible region a convex set? Now use linear constraints with continuous and integer variables to model this if-then statement. Define all the variables you need and explain the constraints that you write down.