Directions: Solve the following problem using linear programming. A finance manager has $ 2,500,000 in a pension fund, all or part of which must be invested. The manager has two investments in mind, conservative bonds that produce 5.5% per year and riskier mortgage bonds that produce 11% per year. According to government regulations, no more than 30% of the amount invested can be in mortgage bonds. Furthermore, the least you can put into mortgage bonds is $ 300,000. Determine the amounts of the two investments that would maximize the total investment. What is the total annual investment? Step 1: Write what the variables represent: x: ______________________________________________________

y: ______________________________________________________ Step 2: Establish the objective function and the system of linear inequalities that satisfy the conditions of the problem. Step 3: Sketch the graph of the system of inequalities (shading the feasible region) Step 4: Determine the corner points and the value of the corresponding objective function (complete the table). Step 5: Write the conclusion