1. A manufacturer of refrigerators must ship at least 100 refrigerators to its two West coast warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A already has 25 refrigerators while warehouse B has 20 on hand. It costs $12 to ship a refrigerator to warehouse A and $10 to ship one to warehouse B. how many refrigerators should be shipped to each warehouse to minimize cost and what is the minimum cost? Let x = number of refrigerators shipped to warehouse A and y = number of refrigerators shipped to warehouse B. a. Write all the constraints for this linear programming problem. b. What is the objective function? c. What is the goal in solving this linear programming problem? Write a complete sentence. d. Graph the region of feasible solutions for the constraints determined above. Shade the region of feasible solutions. Label and scale the axes and label the coordinates of the intersection point and the intercepts on the graph. e. List the corner points of the region of feasible solutions and show all your work in computing objective function at each corner point. f. Write the conclusion to the problem in a complete sentence. 2. Suppose $1400 is invested at 8.4% annual interest rate compounded monthly. a. What is the value of the investment after 12 years? b. What is the amount of interest earned on the investment? 3. The mileage at