if you can write the sinsitivity analysis read for (reduced cost and dual price) that would be helpful :)

3) Homework Problem: A compressor company has plants in three locations: Cleveland (1), Chicago (2), and Boston (3). During the past week the total production of a special compressor unit out of each plant has been 35, 50, and 40 units respectively. The company wants to ship 45 units to a distribution center in Dallas (1), 20 to Atlanta (2), 30 to San Francisco (3), and 30 to Philadelphia (4). The unit production and distribution costs from each plant to each distribution center are given in the Table. 1) Using an adequate ILP model, what is the best shipping strategy to follow? Table Unit Production and Shipping Costs Distribution centers 1 2 San 3 Availability Plants Dallas Atlanta Francisco Phila. (units) Cleveland 1 8 6 10 9 35 Chicago 2 9 12 13 7 50 Boston 3 14 9 16 5 40 Requirements (units) 45 20 30 30 [125] 4 Note: You can use Xij = Number of units to be distributed from source i (i=1,2, 3) to destination j (=1,2,3,4) as 12 integer decision variables 45 Dallas Cleveland 35 20 Atlanta Chicago 50 30 San Francisco Boston 40 30 Phila 2) Assume that all variables are continuous (LP) to perform a suitable sensitivity analysis