An electronics firm produces five electronic components in five different plants. Quality control records indicate that different plants produce different numbers of defective items. The average number of defects per batch produced by each plant for each of five components is given in the following table: Plant A B C D E 1 30 24 16 26 30 2 22 28 14 30 20 3 18 16 25 14 12 4 14 22 18 23 21 5 25 18 14 16 16 Also, the different plants exhibit different unit costs. The unit production cost per batch by each plant is given in the following table Plant A B C D E 1 7 10 15 20 21 2 5 8 15 16 25 3 6 12 12 18 22 4 9 9 11 17 24 5 8 14 10 16 23 For the sake of efficiency, Management has decided that each plant should be focused on producing one single type of electronic component (in other words, Management seeks to find a one-to-one mapping between plants and components). The number of batches which are supplied to customers is the same for all electronic components. Find an assignment that will minimize both objectives simultaneously. 1) Write the problem formulation 2) Solve the problem (use any approach that you prefer)