Problem 1. Uttam Corporation is an electrotechnical company, which operates a warehouse in Jamshedpur. The warehouse has 2 entry/exit points and 32 storage locations. Tables 1 and 2 show the characteristics of the six products and the distances between entry/exit points and the storage locations, respectively. Product Number of Storage Locations Required for Products Daily number of Storage and Retrieval 1 8 2 6 3 4 4 6 5 5 6 3 Dock 1 Dock 2 24 18 15 28 10 35 25 28 24 18 14 24 Distances between Docks 1 and 2 and storage locations are given below - + Storage Location Distance for Dock 1 Distance for Dock 2 1 3 24 2 5 18 3 6 20 4 9 18 5 11 16 6 4 24 7 6 20 8 8 17 9 9 19 10 12 18 11 3 25 12 5 22 13 7 16 14 9 18 15 16 17 18 9 19 24627 12 16 24 22 23 11 19 20 13 18 21 16 22 18 9 23 20 24 22 25 23 122754 26 17 12 27 19 28 18 29 22 30 21 2865 11 31 18 14 12 9 32 a. Assuming that the travel time from entry/exit point to storage location is directly proportional to the corresponding distance, determine the optimal allocation of the products in the warehouse. b. If only one dock is available (consider Dock 1), determine the optimal allocation of products to the storage locations.