Write an integer program for each of the following instances of bin packing and solve with the software of your choice. Submit a copy of the code and interpret the results.

1. a) Six items S = { 4, 4, 4, 6, 6, 6} and bin capacity of 10

2. b) Five items S = { 20, 10, 15, 10, 5} and bin capacity of 20

Note: The version of LINDO that you have access to on the OSU server has a limit of 50 integer variables. Therefore, LINDO will only be able to solve problems with at most 6 items.