An exact solution to the bin packing optimization problem can be found using 0-1 integer programming (IP) see the format on the Wikipedia page. 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.
a) Six items S = { 4, 4, 4, 6, 6, 6} and bin capacity of 10
b) Five items S = { 20, 10, 15, 10, 5} and bin capacity of 20

Facial expressions and gestures are examples of messages.

Report all segments of identity by descent longer than 20 polymorphisms between pairs of individuals in the following cohort of 15 individuals across 49 polymorphisms: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 numeric input 2 points possible (graded) you have 2 attempts to complete the assignment below. for example if the sequence is "bcd", which occurs in "abcdef" , the starting point would be 2 (b), and the finishing point would be 4(d). individuals 7,10 between positions

Column a of irma’s spreadsheet contains titles for each row, but her document is too big and will be printed three pages across. she wants to be sure that every page will be understood. what can irma do to with this problem?