43 The Kimten Manufacturing Company needs to process 18 jobs. Kimten can process each job on any of the six machines it has available, but each job must be allocated to only one machine. Iqbal Ahmed, production supervisor at Kimten, wants to allocate jobs to machines in such a manner that all machines have total loads that are as close as possible to each other.

The machine hours required for each job are shown in the following table.

JOB MACHINE HOURS 1 39.43 2 27.94 3 40.27 4 18.27 5 12.72 6 35.20 7 27.94 8 17.20 9 17.20 10 17.20 11 21.50 12 16.74 13 28.29 14 6.07 15 16.01 16 18.49 17 12.16 18 36.67