An appliance repair shop has 5 vacuum cleaners, 12 TV sets, and 18 VCRs to be repaired. The store employs two part time repairmen. One repairman can repair at least one vacuum cleaner, three TV sets and three VCRs in 1 week, while the second repairman can repair at least one vacuum cleaner, two TV sets and six VCRs in 1 week. The first employee is paid $250 a week and the second is paid $220 a week. To minimise the cost (in terms of wages paid), how many weeks should each of the two repairmen be employed? Clearly outline the objective function and the constraints.
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