An appliance repair shop has 5 vacuum cleaners, 12 TV sets, and18 VCRs to be repaired. The store employs two part-time repairmen. One repairman canrepair one vacuum cleaner, three TV sets, and three VCRs in 1 week, while the secondrepairmen can repair one vacuum cleaner, two TV sets and six VCRs in 1 week. The firstemployee is paid $250 a week and the second employee is paid $220 a week. Tominimize the cost, how many weeks should each of the two repairmen be employed?
x = number of weeks for first repairman y = number of weeks for second x + y ≥ 5 3x + 2y ≥ 12 3x + 6y ≥ 18 graph to get the corner points the corner points are (2,3) and (4,1) z(x,y) = 250x + 220y z(2,3) = 1160 z(4,1) = 1220 thus x = 2, y = 3
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