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Kia Car dealership repairs two models of Cars, the Optima 1 and the Soul 2. The dealership employs 6 (six) Mechanics, working 160 hours each per month, on its test/repair facility. Management insists that full employment (all 160 hours) to be maintained for each worker during next month's operations. It requires 10 labor hours to repair each Optima 1 and 16 labor hours to repair each Soul 2 model. Dealer wants to see at least 10 Optima 1 and at least 15 Soul 2 repaired during the test/repair period. Optima 1 generate $1000 profit per car, and Soul 2 yield $1500 each.
a). State problem mathematically (Formulate) and identify constraints.
b). Determine the most profitable number of each model of cars (the Optima 1 and the Soul 2.) to repair during the coming month.
c) How much profit will increse with an extra hour of labor ?
d) If management wants atleast 16 Souls repaired in month then how much will be total profit?
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