A trucking company owns three types of trucks: type I, type II, and type III. These trucks are equipped to haul three different types of machines per load according to the following chart:
Trucks of type I, II, and III cost $500, $600, and $1000 per trip, respectively. We are interested in finding how many trucks of each type should be sent to haul 12 machines of type A, 10 machines of type B, and 16 machines of type C. Formulate the problem and then solve it by the simplex method. (This is an integer programming problem; you may ignore the integrality requirements.)
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