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A Company is considering three models of planes to purchase. The price of model A, B, and C are $6.7 M, $5 M, and $3.5 M. The Company can invest up to $ 150 M. Based on the following information how many plane of each model should be purchased? · Annual profit of each plane is anticipated to be $420,000, $300,000, and $230,000, respectively. · The Company can afford to have 30 new pilots. · Maintenance group are capable of maintaining 40 model B planes, and it is estimated that each model B requires 1 and 1/3 model C, and each model A requires 1 and 2/3 model C repair needs.

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