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A company needs to purchase larger aircraft. The options included 20 of type A? and/or type...

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Basic Math

A company needs to purchase larger aircraft. The optionsincluded 20 of type A? and/or type B aircraft. To aid in their?decision, executives at the company analyzed the following data.Type A Type B Direct Operating Cost ?$1600 per hour ?$500 per hourPayload 32 comma 000 pounds 4000 pounds The company was faced withthe following constraints. ?1) Hourly operating cost was limited to?$40 comma 000. ?2) Total payload had to be at least 512 comma 000pounds. ?3) Only twenty type A aircraft were available. Given the?constraints, how many of each kind of aircraft should the companypurchase to maximize the number of? aircraft? To maximize thenumber of? aircraft, the company should purchase nothing type Aaircraft and nothing type B aircraft.

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Let the company purchase x type A and y type B aircraftsThe hourly operating cost of these aircrafts is 1600x500 y sothat 1600x500 y 40000 or 16x5y 400Total payload of these aircrafts is    See Answer
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