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The cost of a charter flight to Miami is ​$230 each for 75 ​passengers, with a refund of​ $5 per passenger for each passenger in excess of 75. How many passengers must take the flight to produce a revenue of ​$15 comma 990​?

Respuesta :

Answer: 67

Step-by-step explanation:

Let x = number of passengers.

Case M: x< =75 (no refund)

Cost per passenger = $230

To generate the revenue, we should satisfy

230x =15990

x = 69.5

Set x = 67 in order to generate the revenue.

Case N: x>75

Cost per passenger minus refund = 230 - 5 = $225

Therefore

225x = 15990

x = 71.1

Because x<75, ignore this answer.

More than 75 passengers will generate more than $15990.

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