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 ?

Question

Snowflake

Mathematics

28 April, 21:50

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 ?

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Answers (1)

Know the Answer?

Madeleine Kane · Answer 1

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.