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a commuter railway has 800 passengers per day and charges each one two dollars per day. for each 1 cents that the fare is increased, 5 fewer people will go by train. what is the greatest profit that can be earned?

Sagot :

The biggest profit that can be made is $ 4,050 with 450 passengers.

To know how many passengers the train needs to obtain the greatest profit, it is necessary to carry out the following operation.

  • Subtract 5 passengers from the total passengers, and then multiply the result by $ 2.1 as shown below:

  • 800 - 5 = 495
  • 795 x $ 2.1 = $ 1,680

This operation must be carried out repeatedly, decreasing by 5 passengers and increasing the value of the railway ticket by $ 0.1.

The highest value of gain that can be found with this procedure is as follows:

  • 800 - 350 = 450
  • 450 x $ 9.0 = $ 4,050.

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