The Brewster charter bus company provides a bus trip for a fare of $80 each for 30 or fewer passengers. For each passenger in excess of 30, the fare is decreased $2 per person for everyone. What number of passengers will produce the maximum revenue for the bus company?

A. 40

B. 35

C. 30

D. 25

Question

Mathematics

Mackenzie Mcclure

21 September, 08:50

The Brewster charter bus company provides a bus trip for a fare of $80 each for 30 or fewer passengers. For each passenger in excess of 30, the fare is decreased $2 per person for everyone. What number of passengers will produce the maximum revenue for the bus company?

A. 40

B. 35

C. 30

D. 25

+2

Answers (2)

Know the Answer?

Ivy Herman · Answer 1

B. 35

Step-by-step explanation:

The bus company charges $80 for each passenger up to 30. They charge $2 less per person over 30. This means for 31 passengers they charge $78, for 32 passengers they charge $76 etc. The total revenue for the bus company will be the price of each ticket times the number of passengers. This is shown below in the table.

Passengers Revenue

30 30*80 = 2400

31 31*78 = 2418

32 32*76 = 2432

33 33*74 = 2442

34 34*72 = 2448

35 35*70 = 2450

...

40 40*60 = 2400

The max revenue the company receives is 35 passengers.

John Cantu · Answer 2

B. 35

Step-by-step explanation:

The top and bottom are identical. Anyway, there you have it.

The Brewster charter bus company provides a bus trip for a fare of $80 each for 30 or fewer passengers. For each passenger in excess of 30, the fare is decreased $2 per person for everyone. What number of passengers will produce the maximum revenue for the bus company?A. 40B. 35C. 30D. 25

The Brewster charter bus company provides a bus trip for a fare of $80 each for 30 or fewer passengers. For each passenger in excess of 30, the fare is decreased $2 per person for everyone. What number of passengers will produce the maximum revenue for the bus company?

A. 40

B. 35

C. 30

D. 25