Two boating charter companies operate out of a port. Maritime Voyage charges $250 for the boat rental and $25 per person. Catamaran Command charges $75 for the boat rental and $50 per person. If a group has 10 customers, which charter should they choose? (1 point)

Responses

Maritime Voyage; choose this charter for more than 7 customers.
Maritime Voyage; choose this charter for more than 7 customers.

Catamaran Command; choose this charter for less than 13 customers.
Catamaran Command; choose this charter for less than 13 customers.

Catamaran Command; choose this charter for more than 7 customers.
Catamaran Command; choose this charter for more than 7 customers.

Maritime Voyage; choose this charter for less than 13 customers.

1 answer

To determine which charter company is more cost-effective for a group of 10 customers, we can calculate the total cost for each charter:

Maritime Voyage:

  • Boat rental: $250
  • Cost per person: $25
  • Total cost for 10 customers: \( 250 + (25 \times 10) = 250 + 250 = 500 \)

Catamaran Command:

  • Boat rental: $75
  • Cost per person: $50
  • Total cost for 10 customers: \( 75 + (50 \times 10) = 75 + 500 = 575 \)

Now, we can compare the total costs:

  • Maritime Voyage: $500
  • Catamaran Command: $575

Since the total cost for Maritime Voyage ($500) is less than the total cost for Catamaran Command ($575), the group should choose Maritime Voyage.

The correct response is: Maritime Voyage; choose this charter for more than 7 customers.