Two boating charter companies operate out of a port. Maritime Voyage changes $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? Maritime Voyage; choose this charter for less than 13 customers; Maritime Voyage; choose this charter for more than 7 customers

1 answer

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

Maritime Voyage:

  • Boat rental: $250
  • Cost per person: $25
  • Number of customers: 10

Total cost for Maritime Voyage: \[ \text{Total Cost} = \text{Boat Rental} + (\text{Cost per Person} \times \text{Number of Customers}) \] \[ \text{Total Cost} = 250 + (25 \times 10) = 250 + 250 = 500 \]

Catamaran Command:

  • Boat rental: $75
  • Cost per person: $50
  • Number of customers: 10

Total cost for Catamaran Command: \[ \text{Total Cost} = \text{Boat Rental} + (\text{Cost per Person} \times \text{Number of Customers}) \] \[ \text{Total Cost} = 75 + (50 \times 10) = 75 + 500 = 575 \]

Now, let's compare the total costs:

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

For a group of 10 customers, Maritime Voyage is the more affordable option at $500 compared to Catamaran Command at $575.

Summary:

  • Choose Maritime Voyage for 10 customers.
  • Maritime Voyage is also the better choice for less than 13 customers, and it is the better choice for more than 7 customers.