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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? Maritime Voyage, choose this charter for less than 13 customers; Maritime Voyage, choose this charter for more than 7 customers; Catermaran Command, choose this charter for less than 13 customer; Catarmaran Command, choose this charter for more than 7 customer

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 company.

Maritime Voyage:

  • Cost formula: Total Cost = Boat Rental + (Cost per person × Number of people)
  • Boat Rental = $250
  • Cost per person = $25
  • Number of people = 10

Total Cost for Maritime Voyage = \[ 250 + (25 \times 10) = 250 + 250 = 500 \]

Catamaran Command:

  • Cost formula: Total Cost = Boat Rental + (Cost per person × Number of people)
  • Boat Rental = $75
  • Cost per person = $50
  • Number of people = 10

Total Cost for Catamaran Command = \[ 75 + (50 \times 10) = 75 + 500 = 575 \]

Now we compare the total costs:

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

Thus, for a group of 10 customers, Maritime Voyage is the more cost-effective option.

Regarding your statements, it seems they are not all fully coherent, but we can summarize:

  • "Maritime Voyage, choose this charter for less than 13 customers" can be inferred as correct since it is cheaper than Catamaran Command for 10 customers.
  • Likewise, for more than 7 customers (as we calculated for 10), Maritime Voyage is still the cheaper option.

So as per your instructions:

  • Choose Maritime Voyage as it is less expensive for the group of 10 customers.