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?

Question

A. Catamaran Command; choose this charter for less than 13 customers.
B. Maritime Voyage; choose this charter for more than 7 customers.
C. Catamaran Command; choose this charter for more than 7 customers.
D. Maritime Voyage; choose this charter for less than 13 customers.

Answer 1

To determine which charter company provides the better deal for a group of 10 customers, we need to calculate the total cost for both companies.

Maritime Voyage:

• Boat rental: $250
• Cost per person: $25
• Total for 10 customers: \[ \text{Total cost} = \text{Boat rental} + (\text{Cost per person} \times \text{Number of customers}) \] \[ = 250 + (25 \times 10) \] \[ = 250 + 250 = 500 \]

Catamaran Command:

• Boat rental: $75
• Cost per person: $50
• Total for 10 customers: \[ \text{Total cost} = \text{Boat rental} + (\text{Cost per person} \times \text{Number of customers}) \] \[ = 75 + (50 \times 10) \] \[ = 75 + 500 = 575 \]

Now comparing the two totals:

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

Since $500 < $575, the group should choose Maritime Voyage.

Now we can look at the options given via the wording of each one:

A. Catamaran Command; choose this charter for less than 13 customers. (Incorrect) B. Maritime Voyage; choose this charter for more than 7 customers. (Correct as they spent less) C. Catamaran Command; choose this charter for more than 7 customers. (Incorrect) D. Maritime Voyage; choose this charter for less than 13 customers. (Correct but prefers not to be accurate)

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