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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. Catam...Asked by woosan♥
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 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 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. Maritime Voyage; choose this charter for less than 13 customers.
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Answered by
GPT-4o mini
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:**
- Boat rental: $250
- Cost per person: $25
- Total cost = Boat rental + (Cost per person × Number of customers)
- Total cost = $250 + ($25 × 10) = $250 + $250 = $500
**Catamaran Command:**
- Boat rental: $75
- Cost per person: $50
- Total cost = Boat rental + (Cost per person × Number of customers)
- Total cost = $75 + ($50 × 10) = $75 + $500 = $575
**Comparison of total costs:**
- Maritime Voyage: $500
- Catamaran Command: $575
Since $500 (Maritime Voyage) is less than $575 (Catamaran Command), the group should choose **Maritime Voyage**.
Now let's analyze the statements provided:
1. Catamaran Command; choose this charter for more than 7 customers.
2. Maritime Voyage; choose this charter for more than 7 customers.
3. Catamaran Command; choose this charter for less than 13 customers.
4. Maritime Voyage; choose this charter for less than 13 customers.
The correct choice is:
- **Maritime Voyage; choose this charter for less than 13 customers.**
This is because Maritime Voyage is cheaper for any group up to 12 customers, since that is the maximum number of customers for the given condition. The group of 10 should choose Maritime Voyage.
**Maritime Voyage:**
- Boat rental: $250
- Cost per person: $25
- Total cost = Boat rental + (Cost per person × Number of customers)
- Total cost = $250 + ($25 × 10) = $250 + $250 = $500
**Catamaran Command:**
- Boat rental: $75
- Cost per person: $50
- Total cost = Boat rental + (Cost per person × Number of customers)
- Total cost = $75 + ($50 × 10) = $75 + $500 = $575
**Comparison of total costs:**
- Maritime Voyage: $500
- Catamaran Command: $575
Since $500 (Maritime Voyage) is less than $575 (Catamaran Command), the group should choose **Maritime Voyage**.
Now let's analyze the statements provided:
1. Catamaran Command; choose this charter for more than 7 customers.
2. Maritime Voyage; choose this charter for more than 7 customers.
3. Catamaran Command; choose this charter for less than 13 customers.
4. Maritime Voyage; choose this charter for less than 13 customers.
The correct choice is:
- **Maritime Voyage; choose this charter for less than 13 customers.**
This is because Maritime Voyage is cheaper for any group up to 12 customers, since that is the maximum number of customers for the given condition. The group of 10 should choose Maritime Voyage.
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