A call center company had to arrange transportation for its employees. They asked for quotes from different provider agencies and the following are the options they got: A. This option allows having uniform rate for day and night trips. This would cost you Rs.1000 per trip. B. This option has differential fare for day and night trips. Day trips would cost 700 per trip and night trips would be charged 1200 per trip. C. This option charges depending on the total distance covered in a trip. It charges Rs.800 per trip if trip distance is more than 50 KM and Rs.1100 if trip distance is less than 50 KM. If the company has 3 night trips and all less than 50 KM and 3 day trips less than 50 KM, which would be the best option?
B
Analyzing Transportation Costs for Call Center Trips
This problem asks us to determine the most cost-effective transportation option for a call center based on a specific travel scenario. We need to calculate the total cost for each of the three provided options (A, B, and C) given the requirement of 3 night trips (less than 50 KM each) and 3 day trips (less than 50 KM each), and then compare these total costs.
Understanding the Transportation Options
Let's break down how each provider agency charges for their trips:
- Option A: Offers a flat rate per trip, regardless of the time of day or the distance covered.
- Option B: Uses a differential pricing based on the time of day. Day trips have one rate, and night trips have another. The description doesn't mention distance affecting this price.
- Option C: Charges based on the trip distance. There is one rate for trips greater than 50 KM and another for trips less than 50 KM. The description doesn't mention the time of day affecting this price.
Evaluating the Specific Trip Scenario
The call center requires transportation for:
- 3 night trips, each less than 50 KM.
- 3 day trips, each less than 50 KM.
This totals \(3 + 3 = 6\) trips.
Calculating Total Cost for Each Option
Option A Cost Calculation
Option A charges a uniform rate of Rs. 1000 per trip. Since there are 6 trips in total:
Total cost for Option A = \( \text{Number of trips} \times \text{Rate per trip} \)
Total cost for Option A = \( 6 \times 1000 = 6000 \)
The total cost for Option A is Rs. 6000.
Option B Cost Calculation
Option B charges Rs. 700 for day trips and Rs. 1200 for night trips. There are 3 day trips and 3 night trips:
Cost for day trips = \( \text{Number of day trips} \times \text{Rate for day trip} \)
Cost for day trips = \( 3 \times 700 = 2100 \)
Cost for night trips = \( \text{Number of night trips} \times \text{Rate for night trip} \)
Cost for night trips = \( 3 \times 1200 = 3600 \)
Total cost for Option B = Cost for day trips + Cost for night trips
Total cost for Option B = \( 2100 + 3600 = 5700 \)
The total cost for Option B is Rs. 5700.
Option C Cost Calculation
Option C charges Rs. 800 per trip if the distance is more than 50 KM and Rs. 1100 per trip if the distance is less than 50 KM. In the given scenario, all 6 trips (3 day and 3 night) are less than 50 KM:
Cost per trip (less than 50 KM) = Rs. 1100
Total cost for Option C = \( \text{Number of trips} \times \text{Rate per trip (less than 50 KM)} \)
Total cost for Option C = \( 6 \times 1100 = 6600 \)
The total cost for Option C is Rs. 6600.
Comparing the Total Costs
Let's summarize the total cost for each transportation option in a table:
| Option | Total Cost (Rs.) |
|---|---|
| A | 6000 |
| B | 5700 |
| C | 6600 |
Comparing the total costs, we see that:
- Option A costs Rs. 6000.
- Option B costs Rs. 5700.
- Option C costs Rs. 6600.
The lowest cost among the three options is Rs. 5700, which is offered by Option B.
Conclusion
For the specific scenario of 3 night trips less than 50 KM and 3 day trips less than 50 KM, Option B provides the lowest total cost compared to Option A and Option C. Therefore, Option B would be the best choice for the call center in this situation.
Important Questions from Quick Math
A is 120% of B and B is 65% of C. If the sum of A, B and C is 121.5, then the value of C - 2B + A is:
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