A Manager Needs To Order Company Shirts For Each Employee. She Was Quoted The Following Rates. If She Orders 75 Shirts And Passes The Cost Along To The Employees, What Would Each Employee Owe For The Shirt If Each Pays The Same Amount? Round To The
As a manager, ordering company shirts for employees can be a daunting task, especially when it comes to calculating the cost per employee. In this scenario, we will explore how to determine the cost per employee if the manager orders 75 shirts and passes the cost along to the employees.
Understanding the Quoted Rates
The manager was quoted the following rates for the company shirts:
- 1-24 shirts: $10 each
- 25-49 shirts: $9 each
- 50-74 shirts: $8 each
- 75+ shirts: $7 each
Calculating the Cost per Employee
To calculate the cost per employee, we need to determine the total cost of the shirts and then divide it by the number of employees (75 in this case).
Let's analyze the quoted rates and determine which rate applies to the order of 75 shirts.
Since the manager is ordering 75 shirts, which falls under the category of 75+ shirts, the rate per shirt is $7.
Total Cost Calculation
To calculate the total cost, we multiply the number of shirts by the rate per shirt:
75 shirts x $7 per shirt = $525
Cost per Employee
Now that we have the total cost, we can calculate the cost per employee by dividing the total cost by the number of employees:
$525 ÷ 75 employees = $7 per employee
Rounding to the Nearest Cent
Since the manager needs to pass the cost along to the employees, we need to round the cost per employee to the nearest cent:
$7.00 per employee
Conclusion
In this scenario, if the manager orders 75 company shirts and passes the cost along to the employees, each employee would owe $7.00 for the shirt.
Additional Considerations
When calculating the cost per employee, it's essential to consider any additional costs, such as shipping or handling fees, that may be incurred. These costs should be factored into the total cost calculation to ensure accuracy.
Real-World Applications
This scenario is relevant in various real-world situations, such as:
- Corporate events: Companies often order custom shirts for employees attending events, and the cost needs to be split among the attendees.
- Team-building activities: Similar to corporate events, team-building activities may require custom shirts, and the cost needs to be calculated per participant.
- School events: Schools may order custom shirts for students participating in events, and the cost needs to be split among the students.
Mathematical Concepts
This scenario involves various mathematical concepts, including:
- Multiplication: To calculate the total cost of the shirts.
- Division: To determine the cost per employee.
- Rounding: To round the cost per employee to the nearest cent.
Q&A: Calculating the Cost of Company Shirts
In our previous article, we explored how to calculate the cost per employee when ordering company shirts. Here are some frequently asked questions (FAQs) and answers to help you better understand the process.
Q: What if the manager orders 50 shirts? How would the cost per employee be calculated?
A: If the manager orders 50 shirts, which falls under the category of 50-74 shirts, the rate per shirt is $8. To calculate the total cost, multiply the number of shirts by the rate per shirt:
50 shirts x $8 per shirt = $400
Then, divide the total cost by the number of employees (50 in this case):
$400 ÷ 50 employees = $8 per employee
Q: What if the manager wants to order 25 shirts? How would the cost per employee be calculated?
A: If the manager orders 25 shirts, which falls under the category of 25-49 shirts, the rate per shirt is $9. To calculate the total cost, multiply the number of shirts by the rate per shirt:
25 shirts x $9 per shirt = $225
Then, divide the total cost by the number of employees (25 in this case):
$225 ÷ 25 employees = $9 per employee
Q: What if the manager wants to order 1-24 shirts? How would the cost per employee be calculated?
A: If the manager orders 1-24 shirts, the rate per shirt is $10. To calculate the total cost, multiply the number of shirts by the rate per shirt:
20 shirts x $10 per shirt = $200
Then, divide the total cost by the number of employees (20 in this case):
$200 ÷ 20 employees = $10 per employee
Q: What if the manager wants to order 75+ shirts, but the number of employees is not 75? How would the cost per employee be calculated?
A: If the manager orders 75+ shirts, but the number of employees is not 75, the cost per employee would still be $7. However, the total cost would be calculated based on the actual number of shirts ordered.
For example, if the manager orders 80 shirts, the total cost would be:
80 shirts x $7 per shirt = $560
Then, divide the total cost by the number of employees (80 in this case):
$560 ÷ 80 employees = $7 per employee
Q: What if the manager wants to add a shipping or handling fee to the total cost? How would the cost per employee be calculated?
A: If the manager wants to add a shipping or handling fee to the total cost, the fee would be added to the total cost before dividing it by the number of employees.
For example, if the manager orders 75 shirts and adds a $50 shipping fee, the total cost would be:
$525 (cost of shirts) + $50 (shipping fee) = $575
Then, divide the total cost by the number of employees (75 in this case):
$575 ÷ 75 employees = $7.67 per employee
Q: What if the manager wants to round the cost per employee to the nearest cent? How would the cost per employee be calculated?
A: If the manager wants to round the cost per employee to the nearest cent, the cost per employee would be rounded to the nearest cent.
For example, if the cost per employee is $7.67, it would be rounded to $7.67 per employee.
Conclusion
In this Q&A article, we explored various scenarios and answered frequently asked questions about calculating the cost per employee when ordering company shirts. By understanding these scenarios and calculations, managers can make informed decisions when ordering custom shirts for their employees.