To determine the cost each employee owes for the company shirts, let's break down the given problem step by step and calculate the costs involved.
1. Determine the total number of required shirts:
The manager needs shirts for 85 employees.
2. Apply the cost rates based on the number of shirts ordered:
- First 19 shirts:
These cost [tex]$10 each.
Total cost for these shirts = \( 19 \times 10 = 190 \) dollars.
- Next 30 shirts:
These cost $[/tex]8 each.
Total cost for these shirts = [tex]\( 30 \times 8 = 240 \)[/tex] dollars.
- Shirts over 43:
Total shirts required = 85
Shirts already considered (first 19 + next 30) = 19 + 30 = 49 shirts
Therefore, the number of shirts over 43 is [tex]\( 85 - 49 = 42 \)[/tex] shirts
Each of these shirts costs [tex]$5.
Total cost for these shirts = \( 42 \times 5 = 180 \) dollars
3. Calculate the overall total cost:
Add up the costs from each tier:
\[
\text{Total cost = 190 + 240 + 180 = 610} \text{ dollars}
\]
4. Calculate the cost per employee:
Divide the total cost by the number of employees to find the amount each employee needs to pay:
\[
\text{Cost per employee = } \frac{610}{85} = 7.176470588235294 \text{ dollars}
\]
5. Round to the nearest cent:
The final amount each employee needs to pay, rounded to the nearest cent, is:
\[
7.18 \text{ dollars}
\]
Thus, each employee would owe $[/tex]7.18 for their shirt, which matches one of the given options.
