Questions: You are the payroll manager for a women's apparel company. Your workers are paid per garment sewn on a differential piecework schedule as follows.
Pay Level Garments Produced Rate per Garment
1 1-50 4.60
2 51-100 5.25
3 101-150 5.50
4 Over 150 6.10
Calculate last week's total gross pay (in ) for employee "Goodrich, P." who produced 103 garments.
Transcript text: You are the payroll manager for a women's apparel company. Your workers are paid per garment sewn on a differential piecework schedule as follows.
\begin{tabular}{|c|c|c|}
\hline Pay Level & Garments Produced & Rate per Garment \\
\hline 1 & $1-50$ & $\$ 4.60$ \\
\hline 2 & $51-100$ & $\$ 5.25$ \\
\hline 3 & $101-150$ & $\$ 5.50$ \\
\hline 4 & Over 150 & $\$ 6.10$ \\
\hline
\end{tabular}
Calculate last week's total gross pay (in \$) for employee "Goodrich, P." who produced 103 garments.
$\$ \square$ $\square$
Solution
Solution Steps
Step 1: Determine the Pay for the First 50 Garments
The rate for the first 50 garments is \( \$4.60 \) per garment. Therefore, the pay for the first 50 garments is:
\[
50 \times 4.60 = 230
\]
Step 2: Determine the Pay for the Next 50 Garments
The rate for the next 50 garments (from 51 to 100) is \( \$5.25 \) per garment. Therefore, the pay for these 50 garments is:
\[
50 \times 5.25 = 262.5
\]
Step 3: Determine the Pay for the Remaining 3 Garments
The rate for the next 50 garments (from 101 to 150) is \( \$5.50 \) per garment. Since Goodrich, P. produced 103 garments, the pay for the remaining 3 garments is:
\[
3 \times 5.50 = 16.5
\]
Step 4: Calculate the Total Gross Pay
Summing the pay for all segments, we get:
\[
230 + 262.5 + 16.5 = 509
\]
Final Answer
The total gross pay for Goodrich, P. is:
\[
\boxed{\$509.00}
\]