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.

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: \[ 230 + 262.5 + 16.5 = 509 \]