Explanation Given Information: The provided differential piecework schedule for per garment sewn as follows. Pay Level Garments Produced Rate Per Garment 1 1-50 $3.60 2 51-100 $4.25 3 101-150 $4.50 4 Over 150 $5.10 Formula used: To calculate gross pay by differential piecework: Step 1. Calculate the pay at each level by multiplying the output units and the rate per unit for that level. Level pay = Output quantity × Rate per unit Step 2. Calculate the total gross pay by adding the pays from each level. Calculation: To find total gross pay for Fox whose total number of garments produced is 174, calculate his pay by the pay schedule at level 1 for 50 garments, level 2 for 50 garments, level 3 for 50 garments and level 4 for 24 garments as 174 = 50 + 50 + 50 + 24 and then add the totals. Now to calculate his level 1 pay, consider number of garments produced and rate per garment, 50 and $3.60 Apply the formula, Level pay = Output quantity × Rate per unit : Level 1 pay = 5 0 × 3.60 As, 3 .60 × 50 _ 180.00 _ _ So, Level 1 pay = $180 .00 . Now to calculate his level 2 pay, consider number of garments produced and rate per garment, 50 and $4.25 Apply the formula, Level pay = Output quantity × Rate per unit : Level 2 pay = 5 0 × 4.25 As, 4.25 × 50 _ 212.50 _ _ So, Level 2 pay = $212 .50 . Now to calculate his level 3 pay, consider number of garments produced and rate per garment, 50 and $4.50 Apply the formula, Level pay = Output quantity × Rate per unit : Level 3 pay = 50 × 4

Contemporary Mathematics for Business & Consumers

8th Edition

ISBN: 9781305585447

Author: Robert Brechner, Geroge Bergeman

Publisher: Cengage Learning

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Question

Chapter 9.I, Problem 20RE

To determine

To calculate: The total gross pay of last week for Fox, B. who is a worker at Euro Couture, a manufacturer of women’s apparel and he produced 174 garments last week. He is paid on differential piecework schedule for per garment sewn as follows:

Pay Level Garments Produced Rate Per Garment

1 1-50 $3.60

2 51-100 $4.25

3 101-150 $4.50

4 Over 150 $5.10

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Chapter 9 Solutions

Contemporary Mathematics for Business & Consumers

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Pay Level	Garments Produced	Rate Per Garment
1	1-50	$3.60
2	51-100	$4.25
3	101-150	$4.50
4	Over 150	$5.10

Solution Summary: The author explains how to calculate the total gross pay for Fox, B., a worker at Euro Couture, who produced 174 garments last week.

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Chapter 9 Solutions