A factory that employs 1000 assembly-line workers pays each of these workers $6 per hour for the first 35 hours worked

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Wed Dec 30, 2020 6:48 am

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A factory that employs 1,000 assembly-line workers pays each of these workers $6 per hour for the first 35 hours worked during a week and 1.25 times that rate for hours worked in excess of 35. What was the total payroll for the assembly line workers for a week in which 60 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 50 hours?

A. $150,500
B. $155,000
C. $ 162,500
D. $168,000
E. $178,500

OA E

Solution:

We have 600 workers who worked 20 hours, 300 workers who worked 40 hours, and the remaining 100 workers who worked 50 hours.

For the 600 workers who worked 20 hours, payroll was 600 x (20 x 6) = $72,000.

For the 300 workers who worked 40 hours, payroll was 300 x (35 x 6) + 300 x (5 x 7.5) = $74,250.

For the 100 workers who worked 50 hours, payroll was 100 x (35 x 6) + 100 x (15 x 7.5) = $32,250.

Therefore, the total payroll for all1000 workers is 72,000 + 74,250 + 32,250 = $178,500.

Answer: E