Question

tutorial software tester autumn wengel is paid by the day either on a piecework basis or at an hourly rate of an 8 - hour day, whichever is greater. she is paid $1.80 per problem tested or $12.10 per hour. autumns production for a week is shown below

employee	production (problems tested)	hourly rate	gross earnings
wengel, a.	72	70	67	69	64	$12.10
daily wages						xxxxxx

what are ms. wengels gross earnings?
$ (type an integer or a decimal. round to the nearest cent as needed.)

Explanation:

Step1: Calculate daily earnings from piecework

For each day, calculate earnings as \( \text{Problems Tested} \times \$1.80 \)

• Monday: \( 72 \times 1.80 = 129.60 \)
• Tuesday: \( 70 \times 1.80 = 126.00 \)
• Wednesday: \( 67 \times 1.80 = 120.60 \)
• Thursday: \( 69 \times 1.80 = 124.20 \)
• Friday: \( 64 \times 1.80 = 115.20 \)

Step2: Calculate daily earnings from hourly rate

Daily hourly earnings: \( 8 \times 12.10 = 96.80 \)

Step3: Choose higher earnings per day

• Monday: max(129.60, 96.80) = 129.60
• Tuesday: max(126.00, 96.80) = 126.00
• Wednesday: max(120.60, 96.80) = 120.60
• Thursday: max(124.20, 96.80) = 124.20
• Friday: max(115.20, 96.80) = 115.20

Step4: Sum daily earnings

Total = \( 129.60 + 126.00 + 120.60 + 124.20 + 115.20 \)
= \( 615.60 \)

Answer:

\( \$615.60 \)