Liberty Insurance Company processes applications forms. The average output in a week is 600 claims. Currently the staff includes six full-time employees who work 40 hours per week and earn $18.00 per hour, including fringe benefits. Management has invested in computer technology, which has a weekly cost of $1,200. Material and energy are not used in significant amounts. What is the productivity of the application process? (Show all calculations.)

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Answer:

Output = 600 claims

Input = (18*6*40) + 1200 = $5520

Cost per application = $9.2 is the cost per claim

Productivity ratio = 600 / 5520 = 0.1086

Explanation:

The productivity of the application process = total weekly cost incurred / weekly application output

Here we have average output of 600 application per week

And cost we have,

Total cost = weekly staff cost + weekly cost on computer technology

Weekly staff cost = 40 hours * 6 staff * $18 per hour rate = $ 4,320

Weekly cost on computer technology = $ 1200

Total cost = $4320 + $ 1200 = $5,520

Now productivity = $ 5,520 / 600 application = $ 9.2

Or we can say that it takes $ 9.2 to process one application

(b) Here we have average output of 650 application per week

And cost we have,

Total cost = weekly staff cost + weekly cost on computer technology

Weekly staff cost = 40 hours * 5 staff * $18 per hour rate = $ 3,600 ( assumed that one staff is reduced as one application evaluator is retiring and not replaced)

weekly cost on computer technology = $ 1800

Total cost = $3,600 + $ 1800 = $5,400

Now productivity = $ 5,400 / 650 application = $ 8.31

Or we can say that it takes $ 8.31 to process one application

Percentage change in productivity ={ ($8.31 – $ 9.2 )/ $ 8.31 } * 100 = - 10.71%

Means that the cost has reduced by 10.71 % by the new process

Based on the costs of processing the claims and the average output, the productivity of the application process is 0.1087 claims per dollar.

What is the productivity rate?

This can be found as:

= Number of claims / Cost of labor and cost of computer technology

Solving gives:

= 600 / ( (6 employees x 40 hours per week x 18 per hour) + 1,200)

= 600 / 5,520

= 0.1087 claims per dollar

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