question archive A government data processing center has been plagued in recent years by complaints from employees of back pain

A government data processing center has been plagued in recent years by complaints from employees of back pain

Subject:EconomicsPrice:2.86 Bought11

A government data processing center has been plagued in recent years by complaints from employees of back pain. Consultants have estimated that upgrading office furniture at a net cost of $425,000 would reduce the incidence and severity of back injuries, allowing the center to avoid medical care that currently costs $68,000 each year. They estimate that the new furniture would also provide yearly benefits of avoided losses in work time and employee comfort worth $18,000. The furniture would have a useful life of five years, after which it would have a scrap value equal to 10 percent of its initial net cost. The consultants made their estimates of avoided costs assuming that they would be treated as occurring at the beginning of each year.

In its investment decisions, the center uses a nominal discount rate of 9 percent and an assumed general inflation rate of 3 percent. It expects the inflation rate for medical care will run between 3 and 6 percent but is uncertain as to the exact rate. In other words, it is uncertain as to whether the cost of medical care will in ate at the same rate as other prices or rise 3 percentage points faster. Should the center purchase the new furniture?

 

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We know the following information:

 

Office furnite initial cost = $425,000

Annual cost = $68,000

Annual benefit = $18,000

Life (t) = 5 years

 

Salvage value = 425,000 x 0.1 = 425000

Nominal discount = 9.5%

Initial rate = 3%

 

Now we will use the present worth here (pw)

Present worth Investment = Present worth benefits - Prsent worth costs

 

There are 2 types of benefits:

1 - Avoided medical care cost = $68,000

2 - comfort benefits = $18,000

Total benefits = $68,000 + $18,000 = $86,000 a year

 

The prsent worth of the project = Present worth benefits - Prsent worth costs

= [ 86,000 (Σ5t=1 1/(1.09x1.03)t ] + [ 42500 / (1.0955)(1.035) ]

= $327,363 - $425,000

= -97637<0

 

When the present worth of any project is <0 we should reject it.

 

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