Question

Of course, these engineering controls will cost $33,000 dollars. This is compared to a continuing hearing conservation program to include annual audiograms, or hearing tests, annual training, and providing noise protection for the welding department which is estimated to cost $9,000 per year. This amount would be saved each year if the engineering controls are installed. If the company takes out a loan for $33,000 at 5% interest, what will the payback period be for the loan? Please consult your unit lesson for the necessary formulas. What would be your recommendation to the employer with respect to the options available? Please show your work. Make sure you justify your reasoning and that you consider the hierarchy of controls in your discussion.

Answer 1

Step-by-step explanation:

As the loan amount is gradually written off by the cost saved , the interest saved is also considered

P= ( 1+ R)^n

F = 9,000

R = 5% , 0.05

Loan amount - $33,000

N=Number of years

Year 1 = 9000( 1+0.05)^-1= 8,571.43

Year 2 =9000(1+0.05)^-2 = 8,163.27= 16.734.70

Year 3= 9000(1+0.05)^-3= 7,774.54 = 24,509.24

Year 4 = 9,000(1+0.05)^-4= 7,404.32= 31,913.56

Year 5 = 9,000 (1+0.05)^-5= 7,051.74= 38,965.3

Payback period is 5 years.

The company has the option of $33,000 for a control that will be repaid over five years period or a continuing hearing conservation program that would have paid ($9,000*5) $45,000 for the five years.

Comparing the two option , The Engineering control is a cheaper option and even with benefits that will outlast the continuing hearing program.