Johnson thermal products used austenitic nickel chromium alloys to manufacture resistance heating wire. The company is considering a new annealing drawing process to reduce costs. Assume that the companies mar is a real 12% per year and the inflation rate is 3% per year. If the new process will cost $3.7 million now, how much must be saved each year to recover the investment in 5 years? a. $2,103,784.b. $603,784.c. $1,103,784.d. $1,603,784.

The correct option is c. $1,103,784.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or cost of the new process = $3.7 million = $3,700,000

P = Annual savings to recover the investment in 5 years = ?

r = interest rate = MARR + Inflation rate = 12% + 3% = 15%, or 0.15

n = number of years = 5

Substitute the values into equation (1)  and solve for P, we have:

$3,700,000 = P * ((1 - (1 / (1 + 0.15))^5) / 0.15)

$3,700,000 = P * 3.3521550980114

P = $3,700,000 / 3.3521550980114

P = $1,103,768

From the options, the closet figure to $1,103,768 is c. $1,103,784. The difference is due the difference I rounding. Therefore, the correct option is c. $1,103,784. That is, the amount that must be saved each year to recover the investment in 5 years is $1,103,784.

The business cycle is the movement of an economy from one condition to another and back again. The business cycle is also known as the economic cycle or trade cycle. This cycle represents the movement of resources from one end and their comeback at the same end after revolving. It can be understood as a businessman invests money in the business in the form of costs and the money comes back in the form of revenue or sales.

Hence the answer is the Economic cycle