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## To calculate the most you should pay for the machine, you need to consider the present value of the future savings generated by the machine over a period of 3 years, taking into account the interest rate of 8%.

The formula to calculate the present value is:

PV = CF / (1 + r)^n

Where:

PV = Present Value (maximum amount you should pay for the machine)

CF = Cash flow (savings per year)

r = Interest rate per period (in this case, 8% or 0.08)

n = Number of periods (in this case, 3 years)

Plugging in the values:

PV = 1000 / (1 + 0.08)^3

Simplifying the equation:

PV = 1000 / (1.08)^3

PV = 1000 / 1.2597

PV â‰ˆ $794.35

Therefore, the most you should pay for the machine is approximately $794.35 to justify the given savings of $1000 per year for 3 years with an interest rate of 8%.