Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
Eddie should recommend the purchase of the robot.
Explanation:
This can be determined using the following 3 steps:
Step 1: Calculation of the present worth (PW) of the cost of one employee
This can be calculated using the formula for calculating the the present value (PV) of a growing annuity as follows:
PWE = (P / (r - g)) * (1 - ((1 + g) / (1 + r))^n) .................... (1)
Where;
PWE = Present worth of the cost of one employee = ?
P = first or this year annual cost = $58,240
r = interest rate = 15%, or 0.15
g = annual growth rate of cost of the one employee = 6%, or 0.06
n = number of years = 10
Substituting the values into equation (1), we have:
PWE = ($58,240 / (0.15 - 0.06)) * (1 - ((1 + 0.06) / (1 + 0.15))^10) = $360,654.33
Step 2: Calculation of the present worth (PW) of the cost of the robot
This can be calculated using the following formula:
PWR = C + ((P / (r - g)) * (1 - ((1 + g) / (1 + r))^n)) - (SV / (1 + r)^n) .................... (2)
Where;
PWR = Present worth of the cost of the robot = ?
C = cost of installing the robot = $75,000
P = first year cost of operating the robot = $16,500
r = interest rate = 15%, or 0.15
g = annual growth rate of cost of operating the robot = Annual increase in cost / P = $1500 / $16,500 = 0.0909090909090909
n = number of years = 10
SV = Salvage value = $5,000
Substituting the values into equation (2), we have:
PWR = $75,000 + (($16,500 / (0.15 - 0.0909090909090909)) * (1 - ((1 + 0.0909090909090909) / (1 + 0.15))^10)) - (SV / (1 + 0.15)^10) = $188,227.75
Step 3: Recommendation
PWE = Present worth of the cost of one employee = $360,654.33
PWR = Present worth of the cost of the robot = $188,227.75
Since present worth of the cost of the robot of $188,227.75 is lower than the present worth of the cost of one employee of $360,654.33, Eddie should recommend the purchase of the robot.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.