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QUESTION:
The
Boston
Food Bank is a nonprofit organization that receives donations of food and distributes this food to appropriate charitable organizations. He used this wait time data and the following assumptions to determine the financial benefit of buying a second shrink-wrap machine.
Additional Info
Many times, large quantities of food need to be shrink-wrapped to secure the items for shipping to the charitable organizations. The VP of Operations at the
Boston
Food Bank recently performed a time study of the time that its warehouse personnel spend waiting for the shrink-wrap machine to become available
Assumptions


Requirement 1. What is the expected net cash inflow per year from purchasing a second shrink-wrap machine (i.e., how much cost could be saved each year by eliminating the wait time)?
Requirement 2. What is the payback period of the second shrink-wrap machine? Round your answer to two decimal places.
Requirement 3. What would the expected net cash inflow per year be if the hourly wage rate used for this analysis was increased by
20 %
to reflect the cost of employee benefits?
Requirement 4. What is the payback period of the second shrink-wrap machine when the increased wage rate is used to calculate the expected net cash inflow per year? Round your answer to two decimal places
Requirement 5. Did the payback period using the increased hourly wage rate increase or decrease as compared to the original payback period using the hourly rate without any benefits included? Explain




ANSWER:

Requirement 1

3500

Explanation

Step 1: Calculate the total wait time per year (in hours)

  • Average wait time per picker per day: 60 minutes = 1 hour
  • Number of pickers: 15
  • Days worked per year: (5 days/week) × (52 weeks - 2 weeks for holidays) = 250 days

Total wait time per year=1hour/day×15pickers×250days=3,750hours/year\text{Total wait time per year} = 1 \, \text{hour/day} \times 15 \, \text{pickers} \times 250 \, \text{days} = 3,750 \, \text{hours/year}

Step 2: Calculate the cost of waiting time per year

  • Hourly wage of warehouse personnel: $10.00/hour

Total cost of waiting per year=3,750hours/year×10$/hour=37,500$/year\text{Total cost of waiting per year} = 3,750 \, \text{hours/year} \times 10 \, \text{\$/hour} = 37,500 \, \text{\$/year}

What is the payback period of the second shrink-wrap machine? Round your answer to two decimal places.
First enter the formula, then calculate the payback period.
Part 3

Initial investment
÷
Expected annual net cash inflow
=
Payback period
$23,000
÷
$37,500
=
0.61
years

the payback period is calculated as:


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