Imagine you have some workers and some handheld computers that you can use to take inventory at a warehouse. There are diminishing returns to taking inventory. If one worker uses one computer, he can inventory 150 items per hour. Two workers sharing a computer can together inventory 200 items per hour. Three workers sharing a computer can together inventory 250 items per hour. And four or more workers sharing a computer can together inventory fewer than 260 items per hour. Computers cost $100 each and you must pay each worker $25 per hour.
Instructions: In parts a and b, round your answers to two decimal places. In part c, enter your answer as a whole number.
a. If you assign one worker per computer, what is the cost of inventorying a single item?
b. What is the cost if you assign two workers per computer?
What if you assign three?
c. How many workers per computer should you assign if you wish to minimize the cost of inventorying a single item?
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