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 100 items per hour. two workers sharing a computer can together inventory 150 items per hour. three workers sharing a computer can together inventory 200 items per hour. and four or more workers sharing a computer can together inventory fewer than 210 items per hour. computers cost $100 each and you must pay each worker $25 per hour.
a. if you assign one worker per computer, what is the cost of inventorying a single item?
b. what if you assign two workers per computer? what is the cost of inventorying a single item?
c. what if you assign three workers per computer?
d. how many workers per computer should you assign if you wish to minimize the cost of inventorying a single item?