Imagine you have some workers and some handheld computers

Imagine you have some workers and some handheld computers

Imagine you have some workers and some hand-held 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 can together inventory 150 items per hour. Three workers can together inventory 160 items per hour. And four or more workers can together inventory fewer than 160 items per hour. Computers cost $100 each and you must pay each worker $25 per hour
a)what is your fixed factor of production for taking inventory?b)what is your variable factor of production for taking inventory?

c)If you assign one worker per computer, what is the variable cost of inventorying a single item with one worker? Show your work.

(d) If you assign two workers per computer, what is the variable cost of inventorying a single item? Show your work.

(e) If you assign three workers per computer, what is the variable cost of inventorying a single item? Show your work.

(f) How many workers per computer should you assign if you wish to minimize the cost of inventorying a single item?