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Imagine you have some workers and some handheld computers that you can use to ta

ID: 1189822 • Letter: I

Question

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 $125 each and you must pay each worker $30 per hour.

a- What if you assign two workers per computer? What is the cost of inventorying a single item

b-What if you assign three workers per computer?

Explanation / Answer

a). if we assign two workers per computer, it willhelp them to inventory 200 items per hour.

Costs for inventory of 200 items by two workers = computer cost + per worker cost per hour *( number of workers)

= 125 + 30*2 = 185

Total cost for 200 items = 185

cost for 1 item = $185/200 = $0.925

b).

f we assign three workers per computer, it willhelp them to inventory 250 items per hour.

Costs for inventory of 250 items by three workers = computer cost + per worker cost per hour *( number of workers)

= 125 + 30*3 = $215

Total cost for 250 items = 215

cost for 1 item = $215/250 = $0.86

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