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Twenty first century electronics has discovered a theft problem at its warehouse and has decided to hire security guards

Economics

Twenty first century electronics has discovered a theft problem at its warehouse and has decided to hire security guards. The firm wants to hire the optimal number of security guards. the table above shows how the number of security guards affects the number of cellphones stolen per week.

 

Number of security guards Number of phones stolen per week
0 0
1 35
2 25
3 20
4 18
5 17

 

a. If each security guard is paid $500 a week and the cost of a stolen phone is $200, how many security guards should the firm hire?

b. If the cost a stolen phone is $100, what is the most the firm would be willing to pay to hire the first security guard?

c. If each security guard is paid $500 a week and the cost of stolen phone is $300, how many security guards should the firm hire?

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