Posted by **Ed** on Sunday, June 3, 2007 at 6:05pm.

21st 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 guards. The follwoign table shows how the number of security guards affects the number of radios stolen each week:

# of guards # of radios stolen per wk

0 50

1 30

2 20

3 14

4 8

5 6

a) If each security guards is paid

$200 a week and the cost of a

stolen radio is $25, how many

security guards shoudl the firm

hire?

b) If the cost of a stolen radio is

$25, what is the most the firm

would be willing to pay to hire the

first security guard?

c) If each security guard is paid $200

a week, and the cost of a stolen

radio is $50, how many guards

should the firm hire?

Make a third column, called Cost. Cost will be the cost of the security guard and the value of the radios stolen. You want to minimize this.

G Stolen Cost

0 50 1250

1 30 950

2 20 900 and so on

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