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. A table shows the number of security guards affects the number of radios stolen per week.
number of guards... number of radios stolen per week
0 50
1 30
2 20
3 14
4 8
5 6

a). if each guard is paid 200 each week, and the cost of a stolen radio is $25, how many security guards should the firm hire?
b).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 security guards should the firm hire?