A small neighborhood comprised of 10 homes has a problem with break-ins and find the local police to be effective. They are considering hiring private security. Each household can calculate their marginal benefit of having a private security guard by the formula MB=100/(1+S) where S is the number of hours of security patrol provided per week. If private security is a public good and the cost is $20 per hour, what is the efficient level of security? Do you expect this to be the equilibrium outcome?

The efficient level of security is 4 hours of security.

The equilibrium may not be sustainable.

Explanation:

In order to calculate the efficient level of security we would Set MB=MC i.e. guard's wage for net benefit maximization.

Hence, 100/(1+S)=20

20*(1+S)=10

1+S=5

S=4

Therefore, 4 hours of security is needed . The efficient level of security is 4 hours of security.

In the followig case Security guards is public good in this case, Public good is non-excludable and non-rivalrous. People cannot be stopped from using it without paying for it. Payment for security guard is voluntary. So, equilibrium may not be sustainable.

im confused need to go into details plz thx

a

explanation: