Gotham City has 10,000 streetlights. City investigators have determined that at any given time, an average of 1,000 lights are burned out. A street light burns out after an average of 100 days of use. The city has hired Mafia, Inc., to replace burned-out lamps. Mafia, Inc.’s contract states that the company is supposed to replace a burned-out street lamp in an average of 7 days. Do you think that Mafia, Inc. is living up to the contract

11.11

Explanation:

λ=1/100/day

K=10,000

Therefore the expected length of time for replacing a burned-out lamp is equally the expected waiting time in the system which is W.

L= 1,000 (average number of burned-out lamps)

Effective arrival rate:

¯λ=λ(K-L) =1/100(10,000-1,000) = 90/day

Average length of time it takes to replace a burned-out lamp is:

W=L/¯λ= 1,000/90 =11.11

Mafia, Inc. is not living up to the contract since the company is supposed to replace the burned-out street lamp in an average of 7 days.

This means that Mafia, Inc. is NOT living up to the contract (

Explanation:

We can relate this question  to machine repair problem M/M/1.

Using the formula λ*=λ(K-L)

Where λ is average days of usage = 1/100 per day

K is Total sample of streetlights = 10000

L is the average number of burned-out lamps = 1000

The expected length of time for replacing a burned-out lamp is the expected waiting time given by W= L/λ*

 Therefore the effective arrival rate λ*=λ(K-L) =1/100(10000-1000)

= 90/day

Thus, the average length of time it takes to replace a burned-out lamp is

W=L/λ* = 1000/90≈11.11 days

This means that Mafia, Inc. is NOT living up to the contract (contract states that the company is supposed to replace a burned-out street lamp in an average of 7 days).

answer; i believe the answer is (facework);

typically a loft will include modern kitchen and bathrooms, this increases the price tag. lofts also have a good amount of open space, this requires more heating and electricity. lofts are also in older buildings, this means that maintaining the location increases the bill. keep in mind this is without talking about the high state and property taxes.

i hope this you! : )