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Vesnalui [34]
3 years ago
12

Gotham City has 10,000 streetlights. City investigators have determined that at any given time, an average of 1,000 lights are b

urned 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
Business
2 answers:
nadezda [96]3 years ago
6 0

Answer:

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.

fomenos3 years ago
3 0

Answer:

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).

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IrinaVladis [17]

Complete question:

Consider the game of chicken. Two players drive their cars down the center of the road directly at each other. Each player chooses SWERVE or STAY. Staying wins you the admiration of your peers (a big payoff) only if the other player swerves. Swerving loses face if the other player stays. However, clearly, the worst output is for both players to stay! Specifically, consider the following payouts. Player two Stay swervePlayer one stay -6 -6 2 -2 swerve -2 2 1 1

a) Does either player have a dominant strategy?

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c) If both player A and Player B use this probability mix, what is the chance that  they crash?

Explanation:

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b. Player B must be shown to be indifferent among swerving and staying if it implements a policy (stay= 1⁄4, swerving= 5/4).

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3 years ago
A total of 6,850 kilograms of a raw material was purchased at a total cost of $21,920. The materials price variance was $1,370 f
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Answer:

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Explanation:

Calculation for the standard price per kilogram for the raw material

Using this formula

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