The Traffic Court of King James County operates between the hours of 9AM and 1PM. Each morning, roughly at 9AM, 200 defendants s
how up for trial involving traffic violations, such as speeding, illegal parking and ignoring a stop sign. On Monday, June 10, 2003, a sample of 10 defendants was selected at random by a consultant. For each defendant, the consultant recorded the actual time spend in discussion with the judge and the time paying the fine (not including waiting). Also recorded were the times the defendant arrived and left the court.
Defendant Arrival Departure Time with Judge (minutes) Time Paying Fine (minutes)
1 8.45 9.3 1 5
2 8.45 9.45 1.5 2
3 8.45 12.05 2 3
4 8.5 12:55 1.5 5
5 8.55 10:35 1 2
6 8.55 9:20 1 0
7 9.55 11:35 2 2
8 9.55 10:45 3 0
9 9.55 12:55 1 2
10 9.55 9:20 1.5 3
Required:
a. Estimate the flow time of the process.
b. Estimate the theoretical flow time of the process.
c. What is the flow-time efficiency?
Defendant Arrival Departure Time with Judge (minutes) Time Paying Fine (minutes)
1 8.45 9.3 1 5
2 8.45 9.45 1.5 2
3 8.45 12.05 2 3
4 8.5 12:55 1.5 5
5 8.55 10:35 1 2
6 8.55 9:20 1 0
7 9.55 11:35 2 2
8 9.55 10:45 3 0
9 9.55 12:55 1 2
10 9.55 9:20 1.5 3
Required:
a. Estimate the flow time of the process.
b. Estimate the theoretical flow time of the process.
c. What is the flow-time efficiency?
1 answer:
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Answer:
24.7215
Explanation:
Given;
Discount = 50%
Regular price, p = $8
cost of cake, c = $5
salvage value, s = 50% of $8 = $4
Mean = 20
Standard deviation, σ = 7
Now,
Underage cost, Cu = p - c
= $8 - $5
= $3
Overage cost, Co = c - s
= $5 - $4
= $1
P ≤
P ≤
P ≤ 0.75
The Z value for the probability 0.75 is 0.6745
The optimal stocking level = Mean + ( z × σ )
= 20 + 0.6745 × 7
= 24.7215