1 answer

Problem 11-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In...

Question:

Problem 11-11 (Algorithmic)

Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer.

  1. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Round your answers to four decimal places. Do not round intermediate calculations.

    Lq =

    L =

    Wq =  minutes

    W =  minutes

    Pw =
  2. Service goals dictate that an arriving customer should not wait for service more than an average of 6 minutes. Is this goal being met? If not, what action do you recommend?

    No. Firm should increase the mean service rate u for the consultant or hire a second consultant.
  3. If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Round your answer to four decimal places. Do not round intermediate calculations.

    µ =  customers per hour

    Wq =  minutes

    Will the service goal be met?

    Yes

Answers

arrival rate lambda = 2.9 per hour

service rate mu = 60/10 =6 per hour

utilisation rho =lambda /mu = 2.9/6 = 0.4833

Lq = (lambda)^2/ mu ( mu-lambda)

= 2.9x2.9 /6x3.1 =0.4521

Wq = Lq /lambda = 0.4521/2.9 =0.1559 hours =9.358 minutes

L = lambda /mu-lambda = 2.9/3.1 =0.9354

W = 1/mu-lambda = 1/3.1 =0.3225 hours =19.358 min.

(ii)Waiting time os 9.358 minutes hence the goal of 6 min is not met.

new service rate to meet the target of 6 min ( or 1/10 hour)

0.1 = lambda / mu ( mu-lambda)

0.1 = 2.9 /mu ( mu-2.9)

mu^2-2.9*mu-29=0

mu = [2.9+ (2.9)^2 + 4*29]/2

= 7.026

(iii) If W=8 minutes that is mu = 7.5  per customer, the new values

Wq = lambda / mu ( mu-lambda) = 2.9 /7.5(7.5-2.9) = 0.084 hours = 5.04 min

The service goals will be met.

.

Similar Solved Questions

1 answer
How do you evaluate # sin ( arccos (15/17))#?
How do you evaluate # sin ( arccos (15/17))#?...
1 answer
1. What is the ER/PR and HER2 expression profile of tumors that might benefit from PIQRAY...
1. What is the ER/PR and HER2 expression profile of tumors that might benefit from PIQRAY treatment?...
1 answer
In a test of hypothesis shown here, the level of significance for the test is .05....
In a test of hypothesis shown here, the level of significance for the test is .05. The value of the test statistic is Z = 1.8. What is the p-value for this test? A .025 B .05 C .0359 D .0714 We were unable to transcribe this imageH: P = .3 H,:P.3 We were unable to tra...
1 answer
What observed rotation is expected when a 1.36 M solution of (R)-2-butanol is mixed with an...
What observed rotation is expected when a 1.36 M solution of (R)-2-butanol is mixed with an equal volume of a 0.680 M solution of racemic 2-butanol, and the resulting solution is analyzed in a sample container that is 1 dm long? The specific rotation of (R)-2-butanol is –13.9 degrees mL g&ndas...
1 answer
Name CH14 Graded Written Homework PROBLEM 1 On January 1, 2019 the first day of its...
Name CH14 Graded Written Homework PROBLEM 1 On January 1, 2019 the first day of its fiscal year, Monitors Corporation issued $405.000 of nine-year, 6% bonds when the market rate was 5%, with interest payable semiannually, on June 30 and December 31. The company uses the effective interest rate metho...
1 answer
Gitano Products operates a job-order costing system and applies overhead cost to jobs on the basis...
Gitano Products operates a job-order costing system and applies overhead cost to jobs on the basis of direct materials used in production (not on the basis of raw materials purchased). Its predetermined overhead rate was based on a cost formula that estimated $105,600 of manufacturing overhead for a...
1 answer
Records indicate that for some airport during fall months an average of one day in 25...
Records indicate that for some airport during fall months an average of one day in 25 is too foggy for landings. What is the probability that in a period of seven fall days landings are prevented on two or more days?...
1 answer
Selected financial information from Graceworks, Corp Compute the company's days' sales in inventory for Year 2...
selected financial information from Graceworks, Corp Compute the company's days' sales in inventory for Year 2 (Use 305 days a year 2 Nerchandise inventory Cost of goods sold Year 2 Year 1 288,000 270,500 469,409 416,100 230.2 2373 2526 20.3...
1 answer
Paget's- Diagnosis, pathophysiology related to client problem, health promotion and disease prevention, risk factors, expected findings,...
Paget's- Diagnosis, pathophysiology related to client problem, health promotion and disease prevention, risk factors, expected findings, Lab tests, diagnostic procedures, nursing care, medications , client education, safety considerations and complications....
1 answer
I'm having trouble to write a value-returning function, isVowel, that returns the value true if a...
I'm having trouble to write a value-returning function, isVowel, that returns the value true if a given character is a vowel and otherwise returns false. Can I get help with this?...
1 answer
4. Answer the questions below to describe the flow of costs in a Job Order Costing...
4. Answer the questions below to describe the flow of costs in a Job Order Costing system. a) What are the three categories of manufacturing costs? b) What account is increased when manufacturing costs are assigned to a Job? c) What account is increased when transferring the cost of a completed job?...
1 answer
Question 1 2 pts The epithelium of the anal canal is the same as that of...
Question 1 2 pts The epithelium of the anal canal is the same as that of the colon. True False...
1 answer
One reason why a blanket obligation for all employees to obey their employers no matter what...
One reason why a blanket obligation for all employees to obey their employers no matter what is unreasonable is that the choice of obeying someone's command or jeopardizing one's job is fundamentally coercive, and, thus, the consent involved is not fully free. true or false business ethics...
1 answer
Question 1 For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc True False Question...
Question 1 For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc True False Question 2 For ANOVA: the alternative hypothesis is: Mu1 ≠Mu2 ≠Mu3......etc. True False Question 3 Both ANOVA and Chi square tests are always right tail tests True False Question 4 For ANOVA, you only compl...
1 answer
Structure an ESA (straight arrow pattern) based lesson for an elementary level class in which the learners would learn the vocabulary of clothes and be able to use it when describing what people wear and are wearing
Structure an ESA (straight arrow pattern) based lesson for an elementary level class in which the learners would learn the vocabulary of clothes and be able to use it when describing what people wear and are wearing...
1 answer
CONSIDER THE SETUP IN THE WORKSHEET , AND CALCULATE THE MAGNETIC FIELD AT THE LOCATION (5cm, 0) d...
CONSIDER THE SETUP IN THE WORKSHEET , AND CALCULATE THE MAGNETIC FIELD AT THE LOCATION (5cm, 0) due to the segment of current that starts at (0,-2cm) and ends at (0, -1cm). ATTACH A PICTURE SHOWING YOUR WORK. EXPLAIN HOW YOU WOULD CALCULATE THE NET MAGNETIC FIELD AT THE LOCATION (5cm, 0). I ...
1 answer
The answer is C, but how? Object Lens Point A near f ar a. Between the...
The answer is C, but how? Object Lens Point A near f ar a. Between the object and the near focal point. Between the near focal point and point A. c. Between point A and the lens. d. Between lens and the far focal point. rFurther from the lens than the far focal point. 8. Three experiments involving ...
1 answer
Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales data for portable DVD players are as follows:...
Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales data for portable DVD players are as follows: Apr. 1 Inventory 80 units @ $71 10 Sale 55 units 15 Purchase 46 units @ $75 20 Sale 32 units 24 Sale 23 units 30 Purchase 36 units @ $78 The business maintains...
1 answer
Using the provided table and the equation below, determine the heat of formation for KCIO2. 2...
Using the provided table and the equation below, determine the heat of formation for KCIO2. 2 KCIO: (s) 2 KCIO2 (s) + O2 (g) AH° = 296.2 kJ/mol Substance kJ/mol AHi" (kJ/mol) KCIO3 (s) -391.2 1 3 2 4 5 6 с O2 (g) 0 7 8 9 +/- 0 X 100...
1 answer
If #17/3 L# of a gas at room temperature exerts a pressure of #24 kPa# on its container, what pressure will the gas exert if the container's volume changes to #19/4 L#?
If #17/3 L# of a gas at room temperature exerts a pressure of #24 kPa# on its container, what pressure will the gas exert if the container's volume changes to #19/4 L#?...