An electronic device consists of three components. The three components are in series so that the failure of one component causes the failure of the device.

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An electronic device consists of three components. The three components are in series so that the failure of one component causes the failure of the device. The reliability (probability of no failure) of the device can be improved by installing one or two standby units in each component. The following table charts the reliability, r, and the cost, c. The total capital available for the construction of the device is $10,000. How should the device be constructed? (Hint: The objective is to maximize the reliability, , of the device. This means that the decomposition of the objective function is multiplicative rather than additive.)

No. ofparallelComponent 1 Component 2 Component 3
units ($) ($) ($)
1 .6 1000 .7 3000 .5 2000
2 .8 2000 .8 5000 .7 4000
3 .9 3000 .9 6000 .9 5000

If an activity whose normal duration is 15 days can be shortened to 10 days for an added cost of $2,000, the crash cost per period is.

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If an activity whose normal duration is 15 days can be shortened to 10
days for an added cost of $2,000, the crash cost per period is
A) $400
B) $2,000
C) $10,000
D) $20,000
E) $30,000

Determine the average amount of time that a guest spends checking in. How would this change under each of the stated options?

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Zimmerman’s Bank is the only bank in the small town of St. Thomas. On a typical Friday, an average of 10customers per hour arrive at the bank to transact business. There is one teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times may be described by the exponential distribution. A single line would be used, and the customer at the front of the line would go to the first available bank teller. If a single teller is used, find:
a) The average time in the line.
b) The average number in the line.
c) The average time in the system.
d) The average number in the system.
e) The probability that the bank is empty.
f) Zimmerman is considering adding a second teller (who would work at the same rate as the first) to reduce the waiting time for customers. She assumes that this will cut the waiting time in half. If a second teller is added, find the new answers to parts (a) to (e).

D.22 The registration area has just opened at a large convention of building contractors in Las Vegas. There are 200 people arriving per hour (Poisson distributed), and the cost of their waiting time in the queue is valued at $100 per person per hour. The Las Vegas Convention Bureau provides servers to register guests at a fee of $15 per person per hour. It takes about one minute to register an attendee (exponentially distributed). A single waiting line, with multiple serves, is set up.
a.) What is the minimum number of servers for this system?
b.) What is the optimal number of servers for this system?
c.) What is the cost for the system per hour, at the optimum number of servers?
d.) What is the server utilization rate with the minimum number of servers?

D.23 Refer to Problem D.22. A new registration manager, LisaHouts, is hired who initiates a program to entertain the people in a line with a juggler whom she pays for $15/hour. This reduces the waiting costs to $50 per hour.
a.) What is the optimal number of servers?
b.) What is the cost for the system, per hour, at the optimal service level?

The Winter Park Hotel
Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during peak check-in time of 3:00
P.M. to 5:00 P.M. Observation of arrivals during this period shows that an average of 90 guests arrive each hour (although there is no upward limit on the number that could arrive at any given time). It takes an average of 3 minutes for the front-desk clerk to register each guest.

Ms. Shader is considering three plans for improving guest service by reducing the length of time that guests spend waiting in line. The first proposal would designate one employee as a quick-service clerk for guests registering under corporate accounts, a market segment that fills about 30% of all occupied rooms. Because corporate guests are preregistered, their registration takes just 2 minutes. With these guests separated from the rest of the clientele, the average time for registering a typical guest would climb to 3.4 minutes. Under this plan, noncorporate
guests would choose any of the remaining four lines.

The second plan is to implement a single-line system. All guests could form a single waiting line to be served by whichever of five clerks became available. This option would require sufficient lobby space for what could be a substantial queue.

The use of an automatic teller machine (ATM) for check-ins is the basis of the third proposal. This ATM would provide about the same service rate as would a clerk. Because initial use of this technology might be minimal, Shader estimates that 20% of customers, primarily
frequent guests, would be willing to use the machines. (This might be a conservative estimate if guests perceive direct benefits from using the ATM, as bank customers do. Citibank reports that
some 95% of its Manhattan customers use its ATMs.) Ms. Shaderwould set up a single queue for customers who prefer human check-in clerks. This line would be served by the five clerks, although Shaderis hopeful that theATM machine will allow a reduction to four.
Discussion Questions
1. Determine the average amount of time that a guest spends checking in. How would this change under each of the stated options?
2. Which option do you recommend?

The Northwest Flower Company owns a greenhouse, which furnishes roses and carnations to florists in Oregon, Washington, and Idaho. The greenhouse can grow any combination of the two flowers.

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The Northwest Flower Company owns a greenhouse, which furnishes roses and carnations to florists in
Oregon, Washington, and Idaho. The greenhouse can grow any combination of the two flowers. They sell the flowers in “bunches” with 25 blooms to a bunch. They have 50,000 square feet available for planting this year. Each bunch of roses takes about 5 square feet and each bunch of carnations about 3 square feet. Special fertilizer is required for flowers: roses need 5 pounds and carnations 2 pounds. The availability of the fertilizer is limited to 15,000 pounds. Management believes that it can sell at least 500 bunches of roses but not more than 750 bunches. Profit contributions are $6 per bunch of roses and $8 per bunch of carnations. Formulate this problem as a linear programming problem.

Construct a p-chart that plots the percentage of patients unsatisfied with their meals.

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Detroit Central Hospital is trying to improve its image by
providing a positive experience for its patients and their relatives. Part
of the “image” program involves providing tasty, inviting patient meals
that are also healthful. A questionnaire accompanies each meal served,
asking the patient, among other things, whether he or she is satisfied or
unsatisfied with the meal. A 100-patient sample of the survey results
over the past 7 days yielded the following data:
Day No. of Unsatisfied Patients Sample Size
1 24 100
2 22 100
3 8 100
4 15 100
5 10 100
6 26 100
7 17 100
Construct a p-chart that plots the percentage of patients unsatisfied with
their meals. Set the control limits to include 99.73% of the random variation
in meal satisfaction. Comment on your results.

The probability that a machine will have to wait for an adjustment.

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Two operators handle adjustments for a group of 10machines. Adjustment time is exponentially distributed and has a mean of 14 minutes per machine. The machines operate for an average of 86 minutes between adjustments. While running, each machine can turn out 50 pieces per hour. Find:
a. The probability that a machine will have to wait for an adjustment.
b. The average number of machines waiting for adjustment.
c. The average number of machines being serviced.
d. The expected hourly output of each machine, taking adjustments into account.
e. Machine downtime represents a cost of $70 per hour; operator cost (including salary and fringe benefits) is $15 per hour. What is the optimum number of operators?

How many calls the Call center will process during the day?

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The Company CO has a call center to sell its products and provide technical support to customers. The
company wants to evaluate the operations of the call center. Particularly wants to evaluate if the
center is complying with the policy of the company that customers should not wait more than 10
minutes to be served by sales person or a support person. The call center works from 7am to
9pm Monday to Friday.

Customers call the center at a Poisson rate of 20 per hour. An automated answering server first
serves the customers. This server has the capacity to handle 10 customers at the same time.
The server process the calls in strict FIFO basis and the time to process a call follows a
Triangular(2min,3min, 9min) Distribution. This server directs the calls to either the sales
representatives or the technical support representatives. Approximately 30% of the customers
call to purchase a product (Sales) and 70% calls with a technical problem (Technical Support).

There are one queue of calls for the Sales representatives and one queue for the Technical
Support representatives. There are 2 sales representatives and 4 technical support
representatives all the time. The processing time of the sales representatives follows a Triangular
(5min, 10min, 15min) Distribution. The processing time of the technical support representatives
follows an exponential distribution with a mean of 9min.

The center has one supervisor that monitors some calls for quality purposes. The system selects
randomly 10% of the calls to be observed by the supervision. The supervisor do not changes the
processing time of the calls, but if a call is selected and the supervisor is busy with other call, the
last call selected has to wait until the supervisor becomes available.

Instructions
Build a simulation model of this system in SIMIO and run the simulation for one day of operation. Use the Stream Number (17) for all statistical distributions.

Answer the following questions based on your results
1) How many calls the Call center will process during the day?
2) What are the utilization percentages and waiting times of calls for the sales
representatives and for the technical support representatives?
3) What is the utilization percentage of the supervisor?
4) In one or two sentences, what would be your recommendation to the Call Center
management based on the results of the simulation?

We concur that the fitness of a mean is how accurate or true it is given set parameters of data set.

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We concur that the fitness of a mean is how accurate or true it is given set parameters of data set. We could then use tools like standard deviation to see how skewed the data set is from the mean line. For example a data set with high deviance would have a mean that does not necessarily depict the “halfway” point in the data. Extrapolating this data by using the sum of squares method would further reveal any discretionary variances in relationship to the mean?

Please choose one of the probability constructs below. Then, identify a peer-reviewed journal article that highlights the construct. Compose a post in which you summarize and evaluate the construct’s use in the research study.

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Please choose one of the probability constructs below. Then, identify a peer-reviewed journal article that highlights the construct. Compose a post in which you summarize and evaluate the construct’s use in the research study.

Probability constructs:

a. Bayes’ Rule

b. Receiver operating characteristic (ROC) curve

c. Poisson distribution

d. Binomial distribution

e. Probability-mass function

f. Goodness-of-fit test

g. Permutations and combinations

h. Standard normal distribution

i. The empirical rule
Please choose one of the probability constructs below. Then, identify a peer-reviewed journal article that highlights the construct. Compose a post in which you summarize and evaluate the construct’s use in the research study.

Probability constructs:

a. Bayes’ Rule

b. Receiver operating characteristic (ROC) curve

c. Poisson distribution

d. Binomial distribution

e. Probability-mass function

f. Goodness-of-fit test

g. Permutations and combinations

h. Standard normal distribution

i. The empirical rule

What information is contained in a payoff table?

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What information is contained in a payoff table?

Find Johns expected income and utility. Use this to deduce the risk premium that John is willing to pay to avoid salary uncertainty in his current job.

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John works in accompany which is restructuring. He faces three possibilities with probability 1/2, he will be promoted to a better playing job and earn 81.With probability 1/4,he will keep his present job, which pays 36.And with probability 1/4.he will be fired,and get unemployment benefits of 16.

john’s utility functions is U(x)=2x (u(x)=two times the square root ofx). find Johns expected income and utility. Use this to deduce the risk premium that John is willing to pay to avoid salary uncertainty in his current job.

Do you agree with the statement? Discuss the changing role of management accountants with reference to how it impacts on the current business environment.

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“Traditionally the role of management accountants has predominantly been viewed as ‘bean counters’ by providing numerical information to decision-makers. However, over the past two decades, commentators and practitioners alike have reported that management accountants are now becoming active players in the business decision-making process.”

Do you agree with the statement? Discuss the changing role of management accountants with reference to how it impacts on the current business environment.

In what situations might you use probability as a manager to approach business-related problems? What are the advantages to using probability concepts in business decisions? Are there any disadvantages or possible pitfalls to avoid in using probability in business?

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In what situations might you use probability as a manager to approach business-related problems? What are the advantages to using probability concepts in business decisions? Are there any disadvantages or possible pitfalls to avoid in using probability in business?

Tucson Machinery, Ins., manufactures numerically controlled machines

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Tucson Machinery, Ins., manufactures numerically controlled machines, which sell for an average price of $0.5 million each. Sales for these NCM’s for the past two years were as follows:
Quarter Quantity
2008
I 12
II 18
III 26
IV 16
Quarter Quantity
2009
I 16
II 24
III 28
IV 18
a. Do a linear regression for the data.
b. Find the trend and seasonal factors.
c. Forecast sales for 2010.

Example of a situation where a decision tree analysis could be used and what information is need to solve it

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Example of a situation where a decision tree analysis could be used and what information is need to solve it

List and describe the purpose of the histogram tool.

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List and describe the purpose of the histogram tool.

You are a manager with Appetizer. The company owns a chain of restaurants in the United States.

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You are a manager with Appetizer. The company owns a chain of restaurants in the United States. Appetizer is looking for an opportunity to expand. As part of a market analysis, you have to send a two-page handout in a Word document to the COO of the company, exploring the relationship between the expenditure by people on purchasing food from stores and their expenditure in restaurants. Using the data provided in the Doc Sharing area:

Calculate the least squares regression line taking food store expenditure as the independent variable and restaurant expenditure as the dependent variable.
Calculate a point estimate and a confidence interval for the restaurant expenditure by people in a state whose food store expenditure is $5 billion.
Support your handout with a two-page summary, recommending in which areas Appetizer should open its new restaurant. Create your summary in a Word document. You may use bullet points in your summary.

You are working with a company selling building material to builders. You predict the quarterly purchases of customers based on their current purchases by using a linear regression model.

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You are working with a company selling building material to builders. You predict the quarterly purchases of customers based on their current purchases by using a linear regression model. These predictions, however, are not very accurate. Discuss at least three reasons why these predictions may not be accurate and offer three ways in which you can increase the likelihood of accurately predicting your customers’ purchases.

Techware Incorporated is considering the introduction of two new software products to the market.

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Techware Incorporated is considering the introduction
of two new software products to the market. In particular,
the company has four options regarding these two
proposed products: introduce neither product, introduce
product 1 only, introduce product 2 only, or
introduce both products. Research and development
costs for products 1 and 2 are $180,000 and $150,000,
respectively. Note that the first option entails no costs
because research and development efforts have not yet
begun. The success of these software products
depends on the trend of the national economy in the
coming year and on the consumers’ reaction to these
products. The company’s revenues earned by introducing
product 1 only, product 2 only, or both products in
various states of the national economy are given in the file P07_38.xlsx. The probabilities of observing a
strong, fair, and weak trend in the national economy in
the coming year are 0.30, 0.50, and 0.20, respectively.
a. Formulate a payoff table that specifies Techware’s
net revenue (in dollars) for each possible decision
and each outcome with respect to the trend in the
national economy.
b. Use PrecisionTree to identify the strategy that maximizes
Techware’s expected net revenue from the
given marketing opportunities.
c. Perform a sensitivity analysis on the optimal decision
and summarize your findings. In response to
which model inputs is the expected net revenue
value most sensitive?

Here is the file information
Techware Data
Trend in National Economy
Strong Fair Weak
Decision Introduce neither product $0 $0 $0
Introduce Product 1 only $500,000 $260,000 $120,000
Introduce Product 2 only $420,000 $230,000 $110,000
Introduce both products $820,000 $390,000 $200,000

You are a quality analyst with John and Sons Company. Your company manufactures fax machines, copiers, and printers that use plain paper.

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You are a quality analyst with John and Sons Company. Your company manufactures fax machines, copiers, and printers that use plain paper. The CEO of the company wants the machines to handle 99.5 percent of all the paper that is used in them without the paper getting jammed. The CEO asks you to determine the thickness of paper that the machines must be able to handle to achieve this target.

A company will be able to obtain a quantity discount on component parts for its three products, X1, X2 and X3 if it produces beyond certain limits. To get the X1 discount it must produce more than 50 X1’s. It must produce more than 60 X2’s for the X2 discount and 70 X3’s for the X3 discount. Which of the following pair of constraints enforces the quantity discount relationship on X3?

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A company will be able to obtain a quantity discount on component parts for its three products, X1, X2 and X3 if it produces beyond certain limits. To get the X1 discount it must produce more than 50 X1’s. It must produce more than 60 X2’s for the X2 discount and 70 X3’s for the X3 discount. Which of the following pair of constraints enforces the quantity discount relationship on X3?
a. X31  M3Y3 , X32  50Y3
b. X31  M3Y3 , X31  50
c. X32  (1/50)X31 , X31  50
d. X32  M3Y3 , X31  50Y3

The following trend projection is used to predict quarterly demand: Y = 250 – 2.5t, where t = 1 in the first quarter of 2004. Seasonal (quarterly) relatives are Quarter 1 = 1.5; Quarter 2 = 0.8; Quarter 3 = 1.1; and Quarter 4 = 0.6. What is the seasonally adjusted forecast for the four quarters of 2006?

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The following trend projection is used to predict quarterly demand: Y = 250 – 2.5t, where t = 1 in the first quarter of 2004. Seasonal (quarterly) relatives are Quarter 1 = 1.5; Quarter 2 = 0.8; Quarter 3 = 1.1; and Quarter 4 = 0.6. What is the seasonally adjusted forecast for the four quarters of 2006?

A firm has modeled its experience with industrial accidents and found that the number of accidents per year (Y) is related to the number of employees (X) by the regression equation Y = 3.3 + 0.049*X. R-Square is 0.68. The regression is based on 20 annual observations. The firm intends to employ 450 workers next year.

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A firm has modeled its experience with industrial accidents and found that the number of accidents per year (Y) is related to the number of employees (X) by the regression equation Y = 3.3 + 0.049*X. R-Square is 0.68. The regression is based on 20 annual observations. The firm intends to employ 450 workers next year. How many accidents do you project? How much confidence do you have in that forecast?

t = -3.15 describes the difference between women and men for what variable in this study? Is this value significant? Provide a rationale for your answer. What are the two groups whose results are reflected by the t ratios in table 2 and 3?

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Exercise 29

Question 1. Were the groups in this study independent or dependent? Provide a rationale for your answer.
Question 2. t = -3.15 describes the difference between women and men for what variable in this study? Is this value significant? Provide a rationale for your answer.
Question 3. Is t = -1.99 significant? Provide a rationale for your answer. Discuss the meaning of the result in this study.
Question 4. Examine the t ratios in table VI. Which t ratio indicates the largest difference between the males and females post MI in this study? Is this t ratio significant? Provide a rationale for your answer.

Exercise 31

Question 1. What are the two groups whose results are reflected by the t ratios in table 2 and 3?
Question 2. Which t ratio in table 2 represents the greatest relative or standardised difference between the pretest and 3 months outcomes? Is this t ratio statistically significant? Provide a rationale for your answer.
Question 3. Which t ratio listed in table 3 represents the smallest relative difference between the pretest and 3 months? Is this t ratio statistically significant? What does this result mean?
Question 4. What are the assumptions for conducting a t-test for dependent group in a study? Which of these assumptions do you think were met by this study?

Excel Question #1: Is there a significant difference between the boys and the girls in the 4th or 5th grade comparison? Justify your answer with your Excel results.
Excel Question #2: Is there a significant difference in the girl’s scores between the 4th and 5th grade? Justify your answer with your Excel results. (MAJOR HINT: you will need to move your cursor into the cell representing the results for “P(T<=t) one-tail,” right click, select “format cells,” select the “Number” tab, then select the choice “number,” then choose at least 10 decimal places for a decimal answer to appear.) Excel Question #3: Is there a significant difference in the boy’s scores between the 4th and 5th grade? (See hint for question #2). Justify your answer with your Excel results. Submit your answers in a Word document via the assignment link.

Listed below are some common terms of sale. Can you explain what each means? a) 2/3, net 60. b) 2/5, EOM, net 30. c) COD

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Listed below are some common terms of sale. Can you explain what each means?
a) 2/3, net 60.
b) 2/5, EOM, net 30.
c) COD

A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes.

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A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05, the management wants to perform a hypothesis test to determine whether the quality of items produced appears to be independent of the production process used. Calculate the expected number of conforming units produced by Process 2. please provide step by step solution.

The following probabilities for grades in management science have been determined based on past records; Grade A, B, C, D, F and probability .10, .30, .40, .10, .10 . The grades are assigned on a 4,0 scale where an A is a 4.0 a B a 3.0 and so on. Determine the expected grade and variance. (2) A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck or airplane, an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order once it is placed( referred to as lead time) Lead time 1, 2, 3, 4 and probability .20, .s0, .20, ,1o. Compute the expected number of days to receive an order and the standard deviation.

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The following probabilities for grades in management science have been determined based on past records; Grade A, B, C, D, F and probability .10, .30, .40, .10, .10 . The grades are assigned on a 4,0 scale where an A is a 4.0 a B a 3.0 and so on. Determine the expected grade and variance. (2) A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck or airplane, an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order once it is placed( referred to as lead time) Lead time 1, 2, 3, 4 and probability .20, .s0, .20, ,1o. Compute the expected number of days to receive an order and the standard deviation.

Describe the methodology of constructing and using control charts. Include in your discussion 1) what one should look for in interpreting control charts 2) the possible causes of different out-of-control indicators (provide an example).

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Describe the methodology of constructing and using control charts. Include in your discussion 1) what one should look for in interpreting control charts 2) the possible causes of different out-of-control indicators (provide an example).

Using the Break-Even and Capacity Calculator provided, work the following problems.

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Using the Break-Even and Capacity Calculator provided, work the following problems.

Problem A
The design capacity for engine repair in our company is 80 trucks per day. The effective capacity is 40 engines per day. The actual output is 36 engines per day.

1. Calculate the utilization and efficiency of the operation.

Two types of control charts for variables are p-charts and c-charts.

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Two types of control charts for variables are p-charts and c-charts.
True
False