ECO 500 FINAL EXAMS

The main role of economic profits is to:
signal where resources are most highly valued by society
allow firms to cover their production costs
allow consumers to cover their opportunity cost
None of the statements associated with this question are correct
If the interest rate is 3 percent, the present value of $900 received at the end of three years is:
$891.
$823.63.
$799.64
$983.45
The optimal amount of exercise is determined by comparing:
marginal benefit and the total cost of exercise.
total benefit and the marginal cost of exercise.
marginal benefit and the marginal cost of exercise.
total benefit and the total cost of exercise.
Suppose the market supply for good X is given by QXS = -200 + 5PX. If the equilibrium price of X is $100 per unit then producers’ revenue from X is
$100.
$300.
$30,000.
cannot be determined from the information contained in the question.

Other things held constant, the higher the price of a good
the lower the demand.
the higher the demand.
the greater the consumer surplus.
the smaller the consumer surplus.
If cars are a normal good, what do you suppose would happen to price and quantity of a car during an economic recession?
Price would increase and quantity decrease.
Price and quantity would both increase.
Price and quantity would both decrease.
Price would decrease and quantity increase
The responsiveness of consumer demand to changes in income is called:
income elasticity.
own price elasticity.
cross-price elasticity.
neither the income elasticity, the own price elasticity, nor the cross-price elasticity.

A firm derives revenue from two sources: goods X and Y. Annual revenues from good X and Y are $10,000 and $20,000, respectively. If the price elasticity of demand for good X is −2.0 and the cross-price elasticity of demand between Y and X is 3, then a 5 percent increase in the price of X will:
increase total revenues from X and Y by $2,500.
decrease total revenues from X and Y by $2,500.
decrease total revenues from X and Y by $3,500.
increase total revenues from X and Y by $3,500.

Which of the following measures of fit penalizes a researcher for estimating many coefficients with relatively little data?
F-statistic
R-square
Adjusted R-square
None of these

The demand for labor is:
sloping upward.
determined by MPL = W.
the value marginal product of labor.
derived from the profit-maximizing input condition
According to the table below, what is the average total cost of producing 145 units of output?

12.07
18.97
36.21
77.59
Diseconomies of scale exist whenever long-run average costs:
increase as output is increased.
decrease as output is increased.
remain constant as output is increased.
None of the statements is correct.
A benefit of using long-term contracts instead of the spot exchange is:
not needing spot checks.
more flexibility.
not needing to continually renegotiate the contract.
None of the statements is correct
A relationship-specific exchange:
is a consequence of profit sharing.
makes firms use spot markets.
is needed when there are specialized investments.
is needed when there are NO specialized investments
A benefit of long-term contracts is:
low transaction costs.
short-term flexibility.
the continual need to renegotiate the contract.
None of the answers are correct
The principal is an individual:
dependent on the agent.
who hires an agent to achieve goals.
hired by the agent to achieve goals.
hired by the agent to consult with him.
By removing performance-based rewards to CEOs the profits of firms will likely:
rise.
fall.
remain constant.
None of the statements is correct.

The activity known as shirking is MOST likely to occur when:
workers are not monitored.
the earnings of a worker are closely tied to the worker’s output.
sanctions for shirking are high.
firm ownership is not separated from the managerial control.
An increase in the chance of being fired:
decreases productivity at a decreasing rate.
decreases productivity at an increasing rate.
raises productivity at an increasing rate.
raises productivity at a decreasing rate.

The hold-up problem arises when both the purchaser and the seller:
behave as principals.
are opportunistic.
do not take advantage of the economies of scale.
do not take advantage of the economies of scope.

Which of the following is a transaction cost associated with using inputs?
Time spent negotiating labor contracts with union workers
Opportunity costs of negotiating the price of renting machines
Costs of searching for a new supplier of machines
All of the above
Suppose a firm needs to renegotiate their contract due to a decrease in the relationship-specific assets needed to complete the deal. This new contract should be:
longer term because the marginal benefit of contracting increases.
shorter term because the marginal benefit of contracting increases.
longer term because the marginal benefit of contracting decreases.
shorter term because the marginal benefit of contracting decreases.

The following groups do NOT experience principal-agent problems:
stockholders and managers.
managers and workers.
stockholders and consumers.
stockholders and workers.
The cost to an employee of shirking is:
a decrease in his flat salary.
a decrease in the profit of the firm.
a decrease in the sales of the firm.
an increase in the likelihood of being fired.
The opposite of shirking is:
long lunch hours.
putting in maximum amount of effort.
leaving work early.
All of the statements associated with this question are correct.
A manager who tries to enhance worker effort by tying workers’ compensation to how many units they produce is using:
spot checks.
revenue sharing.
profit sharing.
piece rates.
Under a monopoly which of the following always holds?
P > ATC.
P > MR.
P = MC.
All of the choices are true for monopoly.

The following is an example of a monopolist’s source of power:
large startup costs are needed to lay pipes to start a water utility company.
a seven-year patent on a new drug.
a pharmaceutical company discovers a drug that allows them to develop new drugs more cheaply in the future.
All of the statements associated with this question are correct.

You are the manager of a monopoly that faces a demand curve described by P = 220 − 10Q. Your costs are C = 5 + 20Q. The profit-maximizing output for your firm is:
10.
5.
20.
3.83.

Suppose perfectly competitive market conditions are characterized by the following inverse demand and inverse supply functions: P = 50 − 2Q and P = 10 + 2Q. The demand curve facing an individual firm operating in this market is:
P = 50 − 2Q.
P = 50 − 4Q.
a horizontal line at $10.
a horizontal line at $30.
In a competitive industry with identical firms, long-run equilibrium is NOT characterized by:
There is no excess capacity.
P < ATC.
P = MR.
P = MC.
Perfectly competitive markets differ from monopolistically competitive markets in that:
there are zero profits in the long run.
equilibrium price is set by the minimum of the ATC.
they each have a market supply curve.
all of the above.
There are several models of oligopoly because:
the actions of other firms have a profound impact on the manager’s optimal decision.
the order in which rival firms act matters.
oligopoly is the most complicated type of market structure.
all of the above.
A market is NOT contestable if:
some rivals have better technology.
consumers respond quickly to a price change.
existing firms cannot respond quickly to entry by lowering their price.
there are no sunk costs.
Collusion in pricing games is easier with:
A perfectly competitive market
A small number of firms
The ability to punish cheaters
A small number of firms and the ability to punish cheaters
Refer to the normal-form game shown below.

Which of the following represents player 1’s full strategy space?
{High, Low}
{High, Left}
{(High, Left), (High, Right), (Low, Left), (Low, Right)}
{Left, Right}
Which of the following is NOT needed to sustain collusion in pricing games?
A large number of firms.
A small number of firms.
Punishments for cheating.
None of the answers is correct

A monopoly produces widgets at a marginal cost of $4 per unit and zero fixed costs. It faces an inverse demand function given by P = 40 − Q. The monopoly price is:
$22.
$4.
$36.
$18.
The idea of charging different groups of consumers different prices is practiced in:
Two-part pricing.
First-degree price discrimination.
Second-degree price discrimination.
First- and second-degree price discrimination
Limited capacity is a necessary condition for a firm to use:
Cross-subsidization
Peak-load pricing
Transfer pricing
Two-part pricing
Price-matching strategies will likely enhance profits when:
you have brand loyalty.
customers can lie about finding a lower price.
competitors’ marginal costs are the same or higher than yours.
None of the above
Auto insurance shows us that which of the following is a characteristic of many people?
Risk aversion
Risk loving
Risk neutral
Desire to maximize wealth
You are a hotel manager and you are considering four projects that yield different payoffs, depending upon whether there is an economic boom or a recession. The potential payoffs and corresponding payoffs are summarized in the following table.

The expected value of project A is:
-$20
$50
$15
None of the statements is correct.
Buying flood insurance decreases homeowner’s incentives to install state of the art equipment that helps prevent flooding in homes. This is a(n) __________ problem.
adverse selection
moral hazard
risk aversion
none of the statements associated with this question are correct
Which of the following auction examples has a private value information structure?
Three firms bid for an oil lease.
An auction of a book signed by the author.
A stadium in need of money decides to name itself after the person willing to pay the most for the privilege.
An auction of a book signed by the author and a stadium in need of money decides to name itself after the person willing to pay the most for the privilege.

The price an unregulated monopolist will likely charge is:
above marginal cost.
below marginal revenue.
where marginal cost is equal to marginal revenue.
below MR and above MC.
Which of the following statements is true in the presence of negative externalities?
The socially efficient equilibrium is found at the intersection of MC to society and the demand curve.
The social marginal cost curve is equal to the sum of the internal and external marginal cost curves.
An unregulated monopoly will produce where the internal marginal cost curve intersects with the demand curve.
All of the above statements are true
Nonrivalry and nonexclusionary are characteristics of which of the following:
Public goods
Antitrust policy
Free riding
All of the above
Which of the following pieces of legislation is aimed at curbing the negative effects of asymmetric information?
Robison-Patman Act
Clayton Act
Clean Air Act
Truth in Lending Simplification Act
A consequence of government intervention is:
rent seeking.
moral hazard.
public goods.
adverse selection.

Jaynet spends $30,000 per year on painting supplies and storage space.  She recently received two job offers from a famous marketing firm – one offer was for $110,000 per year, and the other was for $80,000.  However, she turned both jobs down to continue a painting career. If Jaynet sells 25 paintings per year at a price of $8,000 each:

a. What are her accounting profits?

$

b. What are her economic profits?

$

The demand curve for product X is given by QXd = 520 – 4PX.

a. Find the inverse demand curve.

PX =  –  QXd

Instructions: Round your answer to the nearest penny (2 decimal places).

b. How much consumer surplus do consumers receive when Px = $50?

$

c. How much consumer surplus do consumers receive when Px = $30?

$

d. In general, what happens to the level of consumer surplus as the price of a good falls?

The level of consumer surplus  as the price of a good falls.

You are the manager of a firm that receives revenues of $40,000 per year from product X and $80,000 per year from product Y. The own price elasticity of demand for product X is -1.5, and the cross-price elasticity of demand between product Y and X is -1.8.

How much will your firm’s total revenues (revenues from both products) change if you increase the price of good X by 1 percent?

Instructions: Round your answer to the nearest dollar. Include a minus (-) sign if applicable.

$

An economist estimated that the cost function of a single-product firm is:

C(Q) = 50 + 25Q + 30Q2 + 5Q3.

Based on this information, determine the following:

a. The fixed cost of producing 10 units of output.

$

b. The variable cost of producing 10 units of output.

$

c. The total cost of producing 10 units of output.

$

d. The average fixed cost of producing 10 units of output.

$

e. The average variable cost of producing 10 units of output.

$

f. The average total cost of producing 10 units of output.

$

g. The marginal cost when Q = 10.

$

Describe how a manager who derives satisfaction from both income and shirking allocates a 10-hour day between these activities when paid an annual, fixed salary of $110,000.

Time spent working:  hours
Time spent shirking:  hours

When this same manager is given an annual, fixed salary of $110,000 and 5 percent of the firm’s profits—amounting to a total salary of $150,000 per year—the manager chooses to work 8 hours and shirks for 2 hours. Given this information, which of the compensation schemes does the manager prefer?
The manager is indifferent between the two payment schemes.
The scheme with fixed payment of $110,000 and a percentage of profits.
The scheme with only a fixed payment of $110,000.
Suppose the own price elasticity of market demand for retail gasoline is -0.7, the Rothschild index is 0.3, and a typical gasoline retailer enjoys sales of $2,500,000 annually. What is the price elasticity of demand for a representative gasoline retailer’s product?

Instruction: Round your answer to 2 decimal places.

Last month you assumed the position of manager for a large car dealership. The distinguishing feature of this dealership is its “no hassle” pricing strategy; prices (usually well below the sticker price) are posted on the windows, and your sales staff has a reputation for not negotiating with customers. Last year, your company spent $4 million on advertisements to inform customers about its “no hassle” policy, and had overall sales revenue of $30 million. A recent study from an agency on Madison Avenue indicates that, for each 8 percent increase in TV advertising expenditures, a car dealer can expect to sell 3 percent more cars—but that it would take a 2 percent decrease in price to generate the same 3 percent increase in units sold.

Assuming the information from Madison Avenue is correct, should you increase or decrease your firm’s level of advertising?
The firm should increase advertising.
The firm should decrease advertising.
The firm should not change advertising.

The manager of a local monopoly estimates that the elasticity of demand for its product is constant and equal to -3. The firm’s marginal cost is constant at $15 per unit.

a. Express the firm’s marginal revenue as a function of its price.

Instruction: Round your response to 2 decimal places.

MR =  x P

b. Determine the profit-maximizing price.

Instruction: Use the rounded value calculated above and round your response to 2 decimal places.

$

Consider a Bertrand oligopoly consisting of four firms that produce an identical product at a marginal cost of $200. The inverse market demand for this product is P = 400 -4Q.

a. Determine the equilibrium level of output in the market.

b. Determine the equilibrium market price.

$

c. Determine the profits of each firm.

$
Use the following normal-form game to answer the questions below.
Player 2
Strategy    C    D
Player 1    A    70, 70    110, 40
B    40, 110    75, 75

a. Identify the one-shot Nash equilibrium.

b. Suppose the players know this game will be repeated exactly three times. Can they achieve payoffs that are better than the one-shot Nash equilibrium?

c. Suppose this game is infinitely repeated and the interest rate is 4 percent. Can the players achieve payoffs that are better than the one-shot Nash equilibrium?

d. Suppose the players do not know exactly how many times this game will be repeated, but they do know that the probability the game will end after a given play is θ. If θ is sufficiently low, can players earn more than they could in the one-shot Nash equilibrium?

You are the manager of a monopoly that sells a product to two groups of consumers in different parts of the country. Group 1’s elasticity of demand is -3, while group 2’s is -4. Your marginal cost of producing the product is $20.

a. Determine your optimal markups and prices under third-degree price discrimination.

Instruction: Round your answers to two decimal places.

Markup for group 1:
Price for group 1: $

Markup for group 2:
Price for group 2: $

b. Which of the following are necessary conditions for third-degree price discrimination to enhance profits.

Instructions: You may select more than one answer. Click the box with a check mark for the correct answers and click twice to empty the box for the wrong answers. You must click to select or deselect each option in order to receive full credit.
At least one group has elasticity of demand greater than 1 in absolute value.
There are two different groups with different (and identifiable) elasticities of demand.
At least one group has elasticity of demand less than one in absolute value.
We are able to prevent resale between the groups.

A risk-neutral consumer is deciding whether to purchase a homogeneous product from one of two firms. One firm produces an unreliable product and the other a reliable product. At the time of the sale, the consumer is unable to distinguish between the two firms’ products. From the consumer’s perspective, there is an equal chance that a given firm’s product is reliable or unreliable. The maximum amount this consumer will pay for an unreliable product is $0, while she will pay $50 for a reliable product.

a.    Given this uncertainty, what is the most this consumer will pay to purchase one unit of this product?

$
b.    How much will this consumer be willing to pay for the product if the firm offering the reliable product includes a warranty that will protect the consumer?

$

 
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Project Network Plan

Project Networking provides the necessary tools to monitor project progress. Considerable time and effort is expended developing successful project networks.

Refer to exercise 9 in chapter 6 of the textbook. Read the assignment thoroughly and analyze the data provided in the diagram.

Compute the project network sequence and proper timing to complete the project using an excel spreadsheet, PowerPoint, or another appropriate form of delivery method. Address all required information in the description presented in exercise 9. In addition, respond to the following questions (300-500 words):

  1. Provide the Early Start, Early Finish, Late Start, and Late Finish times for each activity. Compute the Total Slack for each activity. Determine which activities are on the critical path. How long will it take to complete the project?
  2. An activity that is on the critical path for this project has increased by 7.  Will the project end date be delayed? If so, by how much?

APA format is not required, but solid academic writing is expected.

You are not required to submit this assignment to LopesWrite, unless otherwise directed by your instructor. If so directed, refer to the Student Success Center for directions. Only Word documents can be submitted to LopesWrite.

 
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BSBFIM601 Manage Finances

BSBFIM601 Manage Finances – Assessment 1 Last Updated: October 2016, V. No. 1.1

Page 1 of 3

ASSESSMENT 1 – Project

Submission details

The Assessment Task is due on the date specified by your trainer. Any variations to this arrangement must be approved in writing by your trainer. Submit this document with any required evidence attached. See specifications below for details. You must submit both soft copies and printed copies of your answers. Soft copies- Upload on the eLearning to the specific submission folder with a cover page clearly indicating your name, student id, assessment no and the unit name or put those information in the header and footer of your documents. Printed copies- Submit to your Trainer with the “Assessment Cover Sheet” (Filled out and signed appropriately) attached on top of your documents.

Description

This assessment consist of three parts

PART A You are to research and prepare the following revenue, expenditure and capital investment proposals for a business or strategic opportunity of your choice. This opportunity must be for a business that, as a minimum has:

 Start-up capital

 Overheads including rent, wages, stock, etc

 Scope for growth Your strategic opportunity may include one of the following:

 New product / service development

 New models / revisions of products / services

 Expansion / contraction of operational activities

 Alliances / joint ventures

 Outsourcing / in sourcing

 New business opportunities The reports must include:

 Financial budgets including start-up capital

 Projected profit & loss for 12 months

 Cash flow plans

 Capital expenditure budgets When undertaking this assessment task, you must:

 

 

 

BSBFIM601 Manage Finances – Assessment 1 Last Updated: October 2016, V. No. 1.1

Page 2 of 3

 Express your strategic opportunities in term of tactical and operational objectives

 Convert these opportunities into special projects or work programs

 Analyse financial trends, and interpret them in context of your objectives

 Clearly outline your financial planning objectives, process timeframes and resources.

 Consult with all relevant persons / groups when developing your proposals

 Consider past experiences, present trends and future expectations

 Show how your proposal is linked to your organisational strategic objectives

 Incorporate a realistic cost benefit and risk analyses / management plan into all proposals

 Detail your organisational investment target rates for capital expenditure proposals

 Identify performance measures and tactics for monitoring and control processes for each proposal / action

 Describe how your proposals comply with your organisations values, policies, code of conduct, and legal / ethical obligations

 Submit your proposal within the time-frame set by your assessor

 Provide supporting evidence (cost/benefit analyses, risk management plans, market research results, net present values, interest rate of return, pay pack calculations, etc)

The trainer/assessor must discuss the proposed business opportunity with the candidate prior to commencing with this assessment.

PART B Next, you are to develop the budgets and plans for your proposals developed in PART A. Throughout this process, you assessor will act as your supervisor for all negotiations required. In developing the budgets and plans proposed, you are to include details on how:

 Negotiation was undertaken with relevant groups and individuals in ways to build commitment to the plans

 You identified and agreed on the links to the achievement of organisation strategies

 Your negotiated with your supervisor (your assessor) to obtain a clear agreement of the matters to be incorporated into the budgets and plans

Your budgets and plans should:

 Show all outcomes confirmed in terms of clear, concise objectives and timeframes

 Incorporate the outcomes of your negotiations and meet your organisations approval process

 Provide written confirmation of all delegations, accountabilities and responsibilities

 Be clearly documented and include a communication plan Throughout this project you need to communicate clearly with your trainer/assessor. You are to demonstrate professionalism with all communications, as you will be representing your company and position. Trainer/assessor will role-play the position of supervisor, and all parties required for negotiation in order to demonstrate competency in this unit.

 

 

 

 

BSBFIM601 Manage Finances – Assessment 1 Last Updated: October 2016, V. No. 1.1

Page 3 of 3

PART C Now you are to take your completed PART A and PART B and arrange an appointment with your assessor, who will role-play a finance specialist. In this meeting, you are to

 Manage the meeting direction and progress

 Discuss with the finance specialist the aspects of your budgets / financial plans (the package)

 Have your package reviewed, ensuring your validate your reasons and proposals

 Amend / revise your package as appropriate You must now:

 Detail in writing all delegations and budget accountabilities for implementation and management of your package

 

 Develop a written procedure that details the recording systems and documentation process you will follow for monitoring and controlling all activities against your plans.

 

 Develop a risk management and contingency plan for all your proposed financial plans; along with a policy and procedure to be followed when implementing these plans

 

 Develop a policy and procedure that outlines proper maintenance of records of financial performance and provides for evaluation of the effectiveness of your financial management process

The trainer/assessor will be available to role play were required for this assessme

 
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Controls

Assignment 1: Discussion

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.
Post your response to the Discussion Area by Friday, March 8, 2013.

 Assignment 2: Controls

As a quality analyst you are also responsible for controlling the weight of a box of cereal. The Operations Manager asks you to identify the ways in which statistical quality control methods can be applied to the weights of the boxes. Provide your recommendations to the Operations Manager in a two-three page report. Using the data provided in the Doc Sharing area labeled M4A2Data, create Xbar and R charts.

Your report should indicate the following along with valid justifications of your answers:

  1. The control limits of the weights of the boxes.
  2. Nonrandom patterns or trends, if any.
  3. If the process is in control.
  4. The appropriate action if the process is not in control.

Submit your handout and summary to the M4: Assignment 2 Dropbox by Monday, March 11, 2013.

Data and Answers

As a quality analyst you are also responsible for controlling the weight of a box of cereal. The Operations Manager asks you to identify the ways in which statistical quality control methods can be applied to the weights of the boxes. Provide your recommendations to the Operations Manager in a two-page report. Using the data provided in the Doc Sharing area, create Xbar and R charts.
Your report should indicate the following along with valid justifications of your answers:
The control limits of the weights of the boxes.
Nonrandom patterns or trends, if any.
If the process is in control.
The appropriate action if the process is not in control.
Sample Box 1 Box 2 Box 3 Sample Means Maximum Minimum Sample Range
1 6.300 6.280 6.260 6.280 6.300 6.260 0.040
2 6.320 6.320 6.330 6.323 6.330 6.320 0.010
3 6.290 6.330 6.360 6.327 6.360 6.290 0.070
4 6.300 6.290 6.340 6.310 6.340 6.290 0.050
5 6.295 6.315 6.390 6.333 6.390 6.295 0.095
6 6.292 6.319 6.330 6.314 6.330 6.292 0.038
7 6.289 6.323 6.400 6.337 6.400 6.289 0.111
8 6.286 6.327 6.471 6.361 6.471 6.286 0.185
9 6.283 6.331 6.498 6.371 6.498 6.283 0.215
10 6.280 6.335 6.525 6.380 6.525 6.280 0.245
11 6.277 6.339 6.390 6.335 6.390 6.277 0.113
12 6.274 6.343 6.400 6.339 6.400 6.274 0.126
See all the other sheets in this file.
(a) The control limits are: (a) For Mean weight, LCL = 6.3087 ounces, UCL = 6.3696 ounces and (b) For Range, LCL = 0.0324 ounes, UCL = 0.1964 ounce
(b) At the time measurements were taken on the 5th through 9th samples, the mean weights and the range of weights appears to have been increasing in a somewhat linear pattern. It appears that the filling machine has gradually gone off setting during this period. This is the only non-random variation observed at the time of taking the 12 measurements.
(c ) The process is not in control since we see points lying outside the control limits in both x-bar chart and R chart.
(d) Corrective action in terms of resetting the machine is required. Trials should be run and again more samples drawn to check if the process has come under control.
See all the sheets for the calculations and tables. The process is in statistical control.

XBar Chart

1 1 1 1
2 2 2 2
3 3 3 3
4 4 4 4
5 5 5 5
6 6 6 6
7 7 7 7
8 8 8 8
9 9 9 9
10 10 10 10
11 11 11 11
XBar
LCL-X
Center-X
UCL-X
Sample Mean
Control Chart Calculations
LCL
XBar
UCL
6.3233333333
6.3087307879
6.3391515152
6.3695722424
6.3266666667
6.3087307879
6.3391515152
6.3695722424
6.31
6.3087307879
6.3391515152
6.3695722424
6.3333333333
6.3087307879
6.3391515152
6.3695722424
6.3136666667
6.3087307879
6.3391515152
6.3695722424
6.3373333333
6.3087307879
6.3391515152
6.3695722424
6.3613333333
6.3087307879
6.3391515152
6.3695722424
6.3706666667
6.3087307879
6.3391515152
6.3695722424
6.38
6.3087307879
6.3391515152
6.3695722424
6.3353333333
6.3087307879
6.3391515152
6.3695722424
6.339
6.3087307879
6.3391515152
6.3695722424

RChart

1 1 1 1
2 2 2 2
3 3 3 3
4 4 4 4
5 5 5 5
6 6 6 6
7 7 7 7
8 8 8 8
9 9 9 9
10 10 10 10
11 11 11 11
Range
LCL-R
Center-R
UCL-R
Sample Range
Control Chart Calculations
LCL
RBar
UCL
0.01
0.0323649091
0.1143636364
0.1963623636
0.07
0.0323649091
0.1143636364
0.1963623636
0.05
0.0323649091
0.1143636364
0.1963623636
0.095
0.0323649091
0.1143636364
0.1963623636
0.038
0.0323649091
0.1143636364
0.1963623636
0.111
0.0323649091
0.1143636364
0.1963623636
0.185
0.0323649091
0.1143636364
0.1963623636
0.215
0.0323649091
0.1143636364
0.1963623636
0.245
0.0323649091
0.1143636364
0.1963623636
0.113
0.0323649091
0.1143636364
0.1963623636
0.126
0.0323649091
0.1143636364
0.1963623636

ForCharts

Number XBar Range LCL-R Center-R UCL-R LCL-X Center-X UCL-X
1 6.3233333333 0.01 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
2 6.3266666667 0.07 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
3 6.31 0.05 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
4 6.3333333333 0.095 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
5 6.3136666667 0.038 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
6 6.3373333333 0.111 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
7 6.3613333333 0.185 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
8 6.3706666667 0.215 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
9 6.38 0.245 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
10 6.3353333333 0.113 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424
11 6.339 0.126 0.0323649091 0.1143636364 0.1963623636 6.3087307879 6.3391515152 6.3695722424

Calculations

Control Chart Calculations
Control Chart Factors Table.
Data Subgroup size D3 D4 A2
Sample/Subgroup Size 12 2 0 3.267 1.880
3 0 2.575 1.023
R Chart Intermediate Calculations 4 0 2.282 0.729
RBar 0.1143636364 5 0 2.114 0.577
D3 Factor 0.283 6 0 2.004 0.483
D4 Factor 1.717 7 0.076 1.924 0.419
8 0.136 1.864 0.373
R Chart Control Limits 9 0.184 1.816 0.337
Lower Control Limit 0.0323649091 10 0.223 1.777 0.308
Center 0.1143636364 11 0.256 1.744 0.285
Upper Control Limit 0.1963623636 12 0.283 1.717 0.266
13 0.307 1.693 0.249
XBar Chart Intemediate Calculations 14 0.328 1.672 0.235
Average of Subgroup Averages 6.3391515152 15 0.347 1.653 0.223
A2 Factor 0.266 16 0.363 1.637 0.212
A2 Factor * RBar 0.0304207273 17 0.378 1.622 0.203
18 0.391 1.609 0.194
XBar Chart Control Limits 19 0.404 1.596 0.187
Lower Control Limit 6.3087307879 20 0.415 1.585 0.180
Center 6.3391515152 21 0.425 1.575 0.173
Upper Control Limit 6.3695722424 22 0.435 1.565 0.167
23 0.443 1.557 0.162
24 0.452 1.548 0.157
25 0.459 1.541 0.153
26 Factor value not available. Possible error in sample/subgroup size. Factor value not available. Possible error in sample/subgroup size. Factor value not available. Possible error in sample/subgroup size.
Factor value not available. Possible error in sample/subgroup size.
 
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