Bunker Hill Mining Company has two competing proposals: a processing mill and an electric shovel. Both pieces of equipment have an initial investment of $750,000. The net cash flows estimated for the two proposals are as follows:
Net Cash Flow Year Processing Mill Electric Shovel
1 $310,000 $330,000
2 260,000 325,000
3 260,000 325,000
4 260,000 320,000
5 180,000
6 130,000
7 120,000
8 120,000
The estimated residual value of the processing mill at the end of Year 4 is $280,000.
Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162
Determine which equipment should be favored, comparing the net present values of the two proposals and assuming a minimum rate of return of 15%. Use the present value table appearing above. If required, round to the nearest dollar.
Processing mill electric shovel
Present value of net cash flow total $_____ $_____
Less amount to be invested $_____ $_____
Net present value $_____ $_____

Answers

Answer 1

Answer:

Year    NCF Processing Mill     NCF Processing Mill     NCF Electric Shovel

0          -$750,000                        -$750,000                      -$750,000      

1           $310,000                          $310,000                        $330,000

2          $260,000                         $260,000                       $325,000

3          $260,000                         $260,000                       $325,000

4          $260,000                         $540,000                       $320,000

5          $180,000

6          $130,000

7          $120,000

8          $120,000

discount rate = 15%

NPV Processing Mill (8 years) = -$750,000 + ($310,000 x .87) + ($260,000 x .756) + ($260,000 x .658) + ($260,000 x .572) + ($180,000 x .497) + ($130,000 x .432) + ($120,000 x .376) + ($120,000 x .327) = -$750,000 + $267,700 + $196,560 + $171,080 + $148,720 + $89,460 + $56,160 + $45,120 + $39,240 = -$750,000 + $1,014,040 = $264,040 HIGHEST NPV, SO THIS PROJECT SHOULD BE SELECTED

NPV Processing Mill (4 years) = -$750,000 + ($310,000 x .87) + ($260,000 x .756) + ($260,000 x .658) + ($540,000 x .572) = -$750,000 + $267,700 + $196,560 + $171,080 + $308,880 = -$750,000 + $944,220 = $194,220

NPV Electric Shovel (4 years) = -$750,000 + ($330,000 x .87) + ($325,000 x .756) + ($325,000 x .658) + ($320,000 x .572) = -$750,000 + $287,100 + $245,700 + $213,850 + $183,040 = -$750,000 + $929,690 = $179,690


Related Questions

Let M be the number of units to make and B be the number of units to buy. If it costs $2 to make a unit and $3 to buy a unit and 4000 units are needed, the objective function is

Min 2M + 3B

Min 4000 (M + B)

Max 2M + 3B

Max 8000M + 12000B

Answers

Answer:

Min 2M + 3B

Explanation:

Data provided in the question

Let us assume M denotes the making units

B denotes the buying units

So,

Making cost per unit = $2

And, the buying cost per unit = $3

And, the total number of units required = 4,000 units

Based on the above information, the objective function is Min 2M + 3B.

This indicates the minimum total cost

Hence, the correct option is A.

If sales are $803,000, variable costs are 66% of sales, and operating income is $262,000, what is the contribution margin ratio

Answers

Answer:

34%

Explanation:

The formula to calculate the contribution margin ratio is:

Contribution margin ratio= (Sales – variable expenses)/sales

Sales=$803,000

Variable expenses=$803,000*66%=$529,980

Now, you can replace the values:

Contribution margin ratio=($803,000-$529,980)/$803,000

Contribution margin ratio=0.34

According to this, the answer is that the contribution margin ratio is 34%.

ane is planning to offer a Groupon for inner tube rentals that she will distribute on hot, sunny, summer days by the river that runs through her town. Based on her past experience with Groupon, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day. If Jane would like her expected revenue to be at least $300 per day, what should the Groupon price be? (Round your answer up to the nearest whole dollar amount.)

Answers

Probability assigned:|

x 30 60 120 180

P(x) .10 .40 .40 .10

Answer:

Jane

Price of Groupon for a revenue of $300 is:

$3

Explanation:

a) Data and Calculations:

Expected Sales volume:

Number of Tubes  x   30     60      120     180

Probability P(x)           .10     .40      .40      .10

Expected values          3      24       48       18

Total = 93 tubes

Groupon price = $300/93 = $3.23

b) Jane's price for each Groupon will be the rent revenue per day divided by the expected number of tubes to rent daily.  The expected number of tubes is derived by multiplying each expected number of tubes by its probability and then summing up the results.

Managers of an American television network have been told they need to employ a localization strategy if they want to break into the European and Australian markets. What specifically should they do to implement this strategy

Answers

Answer:

they will need to follow the television viewing habits,and  cultural differences in the locality.

Explanation:

This is very important so as to determine what would work best in each region. An extensive research into television habits as well as cultural norms would need to be carried out.

For example, program schedule times may need adjustments based on a different viewing time.

Company A was sued by Company B. The management of Company A feels that it is probable that it will have to pay the full amount to Company 8. What is the effect of this contingent event on Company A's accounting equation?
a. Increase liabilities and decrease stockholders' equity.
b. Increase assets and increase stockholders' equity.
c. No effect on the accounting equation.
d. Decrease assets and decrease liabilities.

Answers

Answer: a. Increase liabilities and decrease stockholders' equity.

Explanation:

Contingent Liabilities are obligations that the company may owe if a future event happens such as them being ruled against in a case in court.

Contingent Liabilities are to be recorded in the financial statements only when it is probable that it will happen and that the amount to be paid is reasonably estimable.

Company A's management feels like the loss is probable and that they would have to pay the full amount to company B which means that the loss is both likely and estimable.

Company A should therefore increase their liabilities and debit loss which will come from the Equity thereby reducing it.

0.69 points eBookPrintReferences Check my work Check My Work button is now enabledItem 1Item 1 0.69 points Fresh Veggies, Inc. (FVI), purchases land and a warehouse for $410,000. In addition to the purchase price, FVI makes the following expenditures related to the acquisition: broker's commission, $21,000; title insurance, $1,100; and miscellaneous closing costs, $4,200. The warehouse is immediately demolished at a cost of $21,000 in anticipation of building a new warehouse. Determine the amount FVI should record as the cost of the land.

Answers

Answer:

$457,300

Explanation:

Calculation to determine the amount FVI should record as the cost of the land.

COST OF LAND

Land and warehouse $410,000

Add Expenditure:

Broker's commission $21,000

Title insurance $1,100

Miscellaneous closing costs $4,200

Warehouse demolished cost $21,000

Cost of land $457,300

Therefore the cost of land will be $457,300

Antitrust regulations would most likely require one of the following in order to determine whether or not a merger may enhance competition. Which one is it?
A. Highly complex analytical tools
B. Analysis using numerical tools
C. Obvious objective judgments
D. Readily qualified judgments

Answers

Answer: analysis using numerical tools

Explanation:

The main reason for the creation of Antitrust laws was to give power to the government to block some particular mergers and also break up the large firms to smaller ones.

Antitrust regulations would most likely require analysis using numerical tools in order to determine whether or not a merger may enhance competition.

Each extra worker produces an extra unit of output up to six workers. After six, no additional output is produced. Draw the total product of labor, average product of labor, and marginal product of labor curves.

Answers

Answer:

attached is the diagram

Explanation:

Each extra worker produces an extra unit of output, is said to be the marginal production of an extra worker employed

marginal production  :

change in total production / change in labor = ΔTp / ΔL

Average production = Tp / L

Tp = total production ,  L = number of labor

To draw the Total product of labor , average product labor and marginal product labor curves starting from zero labor

0 worker : Total product = 0, average product labor = 0 , marginal = 0

1 worker : Total product = 1, average product = 1 , marginal = 0

2 worker : Total product = 2, average product = 1, marginal = 1

3 workers: total product = 3 average product = 1, marginal = 1

4 workers: Total product = 4, average product = 1, marginal = 1

5 workers : Total product = 5 average product = 1, marginal = 1

6 workers : total product = 6 average product = 1 , marginal = 1

7 workers : total product = 7 , average product = 0.85, marginal = 0

8 workers : total product = 8, average product = 0.75 marginal = 0

Patterson Company owns 80% of the outstanding common stock of Stevens Company. On June 30, 2013, landcosting $500,000 is sold by one affiliate to the other for $800,000.Required:Prepare in general journal form the workpaper entries necessary because of the intercompany sale of land in theconsolidated financial statements workpaper for the year ended December 31, 2014, assuming that:A. Patterson Company purchased the land from Stevens Company.B. Stevens Company purchased the land from Patterson Company.

Answers

Answer:                              

1. Sale of land by Stevens (subsidiary) - Upstream transaction

                                    General Journal

Date                Particulars                    Debit          Credit

31-Dec-14    Retained earnings A/c   $240,000

                    (300,000*80%)

                  Non controlling interest   $60,000

                   (300,000*20%)

                         To, Land                                       $300,000  

                          (Being profit on sale eliminated)

2. Sale by Patterson (holding) - Downstream transaction

Date               Particulars                     Debit          Credit

31-Dec-14     Retained earnings a/c  $300,000  

                       To, Land                                          $300,000

(Being profit on sale earlier recognized by holding eliminated)

"A customer has an existing margin account and wants to write five covered calls against 500 shares of stock in the account. The margin requirement to write the calls is:"

Answers

Answer: 0

Explanation: The sale of the stock call, would be covered by the ownership of the stock ( someone who owns the said stock). The required margin needed to sell the stock would be ‘0’ since there is no evidence that points to any available risks on the short calls. as short calls helps to predict of prices would drop or not.

You have gathered the following information on your investments. What is the expected return on the portfolio? Stock Number of Shares Price per Share Expected Return F 310 $ 40 13.32 % G 315 $ 26 10.05 % H 255 $ 52 10.59 %

Answers

Answer:

Expected return on the portfolio = $3,879.00

Explanation:

a) Data and Calculations:

Stock   Number of Shares   Price per Share  Expected Return  Expected

                                                                                                       Value

F                   310                         $ 40                   13.32 %           $1,651.68

G                  315                         $ 26                   10.05 %            $823.09

H                 255                         $ 52                   10.59 %          $1,404.23

Total           880                                                                          $3,879.00

b) The expected return on the portfolio is the addition of the expected returns of each class of shares.  This is obtained by multiplying the number of shares in each class with the price and the expected return in percentage.  This gives a weighted value for the class of shares, which are then added to obtain the expected return on the portfolio.

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Career Connection: Shin-fong How does Shin-fong keep track of his finances?

Answers

Answer:

By means of a budget he prepared.

Explanation:

According to the information available, Shing-fong has a carefully thought out strategy. Here's some of what he does;

he keeps tracks of his finances by means of a budget plan.he views all his transactions also checking his debit or credit cards to keep track of how much he spendsShing-Fong avoids eating out as much as he used to and preparing cheaper food at home.he also avoids unnecessarily spending with friends whenever he is invited.

An organizationally-driven reason for outsourcing is that it can improve effectiveness by focusing on what the firm does best.

Answers

Answer:

True

Explanation:

Outsourcing is when a company gives some of its internal activities to an external party that takes the responsibility to get things done and one of the reasons for a company to do this is to get rid of activities that have to get done but that are not part of their core operations to be able to concentrate on their main activity and get those things done by experts which can help increase productivity. According to that, the answer is that the statement is true.

A bond issue with a face amount of $1,200,000 bears interest at the rate of 9%. The current market rate of interest is 10%. These bonds will sell at a price that is:

Answers

Answer: The selling price of the bond will be less than $1,200,000

Explanation:

From the question, we are informed that a bond issue with a face amount of $1,200,000 bears interest at the rate of 9% and that the current market rate of interest is 10%.

Since the market rate is 10% which is higher than coupon rate of 9%, this means that the market price for the bond will be smaller than the bond's face value.

Therefore, the selling price of the bond will be less than $1,200,000.

In trial balance, which accounts with normal balance is recorded at the credit side?

Answers

Accrued expenses account

Effectiveness of a solution is equal to:_______

a. Quality of a Solution 20% (x) Acceptability of the Solution 80%
b. Quality of a Solution 80% (x) Acceptability of the Solution 20%
c. Quality of a Solution 10% (x) Acceptability of the Solution 90%
d. Quality of a Solution 90% (x) Acceptability of the Solution 10%
e. None of the above

Answers

Answer:

a. Quality of a Solution 20% (x) Acceptability of the Solution 80%

Explanation:

We say that a solution is effective i.e 100%, when it has a 20% of its quality and 80% of its acceptability.

A solution is effective when it has a 100% effect. The application of a solution to a problem which yields 100% effect is said to be effective and acceptable.

The scale used is the relationship given as:

Effectiveness of a solution = Quality of a Solution 20% (x) Acceptability of the Solution 80%

Your textbook discussed a model of a simple economy with four markets: labor, capital, energy, and food. Which of the following statements is inconsistent with a general equilibrium for this simple economy?
A. The household demand for energy equals the industry supply of energy.
B. The household demand for food equals the industry supply of food.
C. The household demand for labor equals the industry supply of labor.
D. The household supply of capital equals the industry demand for capital.

Answers

Answer:

The correct answer is the option C: The household demand for labor equals the industry supply of labor

Explanation:

To begin with, when it comes to the microeconomics theory the market of labor is considered to be as a factor of production market and from that point of view the labor is demanded by the companies to the households who are the ones who offered the labor due to the fact that the workers are the one who put their force to disposition of the companies. And that is why that it would be inconsistent to say that the household demand for labor will equals the industry supply of labor, because it is all the way around, the household supply of labor will equals the industry demand of it.

Lacy Technology transferred items with $12,600 of cost out of the Assembly Department because the items were finished and ready to be sold. What journal entries correctly reflects this transaction?

Answers

Answer:

Dr Finished Goods Inventory 12,600

Cr Work in Process - Assembly 12,600

Explanation:

Based on the information given we were told that the company transferred items that cost the amount of $12,600 from the Assembly Department because the items were finished and ready to be sold which means that the journal entries will be recorded as:

Dr Finished Goods Inventory 12,600

Cr Work in Process - Assembly 12,600

Your client in the 25% federal income tax bracket lives in a state where his earnings place him in the 6% bracket for state income tax purposes. If he were to purchase a 4% bond issued by a political subdivision of another state, his total tax-equivalent yield would be

Answers

Answer:

Slightly more than 5.33%.

Explanation:

In case when the municipal bond owned by an individual i.e. issued is not for interest free tax rate but also it is non tax on that particular state

So here the tax-equivalent yield is

= Purchase bond percentage ÷ (1 - tax rate)

= 0.04 ÷ (1 - 0.25)

= 5.33%

Hence, his total tax-equivalent yield is 5.33% i.e. calculated by applying the above formula

Between 1953 and 2015, rising labor productivity contributed more to U.S. economic growth than did increases in inputs.
A. True
B. False

Answers

Answer: True

Explanation:

Labor productivity has to do with the amount of products and services which are produce at a particular time by the workers.

It should be noted that between 1953 and 2015, rising labor productivity contributed more to U.S. economic growth than did increases in inputs. This brought about increase in the available goods and services in the country.

​Gladiator USA, a tire​ manufacturer, guarantees its tires against defects for five years or​ 60,000 miles, whichever comes first. Suppose USA can expect warranty costs during the​ five-year period to add up to of sales. Assume that a USA dealer in​ Denver, Colorado, made sales of during 2018. ​Gladiator USA received cash for ​% of the sales and took notes receivable for the remainder. Payments to satisfy customer warranty claims totaled during 2018. Record the​ sales, warranty​ expense, and warranty payments for Gladiator USA.

Answers

Answer:

DR Cash............................................$96,450  

DR Notes receivable........................$546,550  

CR Sales revenue...................................................$643,000

(To record sales)  

DR Warranty expense .............................$32,150  

CR Warranty liability.................................................$32,150

(To record Warranty Expense)

 

DR Warranty liability.................................$20,000  

CR Cash......................................................................$20,000

(To record Warranty Claim Payments)  

Explanation:

Cash = 15% * $643,000

= $96,450

Notes Receivable = 643,000 - 96,450

= $546,550  

Warranty Expense = 5% x $643,000

= $32,150

A company's gross profit (or gross margin) was $129,650 and its net sales were $502,900. Its gross margin ratio is

Answers

Answer:

25.8%

Explanation:

A company gross profit is $129,650

The net sales is $502,900

Therefore, the gross margin ratio can be calculated as follows

Gross margin ratio= gross margin /net sales

= $129,650/$502,900

= 0.258×100

= 25.8%

Hence the gross margin ratio is 25.8%

Charlie is a strategist who wants to decide on the appropriate strategy to help his firm "go global." Which of the following should Charlie consider while choosing his strategy?A) He must be aware of the fact that despite globalization and the emergence of the Internet, firm geographic location has actually maintained its importance.B) He should rely on his firm's business-level strategy as a clue to possible strategies pursued globally.C) He should remember that he has only one framework at his disposal to make global strategy decisions.D) He must remember that higher levels of control and a lower likelihood of any loss in reputation go along with less investment-intensive foreign entry modes.

Answers

Answer: A) He must be aware of the fact that despite globalization and the emergence of the Internet, firm geographic location has actually maintained its importance.

Explanation:

Charlie must consider that despite the fact that the internet and technology have made globalization more accessible, the location of a business remains very important hence the old saying "its all about location location location".

The firm's geographical location has an effect on stakeholders in the company such as customers, employees and suppliers. For the customers, even if the business was to rely on the internet and delivering goods, the location needs to be convenient enough to ship goods from.

The Suppliers as well need to be able to send the goods ordered for in a timely fashion and an improper location can hamper that. Even employees need a place to work in that is conducive for them in terms of logistics and a safe working environment. Charlie should definitely not forget about the importance of location.

g The company plans a 4-for-1 stock split. How many shares will you own and what will the share price be after the stock split?

Answers

Answer: 14,400; $17

Explanation:

Stock splits are a strategy by firms to increase the liquidity of their shares especially when they are trading at a high price. The firm divides the stock by a certain number thus increasing the number of shares by the multiple of the number. This action will divide the price of the stock and thus allow for more trade as they are cheaper.

A 4-for- stock split means that each share will become 4.

Your total number of share will become;

= 4 * 3,600

= 14,400 shares

The new price will be;

= 68/4

= $17 per share

As the workforce becomes more diverse, why does performance appraisal become a more difficult process?

Answers

Answer:

Performance appraisal in a company with diverse workforce becomes difficult because of some cultural biases that may exist between the manager, who is doing the appraisal, and the diverse workforce.  This problem becomes more acute if the manager is culturally biased and discriminatory by practise.

Explanation:

Company A can have a diverse workforce if it is made up of employees from culturally different places working together in the same workplace.  Bias often arises due to human cultural nuisances.  This becomes more obvious where managers are from some particular cultures while the employees are from mixed cultures.  In such situations, the managers need to be retrained to enable them embrace cultural diversity in the workplace and in performance evaluation.

The key cause due to which the performance appraisal becomes problematic due to diversity in the workforce would be:

- Cultural bias

What is performance appraisal?

Performance appraisal is described as the process of reviewing the performances done by the employees in a particular organization to attain its goals and reward them accordingly.

When the workforce of a particular company or organization becomes exceedingly diverse, it becomes problematic to do performance appraisals.

The reason behind this is that this diversity gives rise to cultural biases and may result in discrimination.

Learn more about "Performance" here:

brainly.com/question/22735387

The federal government doesn't have a capital budget; however, private enterprises do have a capital budget and when they invest in productive assets such as machinery it is recorded in their capital budget as an asset. What is one of the explanations why the federal government's investments are not discussed in relation to a capital budget and recorded as an asset like a private enterprise's investments are

Answers

Answer:

Hello the options in regards to your question is missing attached below is the complete question

Answer : Private enterprise's investments are in assets that are meant to increase production, which are going to earn revenues and pay for themselves. Thus, private enterprise's spending is unambiguously going towards investments. It is very difficult to determine when the federal government's spending is an investment. ( B )

Explanation:

The federal government's investments are not discussed in relation to a capital budget and recorded as an asset because It is very difficult to determine when the federal government's spending is an investment, because Federal Government is not actually designed to operate as a business entity

A company has 825 shares of $50 par value preferred stock outstanding, and the call price of its preferred stock is $63 per share. It also has 17,000 shares of common stock outstanding, and the total value of its stockholders' equity is $626,575. The company's book value per common share equals:

Answers

Answer:

Book Value Per Common Share = $33.80

Explanation:

Book Value Per Common Share = Stockholders' equity - Shares * Call Price per shares) / Shares of common stock outstanding

= ($626,575 - 825*63) / 17000

= ($626,575 - $51,975) / 17,000

= $574,600 / 17,000

= $33.80

Speedy Runner makes running shoes and they have gathered the following data for the month of​ October: Data Cash on​ 10/1 Expected Cash Collections Direct Materials Cash Disbursements Direct Labor Cash Disbursements MOH Cash Disbursements Operating Expenses Cash Disbursements Capital Expenditures Cash Disbursements Speedy Runner requires an ending cash balance of at least​ $12,000 and can borrow from a line of credit in​ $1,000 increments. How much will Speedy Runner need to borrow at the end of​ October?

Answers

Answer: $9,000

Explanation:

Speedy Runner will need to borrow the amount of cash disbursements that will exceed their cash receipts.

= Opening Cash + Cash Receipts - Cash Disbursements

= Opening Cash + Expected Cash Collections - Direct Labor Cash - Direct Materials Cash Disbursements - Operating Expenses Cash Disbursements - MOH Cash Disbursements - Capital Expenditures Cash Disbursements ​- Ending cash balance requirement

= 15,300 + 435,000 - 32,000 - 80,000 - 110,000 - 25,000 - 200,000 - 12,000

= $8,700

They can borrow in incremental terms of $1,000 so to cover the cash requirements they should borrow $9,000.

York's outstanding stock consists of 80,000 shares of noncumulative 7.5% preferred stock with a $5 par value and also 200,000 shares of common stock with a $1 par value. During its first four years of operation, the corporation declared and paid the following total cash dividends: 2015 total cash dividends $20,000 ; 2016 total cash dividends 28,000 ; 2017 total cash dividends 200,000 ; 2018 total cash dividends 350,000. Please explain how to journal this.

Answers

Answer:

dividends paid during 2015:

preferred stock dividends = $20,000, dividend per preferred stock = $0.25

common stock dividends = $0, dividend per common stock = $0

dividends paid during 2016:

preferred stock dividends = $28,000, dividend per preferred stock = $0.35

common stock dividends = $0, dividend per common stock = $0

dividends paid during 2017:

preferred stock dividends = $30,000, dividend per preferred stock = $0.375

common stock dividends = $170,000, dividend per common stock = $0.85

dividends paid during 2018:

preferred stock dividends = $30,000, dividend per preferred stock = $0.375

common stock dividends = $320,000, dividend per common stock = $1.60

Since the preferred stocks are not cumulative, any preferred dividends that are not paid during a year will not be paid in future years.

The following data was collected from the manufacturing of an auto component. It represents the diameter (in mm) of that component. What is the LCL for a control chart using this data (z=3)?Sample Obs 1 Obs 2 Obs 3 Obs 41 10 12 12 142 12 11 13 163 11 13 14 144 11 10 7 85 13 12 14 13

Answers

Answer:

9.37

Explanation:

The computation of LCL for a control chart is shown below:-

Sample  Obs 1  Obs 2    Obs 3   Obs 4   Mean observation    Range

1                 10      12           12          14              12                         4

2                 12     11            13          16              13                          5

3                 11      13            14           14              13                          3

4                 11       10            7            8               9                          4

5                13     12             14            13             13                         2

For computing the mean observation  and range we will use the below formulas

Mean observation = ( Obs 1 + Obs 2 + Obs 3 + Obs 4) ÷ 4

Range = Highest value - Lowest value

[tex]LCL = \bar{\bar{X}} - A2 \bar{R}[/tex]

[tex]\bar X[/tex] =  ( 12 + 13 + 13 + 9 + 13 ) ÷ 5

= 12

[tex]\bar R[/tex] =  ( 4 + 5 + 3 + 4 + 2 ) ÷ 5

= 3.6

Since we found the value of A2 with the help of constants table for control charts for a 4 subgroup size.

A2  = 0.729

[tex]LCL = \bar{\bar{X}} - A2 \bar{R}[/tex]

12 - 0.729 × 3.6

= 9.37

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