(Rock transshipment problem) Bamm Mining Company is currently extracting rock from two mines. Once it is              taken from the ground and loaded on a truck, it is sent to one of two plants for processing. The processed rock               is then shipped to one of three builders’ supply stores, where it is sold for landscaping purposes. The cost of         transportation, the supply available at each mine, and the processing capacity of each plant are given in the        following table.

              Cost per Ton for Shipping

              The cost of shipping from each processing plant to each store and the daily demand are as follows:

              Cost per Ton for Shipping

              Formulate a linear program that can be used to determine how to meet the demands of the three stores at the least cost. (Please define variables and set up the objective function and constraints of this problem using LP) (5 points)

6.

Question 6

John Jones is deciding on one of two career choices, before retiring in 40 years time.

Choice 1

John can go to a prestigious graduate school for two years and obtain a degree. Including tuition and living expenses, he expects to pay $75,000 at the end of each year for two years while at school. After graduating, he expects to land a demanding job that pays $150,000 at the end of the third year, and grows at a constant rate of 5% each year (so at the end of the fourth year he expects 150,000*1.05 etc.) He will retire in 38 years after finishing graduate school.

Choice 2

John can continue in his present job. He expects to be paid $84,000 at the end of the year, and expects his salary to increase by 6% every year, paid at the end of each year. He expects to work for 40 years before retiring.

If John’s discount rate is 10%, which career choice should he pursue?

conclusion summary at the end show formulas

For each employee, first calculate gross pay. Then determine taxable income used to calculate federal income tax withholding, Social Security tax, and Medicare tax.

NOTE: For simplicity, all calculations throughout this exercise, both intermediate and final, should be rounded to two decimal places at each calculation.

1:An employee works 42 hours (42 - 40 were overtime hours) during a workweek in December of 2017. He earns $40.50/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $126,600 during the year. He has requested that his employer withhold 7% of gross pay, which is to be contributed to a 403(b) plan.

Taxable income for federal income tax withholding = $
Taxable income for social security tax = $
Taxable income for medicare tax = $

2:. An employee works 37 regular hours during a workweek in August of 2017. He was hired four years ago, earns a salary of $135,100/year, and is exempt from the overtime provisions of the FLSA. To date, he has received no compensation beyond his annual salary. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan.

Taxable income for federal income tax withholding = $
Taxable income for social security tax = $
Taxable income for medicare tax = $

3:An employee works 50 hours (50 - 40 were overtime hours) during a workweek in December of 2017. He earns $9,500/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $109,700 during the year. He has requested that his employer withhold 13% of gross pay to contribute to a 403(b) plan.

Taxable income for federal income tax withholding = $
Taxable income for social security tax = $
Taxable income for medicare tax = $

For each employee listed, use the wage-bracket method to calculate federal income tax withholding. Refer to Appendix A, 2017 Federal Tax Tables in your textbook.

NOTE: For simplicity, all calculations throughout this exercise, both intermediate and final, should be rounded to two decimal places at each calculation.

1:Paul Yount (married; 7 federal withholding allowances) earned weekly gross pay of $605.

Federal income tax withholding = $

2:Paulina Robinson (single; 3 federal withholding allowances) earned biweekly gross pay of $1,245. She contributes $75 to a flexible spending account during the period.

Federal income tax withholding = $

3:Lacey Kunis (single; 2 federal withholding allowances) earned monthly gross pay of $3,090. For each period, she makes a 401(k) contribution of 11% of gross pay.

Federal income tax withholding = $

4:Francine Stewart (married; 4 federal withholding allowances) earned semimonthly gross pay of $1,420. She contributes $125 to a cafeteria plan during the period.

Federal income tax withholding = $

Question 1

Simon Dlamini is enrolled for a course in quantitative methods at his home university. Simon lives on the Atlantic seaboard and loves surfing. Every swell is a good reason not to study – and as a result he is not performing too well in his course.

The course is assessed via three assessments: a take home assignment (20%), a mid-term test (30%) and a final test (50%). He has already received his home assignment and mid-term test results and knows what he should get for his final test in order to pass the course. Simon managed to get his hand on the results of a previous class, and based on these results he would like to estimate what his final test mark could be. The results of the previous class are shown in the table below.

1. Decide which linear regression model (with the assignment grade (A) or Midterm (M) or both as independent variable) is the better model to describe the final test score and motivate your selection.

The remaining answers must be based on the model that you have selected in a.

2. What is the total variation in final test grade that is explained by the independent variable(s) that you have selected?

3. Is the overall regression model statistically significant? Test at the 5% level of significance using the model that you have selected in a. For this test formulate the appropriate null and alternative hypothesis, determine the region of acceptance, use an appropriate test statistic and draw the statistical and management conclusions.

4. Write down the linear regression equation in algebraic format using A for the assignment grade, M for the midterm grade and F for the final test grade.

5. Compute Simon’s expected final test grade (out of 50) if he scored 12/20 for his assignment and 13/30 for his midterm test.

6. Compute the 95% confidence interval of the mean test grade for Simon (with his 12/20 assignment grade and 13/30 midterm test grade). Comment on his likelihood of passing the course.

Part A:

You buy 500 shares of stock at a price of $94 and an initial margin of 50 percent. If the maintenance margin is 40 percent, at what price will you receive a margin call? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Margin Call Price:

PART B

You purchase 650 shares of 2nd Chance Co. stock on margin at a price of $45. Your broker requires you to deposit $17,500.

a. Suppose you sell the stock at a price of $50. What is your return? What would your return have been had you purchased the stock without margin? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

With Margin: %

Without Margin: %

b. What is your return if the stock price is $44 when you sell the stock? What would your return have been had you purchased the stock without margin? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

With Margin: %

Without Margin: %

Studies have shown that the frequency with which shoppers browse Internet retailers is related to the frequency with which they actually purchase products and/or services online. The following data show respondents age and answer to the question “How many minutes do you browse online retailers per week?”

1. Use Data > Data Analysis > Correlation to compute the correlation check the Labels checkbox. Show work in excel.

2. Use the excel function =CORREL to compute the correlation. If answer for #1 and 2 do not agree, there is an error. Show work in excel.

1. A random sample of eight auto drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experience (in years) and the monthly auto insurance premium (in dollars).

a) Find the regression of Monthly Auto Insurance Premium on Driving Experience and write down the least squares regression model.

b) Give a brief interpretation of the value of the slope calculated in part a.

c) Is the slope significant? Explain.

d) Predict the Monthly Auto Insurance Premium for a driver with 10 years of driving experience.

e) Calculate the correlation coefficient and interpret its meaning.

f) Is the linear correlation coefficient between both variables significant? Explain.

g) Calculate the coefficient of determination and explain its meaning.

h) Draw a scatter diagram of the two variables and show the regression model obtained in part a.

23. Chastain company assigned $115,000 of direct labor and $25,000 of indirect labor to production. the journal entry to record this transaction is??

42.

Robot Toy Company manufactures two products, Techman and Mechman. Robot's estimated overhead costs for next year are

Machine set up cost pool: $200,000

Machining cost pool: $450,000

Inspecting cost pool: $150,000

Estimated use of cost drivers for next year are

inspections

Total: 1500 inspections

Techman: 800 inspections

Mechman: 700 inspections

what is the activity based overhead rate for inspections?

A. $214 per inspection

B. $188 per inspection

C. $100 per inspection

D. $50 per inspection

43. which element of throughput time adds value to the product?

A. waiting time

B. moving time

C. Processing time

D. inspection time

44. Which of the following is not a product level activity?/

A. product design

B. product engineering changes

C. property taxes

Brian plays golf regularly and would like to test the hypothesis that the number of golf balls that he loses during a round follows the Poisson distribution with an average of 2.0 balls per round. To test this hypothesis, he has collected the following lost ball data from a random sample of rounds.

Perform this hypothesis test using α = 0.05.

Gillette claims that their double-edge shaver is better than the leading brand of single-edge shavers (Lady Bic). In a recent study, 26 women rated the Gillette and the Lady Bic shavers on smoothness, closeness and safety. One group of women were used and each woman recorded two scores. The mean difference of those scores were tested with the following results.

                                                          Critical Value…………… t = 1.645

Test statistic ..................... t = 1.978

P-value..............................   =   . 031

Significance level ……........... =   .05

Use the above information to answer questions 1-10.

_____ 1) The study design is

           a) pre-test/posttest        b) one-sample dependent mean     c) two-sample mean

_____ 2) What numbers are being compared in the test?

                  a) average difference and zero    b) means     c) standard deviations    d) critical values

_____ 3) Which number from the computer output is compared to the significance level     

                  to check if the null hypothesis should be rejected?

                  a) degrees of freedom    b)   test statistic      c) P-value         d) critical value

_____ 4)   What type of conclusion error could be made using the results of this study?

                 a) type II                b)   none            c) type III                            d) type I

_____ 5) Was a right, left, or two-tailed test run to support Gillett’s claim?

                 a) left                     b) right               c) two-tailed                     d) not enough information

_____ 6) Would there be a statistically significant difference between the means if the   

                significance level were set at .01?

                a) yes                       b) no               c) if it was a one-tail test     d) not enough info

_____ 7) List the p-value if a two-tailed test was run.

                a) .031                     b) .95                 c) .062                              d) .0001

_____ 8) Which number from the output shows the predetermined probability of a type-I error.

                a) significance level        b)   test statistic        c) critical value    d) P-value

_____ 9) Have you proven that one razor is better that the other?

                a) no                                  b) yes                      c) not enough info    d) depends on p-value

_____10) What unit of measure does the 1.978 represent? ____________________________