Grouse in Russia show a recessive mutation “short-tail” that causes problems in the control of direction when flying. In 2002 a survey of a large, freely interbreeding, population of 1,856 grouse revealed 142 with short tail feathers.

a) What proportion of the grouse population would you expect to be heterozygous at the short-tail locus

b) What proportion of the grouse population would you expect to be heterozygous at the short-tail locus

c) Due to rising affluence there was an increase in recreational grouse hunting. In a later survey of the grouse over some years it was found that a significant decrease had taken place in the population. In 2003 there were 2,861 grouse and in 2004 there were only 2,369 and all the surviving grouse had long tails. Support by calculation that this change would reflect greater vulnerability of short tail grouse to killing by hunters.

d)After further random mating of survivors what would be the percentage of homozygous dominants, heterozygotes and homozygous recessives expected in the next generation in the absence of any further hunting?

• Use Excel to conduct a regression of the values of the security against the predictors and verify the validity of underlying assumptions
  • Check for homoscedasticity and serial correlation
  • If necessary, rerun the regression using robust standard errors
  • Look for evidence of multicollinearity and eliminate redundant predictors if necessary

The worksheet "grocery" of "Assignment #4-2 (DATA)" gives the median store size (in square feet) by year for grocery stores. Note that this file is the same as the one given in Question 1.

Step 1: Run the simple linear regression and find the slope of the sample regression equation. Give your answer to 4 decimal places.

Answer- .6783

Step 2- According to the sample regression line, a point estimate for the median grocery store size in 2012 is: (Give your answer to 1 decimal place.)

Answer- 49.9

Step 3- The standard error of fit is approximately?? (Give your answer to 3 decimal places.)

How much money would you have by the end of 2019? Problem 4. Hard problem: Suppose that you invested $x in 1980. Plot the amount of money you would have in 2019 for all values of $x between $0 and $100,000. Solve using R Studio

An academic researcher at an accounting symposium once remarked: “A transfer pricing method is much more than simple choice of a price for the transfer of goods from one responsibility center to the other. The choice of a method, coupled with operating capacity of the unit, have at times serious implications for the goals set by the interested parties in the process…. Also, think of the firm’s total profit as a pie. Choice among transfer pricing methods not only changes how the pie is divided among responsibility centers, it also changes the size of the pie itself”.

Required:

Write a one-page essay commenting on the points raised by the researcher. Support your argument/s, wherever feasible, by constructing simple numerical examples.

An academic researcher at an accounting symposium once remarked: “A transfer pricing method is much more than simple choice of a price for the transfer of goods from one responsibility center to the other. The choice of a method, coupled with operating capacity of the unit, have at times serious implications for the goals set by the interested parties in the process…. Also, think of the firm’s total profit as a pie. Choice among transfer pricing methods not only changes how the pie is divided among responsibility centers, it also changes the size of the pie itself”.

Required:

Write a one-page essay commenting on the points raised by the researcher. Support your argument/s, wherever feasible, by constructing simple numerical examples.

Hallstead Jewelers What have we done? Daddy would know what to do, but I don't. I really thought growing this business would be an easy thing for us, but now I am not so sure. All of the work that we did in 2005 was supposed to set us up for new success, profits, and a bright future. But now, we are showing losses on both the historical investment and on our modernization and expansion. Gretchen Reeves was talking in early February 2007 with her sister and partner Michaela Hurd after receiving preliminary income statements for Halstead Jewelers for fiscal year 2006 which had ended January 31, 2007 (See Exhibit 1). In a new building, just renovated in 2005, with 50% more space and selling staff than ever before, the business had experienced a loss almost double the income of the last "normal" year, 2004. To Gretchen, this did not bode well for the future. The sisters' grandfather established Hallstead Jewelers 83 years earlier in the largest city in the tri-state region. For more than 50 years, until his death, he had nurtured and grown the original store from a start up to one of the largest jewelry and gift stores in the United States. Four departments sold almost everything that customers expected in a jewelry and gift store: fine jewelry and gems, watches, tabletop gifts (china and flatware), and artistic gifts. Customers came from throughout the region to buy from extensive collections in each department. Any gift from Hallstead's had an extra cache attached to it. It was presumed to be the best. When Grandfather died, the store was left to his only son, who had literally grown up in the store to become his father's partner in the business. That son was the father of both Gretchen and Michaela. Another child, their brother James, had shunned the business to study medicine and surgery. The girls, however, followed in their father's footsteps and grew up in the store, learning the business. At the death of their father in 2002, the three children inherited the business as equal partners, and by agreement with James, Gretchen and Michaela took over the management of the business and store. At the time of the sisters' assumption of the ownership and management of the store, it was still operating in the original store location on Lake Avenue and Second Avenue. In the late 1930's, Lake Avenue became the most important retail location in the city. The store was improved and provided elegant space for the display and sale of their products. It was a destination-shopping place. The store was remodeled and redecorated again after the founder died, but the location and space remained the same until 2004.

In the meantime, the principal retail shopping areas shifted two blocks west to Washington Street. Stores were larger there and could accommodate department stores and larger specialty retailers. But reputation and selection still brought customers to Lake Avenue for the selections at Hallstead's. Shopping centers were developed in suburban locations, but Hallstead Jewelers stayed put. The sisters’ father saw the changes in the retail landscape, but he took no action because of them. Hallstead's was a one-store seller at its original location, in many ways an anachronism. By the time the sisters assumed management, there were signs that it might be time for changes. Sales had been stagnant since 1999 or so, and profits were slipping. One of the sisters' first ideas was to look for another or several locations. A consultant said that they needed more space and a fresh store look. Expansion was impossible without moving, and although a move might entail some risk, he recommended that they look toward a larger location on Washington Street. They made some changes in product offerings that offered more sales potential at the cost of minor reductions in margins. In 2004 a large toy seller with more space abandoned the corner of Washington Street and Second Avenue. The sisters wasted no time in signing a new five-year lease and starting extensive and expensive renovations. Since the new store was only two blocks from the original location, Gretchen and Michaela were confident that their loyal customers would find and follow them. Renovations and moving took most of 2005, and they started 2006 in the new store. They laughed about 2005 being a "lost" and "loss" year, but they were sure 2006 would bring a new day to Hallstead's. The retail jewelry business was changing. Tiffany & Company, a business with an origin much like Hallstead Jewelers, had grown into an international powerhouse. With their "blue boxes" they had become the largest diamond seller in the United States. At the same time, a start- up internet seller named Blue Nile, founded in the infancy of the World Wide Web a decade earlier was the second largest diamond seller in the United States. The sisters had not had time to think about what those trends meant for Hallstead's. But as fiscal 2006 ended and the preliminary income statement was in, both Gretchen and Michaela knew something more had to be done. They wanted to figure out what had happened between 2004 and 2006, and they wanted to explore ideas about changes in strategy that would return the business to profitability and a brighter future. Their accountant suggested that the move to a new location had changed the economics of their business somewhat, and that further changes in promotion might be in order. Increasing advertising might bring in more customers, or changing pricing formulas to fend off new internet jewelry competitors might be considered. The sisters put together some questions that they asked the accountant to analyze for them using some additional operating statistics that they had at hand (Exhibit 2).

Exhibit 1 Hallstead Jewelers; Income Statements for Years Ended January 31 (thousands of dollars) 2003 2004 2006 Sales $8,583 $8,102 $10,711 Cost of goods sold 4,326 4,132 5,570 Gross margin $4,257 $3,970 $ 5,141 Expenses Selling expense Salaries 2,021 2,081 3,215 Commissions 429 405 536 Advertising 254 250 257 Administrative expenses 418 425 435 Rent 420 420 840 Depreciation 84 84 142 Miscellaneous expenses 53 93 122 Total expenses $3,679 $3,758 $ 5,547 Net income $ 578 $ 212 $ (406)

Exhibit 2 Hallstead Jewelers Operating Statistics 2003 2004 2006 Sales space (square feet) 10,230 10,230 15,280 Sales per square foot $ 839 $ 792 $ 701 Sales tickets 5,341 5,316 6,897 Average sales ticket $ 1,607 $ 1,524 $ 1,553.

1. Prepare the breakeven point for the years 2003, 2004 and 2006. Calculate the Margin of Safety for each of the years?

2. The following proposals are included the discussion questions of the case (refer to questions 2, 3 and 4 for more details):

a. The Consultant: Reduce price to increase traffic. Reduction in price of 10% will bring the number of tickets to 7,500.   

b. Gretchen: Eliminate sales commission.

c. Michaela: Increase Advertising by $200,000.

For each proposal, calculate operating income and breakeven point.

3. Based on your overall analysis, what market strategies should Hallstead Jewelers adopt? What combination, if any, of the proposals should they consider? Reminder, you cannot assume that they can magically go back to how things were on 2004.

4. What other non-financial business aspects should Hallstead Jewelers consider as part of their strategy for 2007?

Suppose the Consumer Price Index in 2016 is 127.1 with 2002 as the base year

a. What is the purchasing power of the dollar compared to 2002

b. What is the real income relative to 2002 of the person whose income was $72500

Selected balance sheet account balances are:                                             VIZQUEL COMPANY

                                                                                                                                December 31

                                                                                                                   2002                                      2001

Cash                                                                                                     $ 200,000                             $ 300,000

Accounts Payable                                                                                   60,000                                   80,000

Accounts Receivable                                                                            180,000                                 140,000

Salaries Payable                                                                                      12,000                                     6,000

Land                                                                                                        120,000                                 140,000            

Merchandise Inventory                                                                        100,000                                 160,000

Prepaid Rent                                                                                            50,000                                  45,000

Unearned Consulting Revenue                                                             70,000                                   50,000

Income statement items for the year are:

Sales                                                                                                       $800,000

Consulting Fees                                                                                    $200,000

Cost of Goods Sold                                                                             400,000              

Salary Expense                                                                                        90,000

Depreciation Expense                                                                             40,000

Rent Expense                                                                                       100,000

Cash collections from customers during 2002 amounted to:

Cash received from consulting services during 2002 was:

Total cash collected amounted to:

Cash payments to suppliers for merchandise inventory during 2002 amounted to:

Cash payments for salary during 2002 amounted to:

Cash payments for rent during 2002 amounted to:

Cash payments for depreciation during 2002 amounted to:

Total cash paid for operating activities amounted to:

Cash from operating activities during 2002 is:

Net income for Vizquel Company

For a unique solution to the wave equation, what boundary conditions must be satisfied.

a) Boundary conditions are not needed for a medium with no interfaces.

b) This is a trick question; all boundary conditions must be satisfied.

c) The tangential boundary conditions

d) The normal boundary conditions

e) Continuity in solution across the boundary must be satisfied.

T F (1)The loss tangent is related to the ratio of the conduction current density to the convection current density in the complex domain. The conduction current density lies on the vertical axis and the convection on the horizontal axis.

T F (2)Paramagnetic and diamagnetic mediums are linear magnetic mediums.

T F (3) Although the electric field is conservative in electrostatics, it is not conservative for time varying fields even at 1 Hz.

T F (4) If the curl of a vector is zero, the vector is not necessarily conservative.

T F (5) At high frequency, the principles of simple circuit theory, namely the cause and effect relation, breakdown.

T F (6) For motional emf, the magnetic flux density is measured in the laboratory frame of reference. The electric field is measured in the moving frame of reference using clocks and rulers in the laboratory frame of reference.

T F (7)Moving conductors in magnetic fields cannot conduct electricity or store energy in the electric field without another conductor to close the circuit path.

T F (8)Under high voltage conditions, pockets of air in a bushing separating two electrodes may result in breakdown in the bushing because dielectrics tend to expel some components of the electric field into the air pocket.