A single gene in horses determines coat (hide) color. Palomino (‘dove’) horses are heterozygous (Aa), while homozygous recessive (aa) are cremello, and homozygous dominant (AA) are chestnut. A horse rancher buys 80 palomino horses and 20 cremello horses and lets them breed free.

(a) What are frequencies of alleles and genotypes in THIS (parent) generation? Are all genotypes represented? Show your calculations. Is the population at this moment (i.e. in THIS generation) in Hardy-Weinberg balance or not? Explain.

(b) What would be frequencies of alleles and genotypes in NEXT (children) generation if one assumes Hardy-Weinberg balance? (no selection, new mutation, migration, etc.) Show your calculations.

(c) Now assume (for the purpose of the problem) that Hardy-Weinberg balance is violated by selection against cremello horses (which leave less offspring). Relative fitness of both chestnut and palomino is WAA = WAa = 1.0, but relative fitness of cremello, Waa = 0.8 (which means that selection coefficient s= - 0.2). What are frequencies of alleles and genotypes in NEXT generation?

You are the manager of a 40 head broodmare farm. The mare’s average weight is 1,000 lbs. ➢ You know the mares in early lactation require: 28.3 Mcal DE, 3 lbs Crude protein, 50 g Ca, 34 g P. ➢ You go to the local feed store and purchase a feed that sells of $8.50/50 lb bag. ➢ The nutrient make up of the feed is: 13.5% CP, 0.5% Ca, and 0.44% P. By the fiber content you estimate the DE to be around 1.3 Mcal/lb. ➢ You feed 1% bwt in grass hay (7% CP, 0.8 Mcal DE/lb, 0.4% Ca, 0.2% P) A. How much of the commercial feed must you feed to meet the mares’ requirements (per head, per day)? 21.76 B. If the hay costs $40/ton, what is the monthly cost to feed these 40 mares, in early lactation (grain cost is given above)? a. Hay b. Grain c. Total

9. During the past six years, **** has graduated a population average of µ = 43 percent of the freshmen who were admitted with a population standard deviation of σ = 5. An experimental new advising program was tried on a sample of n = 49 students and an average of M = 45 percent graduated within six years. Perform a hypothesis test to determine if significantly MORE students in the new advising program graduated when compared to the population mean. Please follow the four steps and compute the effect size (cohen’s d), and please interpret the results. (Note: one-tailed hypotheses test should be performed)

a. T=2.8, reject null. Cohen’s d=0.5, medium effect.

b. Z=2.8, failed to reject null. Cohen’s d=0.8, small effect.

c. T=2.8, reject null. Cohen’s d=0.2, large effect.

d. Z=2.8, reject null. Cohen’s d=0.5, medium effect.

An article stated, "Surveys tell us that more than half of America's college graduates are avid readers of mystery novels." Let p denote the actual proportion of college graduates who are avid readers of mystery novels. Consider a sample proportion p̂ that is based on a random sample of 210 college graduates.

(a) If p = 0.6, what are the mean value and standard deviation of p̂? (Round your answers to four decimal places.)

If p = 0.7, what are the mean value and standard deviation of p̂? (Round your answers to four decimal places.)

(b) Calculate P(p̂ ≥ 0.7) for p = 0.6. (Round your answer to four decimal places.)

Calculate P(p̂ ≥ 0.7) for  p = 0.7.

During the 1940s, military ships from the South Pacific accidentally introduced brown tree snakes from Australia to the island of Guam. These snakes eat birds, lizards, and small mammals in their native range of Australia. Since no species on Guam eats the snakes, their population has grown rapidly. Researchers estimate that two million tree snakes now inhabit the island. So far, 10 species of birds and 5 species of lizards have disappeared from Guam; small mammals have also decreased in abundance.

Use this information and your knowledge about biology to answer questions 1 – 5

1. Since the brown tree snake is a keystone species in Guam, it must also be a keystone species in Australia. True or false?

2. Native predators of birds on Guam likely decreased in abundance after brown tree snakes arrived. True or false?

3. If birds on Guam usually disperse seeds, brown tree snakes likely had a negative indirect effect on plants. True or false?  

4. Since more prey and fewer predators occur on Guam than in Australia, the density of brown tree snakes in Guam likely exceeds the density in Australia. True or false?

5. If some species of the now-extinct lizards used to eat bird eggs, brown tree snakes had a positive direct effect and a negative indirect effect on birds. True or false?

This is also the information provided

The Empire Hotel is a full-service hotel in a large city. Empire is organized into three departments that are treated as investment centers. Budget information for the coming year for these three departments is shown as follows. The managers of each of the departments are evaluated and bonuses are awarded each year based on ROI. Empire Hotel

Hotel Rooms Restaurants Health Spa

Average investment $ 8,148,000 $ 4,761,000 $ 1,025,000

Sales revenue $ 10,000,000 $ 2,000,000 $ 600,000

Operating expenses 8,775,000 1,359,000 402,000

Operating earnings $ 1,225,000 $ 641,000 $ 198,000

Required:

a. Compute the ROI for each department. Use the DuPont method to analyze the return on sales and capital turnover. Assume the Health Spa is considering installing new exercise equipment. Upon investigating, the manager of the division finds that the equipment would cost $40,000 and that operating earnings would increase by $8,000 per year as a result of the new equipment.

b-1. What would be the ROI of investment in the new exercise equipment and Health Spa?

b-2. Would the manager of the Health Spa be motivated to undertake such an investment?

c-1. Compute the residual income for each department if the minimum required return for the Empire Hotel is 17 percent.

c-2. What would be the impact of the investment on the Health Spa's residual income?

Violet Sky Entertainment is evaluating the trampoline park project, a 2-year project that would involve buying equipment for 54,000 dollars that would be depreciated to zero over 2 years using straight-line depreciation. Cash flows from capital spending would be $0 in year 1 and 5,000 dollars in year 2. Relevant annual revenues are expected to be 83,000 dollars in year 1 and 83,000 dollars in year 2. Relevant expected annual variable costs from the project are expected to be 10,000 dollars in year 1 and 10,000 dollars in year 2. Finally, the firm has no fixed costs in year 1 and one fixed cost in year 2 of the project. Yesterday, Violet Sky Entertainment signed a deal with Indigo River Marketing to develop an advertising campaign. The terms of the deal require Violet Sky Entertainment to pay Indigo River Marketing either 55,000 dollars in 2 years from today if the trampoline park project is pursued or 27,000 dollars in 2 years from today if the trampoline park project is not pursued. The tax rate is 40 percent and the cost of capital for the trampoline park project is 17.97 percent. What is the net present value of the trampoline park project?

In 2014 Vail Resorts, Inc. (MTN), purchased Park City Mountain Resort for $182.5 million. Vail also announced it would invest another $115 million for resort upgrades, which included $50 million to link the Park City Mountain Resort to Vail's neighboring Canyons Resort. This would create one of the largest ski resorts in the United States, with over 7,000 acres of skiable terrain.

Interestingly, the opportunity to purchase Park City Mountain Resort arose because the previous owners missed the deadline to renew their 20-year lease of the property by two days. The unexpected option to purchase the resort led top management to engage in capital budgeting analysis to see if the massive expenditure necessary for the purchase and upgrade of the Park City Mountain Resort would pay off.

Instructions

1. What estimates would be needed for Vail to perform a net present value analysis of whether to buy the Park City Mountain Resort?

2. What uncertainties would Vail have to consider about these estimates?

3. What metrics are available to external stakeholders for use in assessing Vail's capital budgeting decisions?

Note: use proper citations when necessary.

The Gold Bay Hotel is in the process of developing a master budget and Pro-forma financial statements. The beginning balance sheet for the current fiscal year is estimated to be

Gold bay Hotel Estimated Balance sheet current year

During the year the hotel expects to rent 30,000 rooms. Rooms rent for an average of $ 90 per night. The hotel expects to sell 40,000 meals during the year at an average price of $ 20 per meal. the variable cost per room rented is $ 30 and the variable cost per meal is $8. The fixed costs not including depreciation is expected to be $ 2,000,000. Depreciation is expected to be $ 500,000. The hotel also expects to refurbish the kitchen at a cost $ 200,000. Which is capitalized ( included in the facility account). Interest of the note payable is expected to be $ 50,000 and $ 100,000 of the note payable will be retired during the year. The ending accounts receivable amount is expected to be $ 40,000 and the ending account payable is expected to be $ 30,000.

Required

Prepare Pro-forma financial statement for the end of the current year.

The Empire Hotel is a full-service hotel in a large city. Empire is organized into three departments that are treated as investment centers. Budget information for the coming year for these three departments is shown as follows. The managers of each of the departments are evaluated and bonuses are awarded each year based on ROI.

Required:

a. Compute the ROI for each department. Use the DuPont method to analyze the return on sales and capital turnover.

Assume the Health Spa is considering installing new exercise equipment. Upon investigating, the manager of the division finds that the equipment would cost $40,000 and that operating earnings would increase by $8,000 per year as a result of the new equipment.

b-1. What would be the ROI of investment in the new exercise equipment and Health Spa?

b-2. Would the manager of the Health Spa be motivated to undertake such an investment?

c-1. Compute the residual income for each department if the minimum required return for the Empire Hotel is 17 percent.

c-2. What would be the impact of the investment on the Health Spa's residual income?