The annual inverse demand for a year of studies at UK is P(q) = 12,000 - .15q. The marginal cost is $3,000

a. What is the profit maximizing tuition rate and how many student enroll

b. For poorer families, the inverse demand is P(q) = 8,000 - 5q. Is it profitable to offer "need based" scholarships to poorer families? (Determine new P and Q and think in tems of 3rd degree price discrimination)

The variable to be measured is the number of hours a ten year old spend watching videos . Using three distributions-

1 Distribution of a population of an individual

2 Distribution of a particular sample of individuals from the population

3 Distribution of the mean

Explain the difference in these three distribution to some one who has never taken statistics class before.

A mutual fund holds the following assets at the beginning of the year:

9,400 shares of FB, price $180

1250 shares of AMZN, price $1100

1100 shares of GOOG, price $950

The mutual fund has 102,000 number of shares issued at this point. The mutual fund has 1.2% operating expenses, 0.5% 12b-1 fees and a 4% front-end load. Expenses and fees are deducted from assets at the end of the year. At the end of the year, the assets held by the fund are worth $ 4.4m (before expenses) and there are 100,000 shares outstanding. Just before the end of the year, the fund realized $0.3m capital gains and received $0.2m dividends. What is the reported return on the fund?{Provide your answer in %, rounded to two decimals, omitting the % sign. Please show all formulae, solutions and steps.)

a) Identify and list the “real” values of the 4 spending components of GDP for year 2019 from Table 3 (Gross Domestic Product: Level and Change) based on the information provided in the following link: https://www.bea.gov/sites/default/files/2020-09/gdp2q20_3rd_0.pdf

b) Calculate the share/portion (%) of C, I, G and X in GDP. Please show your calculations.

A new edition of a very popular textbook will be published a year from now. The publisher currently has 1,000 copies on hand and is deciding whether to do another printing before the new edition comes out. The publisher estimates that demand for the book during the next year is governed by the probability distribution in the file P10_31.xlsx. A production run incurs a fixed cost of $15,000 plus a variable cost of $20 per book printed. Books are sold for $190 per book. Any demand that cannot be met incurs a penalty cost of $30 per book, due to loss of goodwill. Up to 1,000 of any leftover books can be sold to Barnes and Noble for $45 per book. The publisher is interested in maximizing expected profit. The following print-run sizes are under consideration: 0 (no production run) to 16,000 in increments of 2,000. What decision would you recommend? Use simulation with 1,000 replications.
_________________

For your optimal decision, the publisher can be 90% certain that the actual profit associated with remaining sales of the current edition will be between what two values? If needed, round your answers to whole dollar amounts.

You are a newspaper publisher. You are in the middle of a one-year rental contract for your factory that requires you to pay $500,000 per month, and you have contractual labor obligations of $1 million per month that you can’t get out of. You also have a marginal printing cost of $.25 per paper as well as a marginal delivery cost of $.10 per paper. If sales fall by 20 per cent from 1 million papers per month to 800,000 papers per month,

A. what happens to the AFC per paper? How much is it?

B What happens to the MC per paper? How much is it?

C What happens to the minimum amount that you must charge to break even on these costs? How much is it?

The table below shows your stock positions at the beginning of the year, the dividends that each stock paid during the year, and the stock prices at the end of the year.   Company Shares Beginning of Year Price Dividend per Share End of Year Price   Johnson Controls 300 $ 73.21 $ 1.23 $ 86.07   Medtronic 500 57.87 0.47 53.81   Direct TV 800 25.24 24.69   Qualcomm 300 43.38 0.42 39.22 What is your portfolio dollar return and percentage return? (Round your answers to 2 decimal places.) Portfolio Return   Dollar return $         Percentage return %

Identify at least one of the NPSGs for the most recent year that may have an impact on the QI Case Study.

State the specific goal and pertinent subheading you selected. (For example, Goal 6 – Reduce the harm associated with clinical alarm systems. NPSG 06.01.01 Improve the safety of clinical alarm systems.)

Describe how focusing attention on this NPSG may impact on the QI Case Study.

Part 2 - Joint Commission Case Study

Now, select one of the Case Studies from the Joint Commission training video. Clearly state which one you are using.

Case 1 auto-populated wrong medication name

Case 2 miscalculated weight resulting in wrong dose

Case 3 wrong dose of heparin resulting in brain hemorrhage

Case 4 stat CT order not sent resulting in stroke

Case 5 wrong CT films sent resulting in unnecessary surgery

Identify one of the NPSGs for the most recent year that may have an impact on this Joint Commission Case Study.

State the specific goal and pertinent subheading you selected. (For example, Goal 6 – Reduce the harm associated with clinical alarm systems. NPSG 06.01.01 Improve the safety of clinical alarm systems.)

Describe how focusing attention on this NPSG may impact the Joint Commission case study.

Discuss the role standardization plays in NPSGs.

10.The distribution of vehicles sales in the United States in the year 2000 was the following:

Type of car Small Midsize Large Luxury

% 32.8 44.8 9.4 3.0

A simple random sample of 500 vehicles sales was taken this year and the Distribution is as follow:

Type of car Small Midsize Large Luxury

% 133 249 47 71

At the 5% significant level, do the data provides sufficient evidence to conclude that the distribution of vehicle sales this year has changed from the 2000 distribution?

The mean investment that employees put into their companies 401K per year is $10,000 with a standard deviation of $500. Assuming the investments follow a normal distribution, determine the following.

a. What proportion of employees put between $9,500 and $11,000 into the 401K per year.

b. What proportion of employees put more than $11,500 into the 401K per year?

c. What proportion of employees put less than $11,000 into the 401K per year?

d. What proportion of employees put more than $9000 into the 401K per year?

e. What proportion of employees put between $11,000 and $11,500 into the 401K per Year?