In: Physics
A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal to 25. a) what percentage of scores is between 15 and 25. b) what raw score is the cutoff for the top 10% of scores. c) what is the probability of a score less than 27. d) what is the proportion below 13.
In: Math
4 . Individual Problems 22-1
Suppose that a paper mill “feeds” a downstream box mill. For the downstream mill, the marginal profitability of producing boxes declines with volume. For example, the first unit of boxes increases earnings by $30, the second by $27, the third by $24, and so on, until the tenth unit increases profit by just $3.
The cost the upstream mill incurs for producing enough paper (one “unit” of paper) to make one unit of boxes is $9.50.
Assume the two mills operate as separate profit centers, and the paper mill sets the price of paper. It follows that the marginal profitability of boxes represents the highest price that the box division would be willing to pay the paper division for boxes.. Furthermore, assume that fixed costs are $0 for the paper mill.
The following table summarizes the quantity, total revenue, and marginal costs from the perspective of the paper mill for selling paper to the box mill at various prices.
In the following table, fill in the marginal revenue, total cost, and total profit for the paper mill when selling paper to the box mill at each given price.
|
Price |
Quantity |
Total Revenue |
Marginal revenue |
Total Cost |
Marginal Cost |
Profit |
|---|---|---|---|---|---|---|
|
(Marginal Profitability to the Box Mill) |
(Units of Paper equivalent to One Box) |
($) |
($) |
($) |
($) |
($) |
|
($) |
||||||
| $30 | 1 | $30 | $9.50 | |||
| $9.50 | ||||||
| $27 | 2 | $54 | ||||
| $9.50 | ||||||
| $24 | 3 | $72 | ||||
| $9.50 | ||||||
| $21 | 4 | $84 | ||||
| $9.50 | ||||||
| $18 | 5 | $90 | ||||
| $9.50 | ||||||
| $15 | 6 | $90 | ||||
| $9.50 | ||||||
| $12 | 7 | $84 | ||||
| $9.50 | ||||||
| $9 | 8 | $72 | ||||
| $9.50 | ||||||
| $6 | 9 | $54 | ||||
| $9.50 | ||||||
| $3 | 10 | $30 | ||||
If the paper mill sets the price of paper to sell to the box mill, it will set a price of (_____ ) and sell (______) units of paper to the box mill. Profits will be(_____)
for the paper mill. Companywide profits will be(______). (Hint: Recall that the prices in the table represent the marginal profitability of each unit of paper, or box, to the box mill.)
Suppose the paper mill is forced to transfer paper to the box mill at marginal cost ($9.50).
In this case, the box mill will demand(_____) units of paper. This leads to companywide profits of (_____).
.
In: Economics
Taller basketball players have a theoretical shooting advantage because it’s harder to block them. But can a player’s height determine how well they shoot free throws, where there is no defender?
|
Player Height (cm) |
Free Throw Shooting Percentage |
|
188 |
74% |
|
208 |
80% |
|
186 |
75% |
|
190 |
76% |
|
211 |
85% |
|
205 |
90% |
|
214 |
88% |
|
200 |
80% |
a) Determine the coefficient of determination and interpret its value.
b) What is the equation of the regression line? Keep three decimal places for calculated values.
c) Estimate the percentage of free throws a 200cm tall player will make.
In: Statistics and Probability
Consider Ford Motor Company’s statement that appeared in its 2010 Annual Report:
The company’s four-point plan consists of: balancing our cost structure with our revenue and market share; accelerating development of new vehicles that customers want and value; financing our plan and rebuilding our balance sheet; and working together to leverage our resources around the world.
What are the implications of this strategy for financial management of Ford?
In: Finance
This task requires you to research on how organisations develop and use core competencies/capabilities into their broader business strategy. You are required to make use of appropriate frameworks to identify the core competencies of a chosen company and how this will be matched to the external environment and fit in the strategy of that company. Your example should reflect a pharamceutical company that has clearly identifiable core competencies and where secondary data is also available for analysis by providing a description of the scope of the organisation/company (which includes a brief description of their activities, which sector and industry they operate in and key products, service and customers. It is important for you to describe the context); description of the key core capabilities evident within the organization and how they are being matched to external opportunities and threats in order to contribute to the business strategy; an analysis of the external environment including a thorough analysis of the industry environment and a concise conclusion on how core competencies are linked to the company’s business strategy.
In: Operations Management
A hypothetical society has three income earners, and all three must pay income taxes. The taxable income of Smith is $35,000, the taxable income of Jones is $100,000, and the taxable income of Brown is $200,000.
Complete the following table by computing tax revenue under a proportional income tax when the tax rate is 10% and 15%.
|
Tax |
Tax Revenue |
|---|---|
| 10% | |
| 15% |
Suppose a progressive tax system is implemented with a rate of 5% on income of $0–$40,000, a rate of 8% on income from $40,001 to $100,000, and a rate of 15% on all income over $100,000.
Under a progressive income tax system, a person’s tax rate _______ as his or her taxable income rises. In this case, tax revenue is _____ under the proportional income tax than it is under the newly implemented progressive income tax system.
In: Accounting
Sachs Brands’ defined benefit pension plan specifies annual retirement benefits equal to: 1.6% × service years × final year’s salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2004 and is expected to retire at the end of 2038 after 35 years’ service. Her retirement is expected to span 18 years. Davenport’s salary is $90,000 at the end of 2018 and the company’s actuary projects her salary to be $240,000 at retirement. The actuary’s discount rate is 7%.
a) Estimate by the accumulated benefits approach the amount of Davenport’s annual retirement payments earned as of the end of 2018.
b)What is the company's accumulated benefit obligation at the end of 2018 with respect to Davenport?
c)If no estimates are changed in the meantime, what will be the accumulated benefit obligation at the end of 2021 (three years later) when Davenport’s salary is $100,000?
In: Accounting
DB 3 - Discussion Question
Search the Internet for New Business Startups, successful and not so successful from 2006 to 2014.
Provide links and discussions for at least one successful business startup and one no so successful startup.
In: Economics
What is the USA PATRIOT Act, and what are the four traditional tools of surveillance expanded with the Act?
How has the Reauthorized USA PATRIOT ACT of 2006 changed the legal definitions of terrorism and responded to critiques against the original law?
In: Accounting