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Business Math

Revenue and Cost Problem

Given the following linear revenue function and quadratic cost function for a business firm, calculate the break - even quantity, total revenue, total cost and profit at break even level of production. Total Revenue R= f(q)=30 q Total Cost C= 100+5q+q^2 Find the first derivative using the limits formul


The JG Investment Bank is about to issue a new series of 10 year bonds. The bonds will have a $1,000 face value and will be rated AA by a respected Bond Rating Agency. Currently the yield to maturity on AA rated bonds is 200 basis points above the yield on similar maturity government bonds. The bonds will make annual coupon pa

Statistics - Measuring Quality

I am trying to determine what to use in measuring the quality characteristics of my PC and Laptop business and also how often I should conduct a statistical analysis.

Business Math: Loan for a Laptop

To buy a laptop, Susan receives a $2200 loan at a 5.2% annual interest rate on January 10. The loan is due May 15. The year is not a leap year. Round the answers to the nearest cent (nearest hundredth).

Computing the Empirical Probability

I need you help with the following: This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.

Quantitative analysis: Assignment problem

A certain firm has three different operations that must be assigned to four locations. The profit (in thousands of dollars) associated with each operation at each location is presented below. The firm's vice president would like to assign the various operations so that the total profit is maximized. Find the appropriate assignme

Financial Statements

Part I. Discuss the terms listed below in detail by expanding on the definition as given and explaining in depth why these concepts are important to financial statements. - Generally Accepted Accounting Principles (US GAAP); - International Accounting Standards (IFRS); - Securities and Exchange Commission (SEC); - Annu

Identifying the Probability of Insolvency

Draw a graph of an insurer's probability distribution for total claim costs, assuming that it has expected claim costs of $500 million. Identify the probability of insolvency if the insurer has assets equal to $750 million. Please use a Bell Curve. You are supposed to produce a bell shaped curve, depicting the probability

Operations Management: Purchase vs Make Case Study

Hurst Corporation CASE STUDY Mike Mathers was purchasing manager for the mid-west division of the Hurst Corporation. Shortly before his company was to install an exhaust system in a new construction project, Mike was asked to compare fabricating the pipe with purchasing the pipe from an outside source. Hurst Corporation,

Probability Basics: Expected Revenue

A firm is negotiating with a local club to supply materials for a party. The firm´s manager expects to sell 100 large bags of pretzels fot $3 each or 300 for $2 each; these two outcomes are judged to be equally likely. The expected number of bags sold is 200 = (100+300)/2, and expected price is $2,5 = ($3+$2)/2. The manger then

Random variable and statistical test

Assume that in healthy American men the level of hemoglobin is normally distributed with mean ?=14 and standard deviation ?=1.1. a. What is the probability that a healthy man chosen at random will have a hemoglobin of (i) exactly 14, (ii) between 14 and 15, or (iii) over 16. b. A laboratory wants to check the accuracy of its h

Scenario Analysis

The management of Greensboro Products has been evaluating the risk of the cash flows associated with a proposed new project. The expected net cash flow for year 1 is $50,000. The most optimistic estimate (not expected to be exceeded more than 10 percent of the time) of the year 1 net cash flow is $110,000, and the most pessimi

Euclidean Domains and PIDS

Please help with the following problem. Show that the ring Z[i] = Z[x] / (x^2 + 1) is a Euclidean Domain, under N(n+mi) = n^2 + m^2. Then, conclude that Z[i] is a Principal Ideal Domain.

Efficient Markets Hypothesis

Please help with the following problem. The Efficient Markets Hypothesis holds that markets do not react to news or announcements because by the time the information is disseminated, it has already been anticipated. Accordingly, earnings announcements should not move stock prices because the company's performance has already

Business Math

If you want to save $25,000 for a down payment on a house and you have ten years to save this amount, how much would you need to save monthly to achieve this goal if the interest rate is 5% compounded monthly? What happens if you can increase your interest rate to 8%? Come up with your own example of compound interest different

how to find out gross profit, percent mark up and net profit

Michael, Corey, and Jessica received an SBA loan to start a business. They operated the business for twelve months without agreement on the formal or legal form of ownership and structure. However, they all worked together and contributed equally to the operations. The business makes and sells Aggie Pride Hug Pillows. Read t

A stock is trading at $80

A stock is trading at $80. The stock is expected to have a year-end dividend of $4 per share (D1=$4), is expected to grow at some constant rate g throughout time. The stocks required rate of return is 14%. If markets are efficient, what is the forcast of g?

Business Math: Applying Probability

What are situations in the business world or real life where one would need to calculate or estimate probabilities? From a business perspective, which measurement is more important: the mode, mean, or median?

Statistical measurements using Spreadsheet

a) Construct a scatter diagram for the following data: x 1 2 3 4 5 6 7 8 9 10 y 10 10 11 12 12 13 15 18 21 25 x 11 12 13 14 15 16 17 18 19 20 y 26 29 33 39 46 60 79 88 100 130 Find the coefficient of correlation and the coefficient of determination. Now find the log of y and rec

Create a 3 question survey, using SPSS - The focus is on Brand recall

Remembering an advertisement is great, but does the viewer connect that with the brand name? Recall is an important aspect of purchase intention. To measure how well a nationally branded product is doing with regard to consumer recall, you will complete a study of your choice. Select a Branded product (target product) that

Contingent Liability - Determine the probability of an event

A contingent liability should be created if it probable that the liability will occur and the amount of the loss can be reasonably estimated. How is the probability of an event occurring determined? Is this based on an estimate of the likelihood of the event occurring?

Uniform Distribution..

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.0 minutes. Find the probability that a given class period runs greater than 50.75 minutes. (Round to three decimal)

Applied Research and Statistics

1) As noted in the text, when considering which variables to include in a model, "an almost infinite number of extraneous variables exist" (Cooper & Schindler, 2006, p. 41). Discuss techniques for identifying variables in a problem at your business and what types of variables are dismissed as extraneous. Cooper, D., & Schin

Stats Question

There is a 0.1081 probability that a best-of-seven contest will last four games, a 0.1171 probability that it will last five games, a 0.2466 probability that it will last six games, and a 0.5282 probability that it will last seven games. Verify that this is a probability distribution. Find its mean and standard deviation. Is it

Calculating mean and standard deviation in the given case..

A government agency has specialist who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted message. In standard English text, a particular letter is used at a rate of 5.9% a. Find the mean and standard deviation for the number of times this letter will be found on a typical page of 1800 ch