Explore BrainMass

Explore BrainMass

    Business Calculus

    Business Calculus is traditional calculus applied to business scenarios and situations. Calculus is one of the most useful mathetmatical techniques that generally calculate change. Calculus can generally be divided into differential and integral calculus both with their own specific applications. An important application to differential calculus is in optimization. Often times patterns of behaviour and relationships between various variables are described by continuous functions and in order to optimize (such as for a maximum or minimum) one needs to use differential calculus. Differential calculus uses derivatives to find the changes in an graph via the derivative function. When applied to business, it can be used to make calculations to determine optimal prices or optimal cost structures to maximize profits. Integral calculus, sometimes called the antiderivative, is often used in more complicated calculations. It can be visualized as the sum of the area underneath a particular curve. 

    Here is an example of a business calculus question:

    A company sells computers for $1,650 each. The cost function for the production of computers is: C(x) = 5000 + 50x + 4x²

    How many computers should the company produce assuming all produced computers are sold? 

    Hint: This problem involves optimizing the profit function to a maximum by using derivatives. 

    © BrainMass Inc. brainmass.com May 26, 2020, 1:40 pm ad1c9bdddf

    BrainMass Solutions Available for Instant Download

    Setting up an investment optimization problem

    Financial Analysts, Inc. is an investment firm that manages stock portfolios for a number of clients. A new client has just requested that the firm handle an $80,000 portfolio. As an initial investment strategy the client would like to restrict the portfolio to a mix of the following two stocks: Stock: Oil Alaska Price/sha

    Cash Flow for EOY or MOY

    If an alternative has monthly payments of $10,000 a month for three years with a purchase price of $75,000 at the end of year three, what would the cash flow diagram look like? Select the correct choice from each pair of answers. $120,000 EOY 1 $120,000 MOY 1 $120,000 EOY 2 $120,000 MOY 2 $120,000

    Utility Index and Selecting Choices based on Utility

    Part 1 Entrepreneur Jones has a utility index of 5 for a loss of $1,000, and 12 for a profit of $3,000. He says that he is indifferent between $10 for certain and the following lottery: a 0.4 chance at a $1,000 loss and a 0.6 chance at a $3,000 profit. What is his utility index for $10? Part 2 Suppose that Smith has a uti

    Managerial Economics Discussion Questions

    1. Do you mow your own lawn or do your own cleaning (if you do not have a lawn)? Use the concept of trade-offs to explain why you make the choice you made. Why might your choice be different than someone like Bill Gates or Oprah Winfrey? Are their trades-offs different from yours? Explain. 2. Briefly describe an example of a

    Managerial Economics

    1. Assume that a competitive firm has the total cost function: TC = 1q3 - 40q2 + 890q + 1800 Suppose the price of the firm's output (sold in integer units) is $600 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integ

    Ethical Lessons

    In her book, Laura Nash (1993) states: Managers have seen the high costs that corporate scandals have exacted: heavy fines, disruption of the normal routine, low employee morale, in creased turnover, difficulty in recruiting, internal fraud, and loss of public confidence in the reputation of the firm"(page 2). She wrote this in


    1. What pitfalls must you recognize when working with data that is utilized in the statistical analysis you are conducting? 2. What are the potential pitfalls in comparing a company's indirect cost to the rate of another firm? 2a. Why evaluate risk in analysis plan development? 3. What major challenges do you face in th

    Quality Control & Supply Chain Management

    Locate a firm that incorporates the fixed order quantity system, fixed order period system, or a hybrid system to its management of inventory. * Identify the type of inventory system it uses. * Indicate the type of inventory issues the firm has such as stock out costs, carrying costs, order quantity issues, safety s

    Article about Effectiveness of Video Streaming Teaching

    See attached file. Questions: Review of Previous Research - How closely is the literature cited in the study related to previous literature? - Is the review recent? See the attachment. - Are there any seminal or outstanding references you know of that were left out? Problem and Purpos

    Test if video steaming as effective as face to face instruction

    Please see attached file. Sample - Was the sample selected in such a way that you think it is representative of the population? - Is it clear where the sample came from and how it was selected? - How similar are the participants in the study to those who have been used in similar studies?

    Presentation to Business Forum on Business Ethics

    Business Ethics present the most moral theories, I would like to contrast the different views on moral theories that may have on capitalism and business. I also would like to state as to whether any of them approve profit making business.

    Rondo Debt (Bank Loan and Mortgage Bond)

    Rondo Common Stock Rondo Debt (Bank Loan and Mortgage Bond) In my mind, this is the core topic in financial analysis / valuation. The value of an asset, any asset, is the present value of its projected (future) earnings. Simple enough, huh? The key word here is projected. That is the word that makes finance an art, not a sci

    Calculus & functions

    Production function: Q=25LK Q = quantity produced in 1 month L = number of workers with monthly wage of $3,000 each K = number of machines with monthly rental of $6,000 each there are 25 workers and 40 machines (assume perfect divisibility between labor & machines) a. what is current average product of labor? wha

    Business Decision Making: Irrational Decisions.

    Decision Making: Irrational Decisions. Length 6-8 paragraphs Due: 6/18/2009 Please let me know if you would like to work on this, thank you. Do a bit of research on the differences between rational and irrational decision making. These terms aren't static and are relatively fluid (in other words our interpretation of what is

    Hewlett-Packard Case Study

    2. Case Study Analysis Based on the attached PDF file see the Hewlett-Packard-Supplying the DeskJet Printer in Europe case study located at the end of the attached file,Prepare a 1,050- to 1,400-word analysis pertaining to the selected (HP)company in which you address the following: a. Summarize the case. b. Determine which

    Theories of Utilitarianism, Deontological and Virtue Ethics

    The attached chart or graph is a comparison of the three ethical theories of utilitarianism, deontological, and virtue ethics in terms of definition, ethical thinker associated with the theory, decision-making process and workplace example. References included.

    Business Application of Regression Model Equation

    1. WordMath is a new type of software that allows users to do symbolic mathematicl analysis (such as calculus) from within word processing software. There are two versions of the software: (i) a basic version and (ii) an advanced version. The advanced version provides more functions than the basic version. Both versions cost

    Legal & Ethical Implications of Changes in Congress

    Background: Some DWI employees have opposed proposed changes in FCC regulations that will allow for more mergers overall in the print media and TV industry, permitting consolidation of up to 45% control in a geographic market prior to the FCC prohibiting further consolidation of media assets. The Editor of Consumer Reports magaz

    Saray Perez vs Wyeth Laboratories, Inc

    On what legal grounds did the court in Saray Perez v Wyeth Laboratories, Inc. decide whether or not the learned intermediary rule applies to pharmaceutical drugs advertised directly to consumers?

    Healthcare related economics and accounting

    Hello BrainMass OTAs We need your expertise with these questions Our study group is working on these pre exam questions and are comparing results. Please carefully review and answer these multiple questions. We will provide a rating after checking responses. Use the attached material to answer question 9. 1. An in

    Healthcare Organizations and inventory control

    "Once you identify your physical inventory status, a popular idea used in business to help evaluate your inventory control process is the inventory turnover rate (or ratio) - a topic discussed earlier in McLean in the financial statement analysis chapter. In general business, the inventory turnover ratio is defined as sales div

    Quantitative Methods

    A calculus instructor uses computer aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained. Following is a record of the number of students in a class of 20 who took the test each number of times. Students Number of tests 10


    I am part of a company who has made the strategic decision to acquire another company. There are two possible implementation strategies for this decision: A. Merge the acquired company into your company. The result of this strategy will be one company containing the elements of both companies. What are the pros and cons

    Corporate Ethics Posting: evaluate response

    Write a intellectual response, in APA format if outside sources are used, to the following post...... Justify your answers based on A.) "How" you arrived at your answer(s) B.) "What" facts and sources you reviewed and considered C.) "Why" your response is the best one from all the alternatives __________________

    Paper Company Inventory Management and Economic Order Quantity (EOQ)

    A paper company uses approximately 1000 cartons of paper a month. The company charges $30 delivery charge per order. The company charges $1.50 per carton per month to cover storage, deteriation etc... Please see part 1 and 2. The instructions were to fill out the table. Part 1. Order size 100 200 250 500 Order per

    Operations Management and Process Analysis

    The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory is a bathtub with 50 gallons of capacity. The drain is the outlet to the market and can output 3 gallons per hour wide open. The faucet is the raw material input and can let material in at a rate of 4

    Merging vs. Operating Two Different Companies

    I am part of a company which has made the strategic decision to acquire another company. There are two possible implementation strategies for this decision: (A) Merge the acquired company into my company. The results of this strategy will be one company containing the elements of both companies. (1) What are