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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.3 - Problem 50e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.3 - Problem 50e

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# Answer: Consideran inductive definition of a version of

ISBN: 9780073383095 37

## Solution for problem 50E Chapter 5.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 50E

Consideran inductive definition of a version of Ackermann's function. This function was named after Wilhelm Ackermann. a German mathematician w ho was a student of the great mathematician David Hilbert. Ackermann's function plays an important role in the theory of recursive functions and in the study of the complexity of certain algorithms involving set unions. (There are several different variants of this function. All are called Ackermann's function and have similar properties even though their values do not always agree.) involve this version of Ackermann's function.Show that A(1, n) = 2n whenever n ? 1.

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Both benefit.  Diminishing Marginal Utility – trading two things of value, but if you keep getting that something it becomes of less worth to you o Marketing Mix – make decisions based on the mass, not the few  Controllable Factors (the 4 P’s)  Product – Variety, quality, design, features, brand name, packaging, services, warranties  Price – List price, discounts, allowances, payment period, credit terms  Promotion – Channels, location, inventory, transportation, atmospherics  Place – Sales promotion (coupons/rebates), advertising, sales force, public relations, direct marketing, e-commerce o Bring product from one place to another o Market Share – ratio of sales revenue of the firm to the total sales revenue of all firms in the industry, including the firm itself  Market Share % = Sales /Total Market o STP Marketing:  Segmentation – How do we think of the market place Identify all relevant segments if the market  Different consumers/customers, provide different marketing mix  Break up market into groups  Targeting – different purposes & different prices for different audiences. Choose 1 or more of the segments to concentrate on  Positioning – positioning compared to competitors. Position the products in the minds of the consumer  Marketing & Corp. Strategy: o Mission Statements – indication of the company’s values.  Information about products, customers, technology, etc. o Avoid Marketing Myopia  Myopia – cannot see the big picture. Many companies view themselves in production process as supposed to from what the consumer wants o Corporate Goals: must be specific & measurable  Sales Revenue  Profit  Return on Investment  Quality  Social Responsibility o Relative Market Share (RMS) – Firm’s raw market share divided by the raw market share of a firm’s largest competitor  RMS > 1, RMS is the highest/one of the highest in market  RMS < 1, fast growing market, does not create profit immediately (-products)  Star products are often still not profitable, but they produce & learn more from competitors so cost of production is less  Dog Products are in a slow market  Cash Cow products are slow in growth market with highest market share & low production costs  Cash cow invests in all 3 (, star, & dog products), which is known as a success sequence  RMS ≥ 10% = fast growth market o Focus on market growth rate instead of market size because it is more dynamic & future oriented  When market power increases, production costs decrease & entry barriers increase  When you have the highest market share, you have more power (deters competition) o Core Competencies – capabilities resulting from personnel, resources, or functional units that determine the means of achieving sustainable competitive advantage and marketplace success  Sustainable Competitive Advantage – unique strength from consumer’s perspective relative to competitors (quality, service, time, cost, etc.) o SWOT: Strengths, Weaknesses, Opportunities, & Threats of an organization  Determines where business is now, & where it is going o Return on Investment:  Larger market share has greatest influence on ROI  Costs go down  discourages competition  If market is lousy, so is market share  The faster a company moves along the cost curve, the better of  In the short-run they give up profit, but in the long-run they will make profit  need to spend$$ to make$\$ o Product Growth Strategies:  Market Penetration – same product & customers, but try to sell more  Market Development – same product with new customers  Product Development same customer, different product  Diversification – new product & new markets o Budgeting: must be affordable, percentage of sales, optimized, with an objective and task that is competitive  Promotion is necessary to drive sales up  Take a % & put it towards next year’s promotions/advertising  What you do v. what you need to do  Share of Marketing Effort – appropriate market share with budget  Spend more to make more in order to grow  To maintain just balance the budget  1 ½ Rule – amount of market share growth, take market share % X 1.5  Marketing Environment: o Constraining – understanding the environment & how it’s changing (where it is going) o Perspectives:  Control:  Adapt – most often because environment is out of our control  Modify – approach for goal  Threat/opportunity – company can either take advantage of or get rid of the rumors o Environmental Levels:  Marketing Department – 4 P’s with regards to environment  Internal – Top Management personnel & other departments  Micro – customers, competitors, stakeholders, suppliers, channels  Macro – Social, economic, technological, regulatory  Social: Micro-cultures & Diversity – core set of beliefs  Demographics: population size, geographic distribution, age distribution, & household consumption o Population size increased with baby boom which led to greater thinking  Echo Boom  followed baby boom, smaller, but still large growth of people  Had to relate old age with younger age  Population shifted from rural to urban (early 1900s), urban to suburban (1930s-80s), & suburban to exurbs (1990s-2000s)  Fewer babies now because we are focused on careers  50% of families were “traditional” back in 70s  now 25%  Divorce rate is now ~50%  Economic Environment: o Size of Economy  Gross Domestic Product (GDP) – directed towards inflation o Consumer Ability & Willingness to Buy  Ability to Buy:  Gross Income  (Taxes)  Disposable Income  Disposable Income  (necessities)  Discretionary Income o Necessities are different for everyone  Taxes & necessities – impact what we do with money in the future; almost like ‘fixed costs’  Environmental Levels: o It is easy to do business when things are good, but it is important to keep chugging when things are bad (E.g. – Hyundai)  Hyundai gave their cars out during the recession and if customers couldn’t be paid back, they could just return them no charge. Big return for Hyundai o Macro Levels: Social (slower), Economic (faster), Technological (much faster), & regulatory  Regulatory:  Protecting Consumers  Consumerism  Protecting Competition  Political Pressure  Technological Environment (issues):  Television – HD/Digital, TiVo; cuts advertisements  bad for marketing; method of delivery  now can just use web  Telephone – went from only phone calls  Basically everything (portable computer) & ads. Can be delivered based on consumer location  Genetic Engineering – drugs made for specific individuals in the future  Computer & WorldWideWeb – retail and advertising has changed due to social media  Smart Products – integrate more technologies into individual products

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##### ISBN: 9780073383095

The full step-by-step solution to problem: 50E from chapter: 5.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Consideran inductive definition of a version of Ackermann's function. This function was named after Wilhelm Ackermann. a German mathematician w ho was a student of the great mathematician David Hilbert. Ackermann's function plays an important role in the theory of recursive functions and in the study of the complexity of certain algorithms involving set unions. (There are several different variants of this function. All are called Ackermann's function and have similar properties even though their values do not always agree.) involve this version of Ackermann's function.Show that A(1, n) = 2n whenever n ? 1.” is broken down into a number of easy to follow steps, and 95 words. This full solution covers the following key subjects: function, ackermann, version, mathematician, called. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 50E from 5.3 chapter was answered, more than 413 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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