3. Ms. Liu wants to add more information to her website about her handicrafts and the origin and location of the minority Chinesegroups who make them, but she doesn't know if this is feasible. She thinks that this may depend on the average visit duration thatusers spend on the site. She asks you to calculate how much time users spend on the site during each visit. Google metrics show thaton weekdays, unique visitors spent 12.5 hours on the site and on weekends, unique visitors spent 15 hours on the site.Note: While website owners want users to spend a long time on their site, the average time spent is generally three to five minutes orless.ABDChange toMinutesUniqueVisitorsTime SpentEach Visit1Total Hours260

Given Total Number of hours spent by unique visitors on weekdays = 12.5 hours (750 minutes) Total…

Answered: users spend on the site. She asks you…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 43P

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Is my solution correct and did I fully answer the questions? (see attachment for my solution) Question: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1,500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $2,500 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $3,000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.50 ton. The state wants to reduce the amount of P1 in the river by at least 125 tons and the amount of P2 by at least 175 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Are the LP assumptions…
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SCENERIO Jack Devereux is a manager for Company XYZ. He has been with the company for about seven years and was recruited from Company XYZ’s main competitor. Jack is a forward-thinking individual and wants to figure out ways to help retain “star” employees. He is noticing that many of his better employees have left the company because of better job offers. He decides that it is time to have a serious conversation with his employees. After holding a town hall meeting with his employees, he learns that employees feel that they are being micro-managed and that they are being overworked. One employee mentions that she does not agree with the “zero tolerance for cyberloafing” policy and that several of her colleagues left this company because of this unnecessary policy. Cyberloafing is a term used to describe the actions of employees who use their Internet access at work for personal use while pretending to do legitimate work. Jack didn’t think his “zero tolerance for cyberloafing” policy…
Below is an excerpt from the article: Bennett, R. (2005). Factors associated with student plagiarism in a post-1992 university. Assessment & Evaluation in Higher Education, 30, 137-162.“There is a need for university staff to address forcefully the issue of academic integrity during introductory programs and to explain clearly and sympathetically the objective need for honesty in academic life” (p. 156).Which of the following examples correctly paraphrases the above passage without plagiarizing? Select one: a. During orientations, university staff should be very clear about the importance of academic integrity (Bennett, 2005). b. There is a need for colleges to forcefully address the issue of academic integrity during beginning programs and to explain clearly and sympathetically the objective need for integrity in college life (Bennett, 2005). c. There is a need for university staff to address forcefully the issue of academic integrity during introductory programs and to explain…
Hamlin Millworks is frustrated with the lobbyists who are currently trying to influence Congress to raise taxes for all corporations in the wood products industry. In the environment of Hamlin Millworks, these lobbyists are an example of A. controllable forces. B. uncontrollable forces. C. a domestic environment. D. a foreign environment.
3. Consider the matching problem (see Lecture #12) with 4 departments (A, B, C, D) and 4 workers (1, 2, 3, 4), where the preferences of the workers and rankings of the departments are givenbelow. Use the DA algorithm with workers applying to find the worker-optimal stable matching, then use the DA algorithm with departments offering to obtain the department - optimal stable matching. Show your work in your answers. Department A: 1 > 2 > 3 > 4 Worker 1: C>D>A>B Department B: 1 > 2 > 4 > 3 Worker 2: C>A>D> B Department C: 3>4>2> 1 Worker 3: A>B>C> D Department D: 3 > 2 > 4 > 1 Worker 4: A>B>C>D
The number of crimes in each of a city’s three policeprecincts depends on the number of patrol cars assigned toeach precinct (see Table 11). Five patrol cars are available.Use dynamic programming to determine how many patrolcars should be assigned to each precinct. No. of Patrol Cars Assigned to PrecinctPrecinct 0 1 2 3 4 51 14 10 7 4 1 02 25 19 16 14 12 113 20 14 11 8 6 5
Karen Archer is the hiring manager for a coal mining company in Kentucky. Karen finds her job especially fulfilling because she knows how important employment in the mines is for the local community where few other job prospects exist. Recently, Karen learned that top management has been hiding some disturbing information on the levels of toxins in the air in the deeper parts of the mine. Although only a couple of people are exposed to the risk, which seems slight, Karen is very upset because she views the people she hires as family. Using the knowledge that you have about Karen, explain the cognitive dissonance that she is experiencing and two ways that Karen could alter her behavior or attitude to reduce the dissonance?
The eTech Company is a fairly recent entry in the electronic device area. The company competes with Apple. Samsung, and other well-known companies in the manufacturing and sales of personal handheld devices. Although eTech recognizes that it is a niche player and will likely remain so in the foreseeable future, it is trying to increase its current small market share in this huge competitive market. Jim Simons, VP of Production, and Catherine Dolans, VP of Marketing, have been discussing the possible addition of a new product to the companys current (rather limited) product line. The tentative name for this new product is ePlayerX. Jim and Catherine agree that the ePlayerX, which will feature a sleeker design and more memory, is necessary to compete successfully with the big boys, but they are also worried that the ePlayerX could cannibalize sales of their existing productsand that it could even detract from their bottom line. They must eventually decide how much to spend to develop and manufacture the ePlayerX and how aggressively to market it. Depending on these decisions, they must forecast demand for the ePlayerX, as well as sales for their existing products. They also realize that Apple. Samsung, and the other big players are not standing still. These competitors could introduce their own new products, which could have very negative effects on demand for the ePlayerX. The expected timeline for the ePlayerX is that development will take no more than a year to complete and that the product will be introduced in the market a year from now. Jim and Catherine are aware that there are lots of decisions to make and lots of uncertainties involved, but they need to start somewhere. To this end. Jim and Catherine have decided to base their decisions on a planning horizon of four years, including the development year. They realize that the personal handheld device market is very fluid, with updates to existing products occurring almost continuously. However, they believe they can include such considerations into their cost, revenue, and demand estimates, and that a four-year planning horizon makes sense. In addition, they have identified the following problem parameters. (In this first pass, all distinctions are binary: low-end or high-end, small-effect or large-effect, and so on.) In the absence of cannibalization, the sales of existing eTech products are expected to produce year I net revenues of 10 million, and the forecast of the annual increase in net revenues is 2%. The ePIayerX will be developed as either a low-end or a high-end product, with corresponding fixed development costs (1.5 million or 2.5 million), variable manufacturing costs ( 100 or 200). and selling prices (150 or 300). The fixed development cost is incurred now, at the beginning of year I, and the variable cost and selling price are assumed to remain constant throughout the planning horizon. The new product will be marketed either mildly aggressively or very aggressively, with corresponding costs. The costs of a mildly aggressive marketing campaign are 1.5 million in year 1 and 0.5 million annually in years 2 to 4. For a very aggressive campaign, these costs increase to 3.5 million and 1.5 million, respectively. (These marketing costs are not part of the variable cost mentioned in the previous bullet; they are separate.) Depending on whether the ePlayerX is a low-end or high-end produce the level of the ePlayerXs cannibalization rate of existing eTech products will be either low (10%) or high (20%). Each cannibalization rate affects only sales of existing products in years 2 to 4, not year I sales. For example, if the cannibalization rate is 10%, then sales of existing products in each of years 2 to 4 will be 10% below their projected values without cannibalization. A base case forecast of demand for the ePlayerX is that in its first year on the market, year 2, demand will be for 100,000 units, and then demand will increase by 5% annually in years 3 and 4. This base forecast is based on a low-end version of the ePlayerX and mildly aggressive marketing. It will be adjusted for a high-end will product, aggressive marketing, and competitor behavior. The adjustments with no competing product appear in Table 2.3. The adjustments with a competing product appear in Table 2.4. Each adjustment is to demand for the ePlayerX in each of years 2 to 4. For example, if the adjustment is 10%, then demand in each of years 2 to 4 will be 10% lower than it would have been in the base case. Demand and units sold are the samethat is, eTech will produce exactly what its customers demand so that no inventory or backorders will occur. Table 2.3 Demand Adjustments When No Competing Product Is Introduced Table 2.4 Demand Adjustments When a Competing Product Is Introduced Because Jim and Catherine are approaching the day when they will be sharing their plans with other company executives, they have asked you to prepare an Excel spreadsheet model that will answer the many what-if questions they expect to be asked. Specifically, they have asked you to do the following: You should enter all of the given data in an inputs section with clear labeling and appropriate number formatting. If you believe that any explanations are required, you can enter them in text boxes or cell comments. In this section and in the rest of the model, all monetary values (other than the variable cost and the selling price) should be expressed in millions of dollars, and all demands for the ePlayerX should be expressed in thousands of units. You should have a scenario section that contains a 0/1 variable for each of the binary options discussed here. For example, one of these should be 0 if the low-end product is chosen and it should be 1 if the high-end product is chosen. You should have a parameters section that contains the values of the various parameters listed in the case, depending on the values of the 0/1 variables in the previous bullet For example, the fixed development cost will be 1.5 million or 2.5 million depending on whether the 0/1 variable in the previous bullet is 0 or 1, and this can be calculated with a simple IF formula. You can decide how to implement the IF logic for the various parameters. You should have a cash flows section that calculates the annual cash flows for the four-year period. These cash flows include the net revenues from existing products, the marketing costs for ePlayerX, and the net revenues for sales of ePlayerX (To calculate these latter values, it will help to have a row for annual units sold of ePlayerX.) The cash flows should also include depreciation on the fixed development cost, calculated on a straight-line four-year basis (that is. 25% of the cost in each of the four years). Then, these annual revenues/costs should be summed for each year to get net cash flow before taxes, taxes should be calculated using a 32% tax rate, and taxes should be subtracted and depreciation should be added back in to get net cash flows after taxes. (The point is that depreciation is first subtracted, because it is not taxed, but then it is added back in after taxes have been calculated.) You should calculate the company's NPV for the four-year horizon using a discount rate of 10%. You can assume that the fixed development cost is incurred now. so that it is not discounted, and that all other costs and revenues are incurred at the ends of the respective years. You should accompany all of this with a line chart with three series: annual net revenues from existing products; annual marketing costs for ePlayerX; and annual net revenues from sales of ePlayerX. Once all of this is completed. Jim and Catherine will have a powerful tool for presentation purposes. By adjusting the 0/1 scenario variables, their audience will be able to see immediately, both numerically and graphically, the financial consequences of various scenarios.
You want to take out a 450,000 loan on a 20-year mortgage with end-of-month payments. The annual rate of interest is 3%. Twenty years from now, you will need to make a 50,000 ending balloon payment. Because you expect your income to increase, you want to structure the loan so at the beginning of each year, your monthly payments increase by 2%. a. Determine the amount of each years monthly payment. You should use a lookup table to look up each years monthly payment and to look up the year based on the month (e.g., month 13 is year 2, etc.). b. Suppose payment each month is to be the same, and there is no balloon payment. Show that the monthly payment you can calculate from your spreadsheet matches the value given by the Excel PMT function PMT(0.03/12,240, 450000,0,0).
The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye and bourbon whiskey. The company has received an order for a minimum of 300 gallons of the custom blend. The customer specified that the order must contain at least 40% rye and not more than 280 gallons of bourbon. The customer also specified that the blend should be mixed in the ratio of rye to bourbon as 2 to 1 (i.e. rye:bourbon=2:1). The distillery can produce 500 gallons per week, regardless of the blend. The production manager wants to complete the order in 1 The blend is sold for $5 per gallon. The distillery company’s cost per gallon is $2 for rye and $1.5 for bourbon. The company wants to determine the blend mix that will meet customer requirements and maximize profits. Formulate a linear programming model for this problem. Solve the problem by using the computer

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users spend on the site. She asks you to calculate how much time users spend on the site during each visit. Google metrics show that on weekdays, unique visitors spent 12.5 hours on the site and on weekends, unique visitors spent 15 hours on the site.