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Study Resources (Business Management)

32. A professor has been contacted by four not-for-profit agencies that are willing to work with student consulting teams. The agencies need help with such things as budgeting, information systems, coordinating volunteers, and forecasting. Although each of the four student teams could work with any of the agencies, the professor.
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30. The primal problem is Min 2x1 + 5x2 + 4x3 s.t. x1 + 3x2 + 3x3 ≥ 30 3x1 + 7x2 + 5x3 ≥ 70 x1, x2, x3 ≥ 0 ? The final tableau for its dual problem is u1 u2 s1 s2 s3 Basis cB 30 70 0 0 0 u2 70 0 1 3/4 0 −1/4 1/2 s2 0 0 0 −3/2 1 −1/2 0 u1 30 1 0 −5/4 0 3/4 1/2 zj 30 70 15 0 5 50 cj − zj 0 0 −15 0 −5 ? Give the complete solution to the primal problem. 31. The linear programming problem: Max 6x1 + 2x2 + 3x3.
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31. Write the following problem in tableau form. Which variables would be in the initial basic solution? Min Z = 3x1 + 8x2 s.t. x1 + x2 ≤ 200 x1 ≤ 80 x2 ≤ 60 32. Given the following initial simplex tableau x1 x2 x3 s1 s2 s3 Basis cB 5 8 12 0 0 0 s1 0 3 4 5 1 0 0 80 s2 0 9 15 20 0 1 0 250 s3 0 1 −1 2 0 0 0 20 zj 0 0 0 0 0 0 0 cj − zj 5 8 12 0 0 0 ? a. What variables form the basis? b. What are the current values of the decision variables? c. What is.
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54. The number of plumbing repair jobs performed by Auger's Plumbing Service in each of the last nine months are listed below. Month Jobs Month Jobs Month Jobs March 353 June 374 September 399 April 387 July 396 October 412 May 342 August 409 November 408 ? a. Assuming a linear trend function, forecast the number of repair jobs Auger's will perform in December using.
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43. John Harris is interested in purchasing a new Harley-Davidson motorcycle. He has narrowed his choice to one of three models: Sportster Classic, Heritage Softtail, and Electra Glide. After much consideration, John has determined his decision-making criteria, assigned a weight to each criterion, and rated how well each decision alternative.
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41. In an AHP problem, the priorities for three criteria are Criterion 1 .1722 Criterion 2 .1901 Criterion 3 .6377 ? The priority matrix is Criterion 1 Criterion 2 Criterion 3 Choice 1 .425 .292 .850 Choice 2 .330 .251 .105 Choice 3 .245 .457 .045 ? Compute the overall priority for each choice. 42. Like many high school seniors, Anne has several universities to consider when making her final college choice. To assist in her.
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31. If data for a time series analysis is collected on an annual basis only, which pattern does not need to be considered? a. trend b. seasonal c. cyclical d. horizontal 32. One measure of the accuracy of a forecasting model is the a. smoothing constant b. linear trend c. mean absolute error d. seasonal index 33. Using a naive.
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1. Time series methods base forecasts only on past values of the variables. a. True b. False 2. Quantitative forecasting methods can be used when past information about the variable being forecast is unavailable. a. True b. False 3. Trend in a time series must be linear. a. True b. False 4. All quarterly time series contain seasonality. a. True b..
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25. ?Develop the transportation tableau for this transportation problem. ? ? ? 26. Solve the following transportation problem using the transportation simplex method. State the minimum total shipping cost. Origin Supply Destination Demand A 500 X 300 B 400 Y 300 Z 300 Shipping costs are: Destination Source X Y Z A 2 3 5 B 9 12 10 .
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38. Determine from a review of the following tableau whether the linear programming problem has multiple optimal solutions. Basis cB x1 x2 s1 s2 s3 s3 0 0 0 1 −1/5 8/6 6 x2 2 0 1 0 1/5 −3/5 1 x1 3 1 0 0 1/5 2/5 4 zj 3 2 0 0 0 14 cj −zj 0 0 0 −1 0 39. Write the following problem in tableau form. Which variables would be in the initial basis? Max x1 + 2x2 s.t. 3x1 + 4x2 ≤ 100 2x1 + 3.5x2 ≥ 60 2x1 − 1x2 = 4 x1 ,.
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31. Calculate the steady state probabilities for this transition matrix. 32. Two airlines offer conveniently scheduled flights to the airport nearest your corporate headquarters. Historically, flights have been scheduled as reflected in this transition matrix. Current Next Flight Flight Airline A Airline B Airline A .6 .4 Airline B .2 .8 ? a. If your last flight was on B, what is the probability your.
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29. After some special presentations, the employees of the AV Center have to move overhead projectors back to classrooms. The table below indicates the buildings where the projectors are now (the origins), where they need to go (the destinations), and a measure of the distance between sites. Determine the transport.
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49. ?The operations research analyst for a big manufacturing firm in Oregon developed the following variable definitions for a LP maximization problem she was working on. The company was trying to determine how many consoles of each model to produce next week given each console had to go through three.
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21. Given the following linear programming problem Max Z 0.5x1 + 6x2 + 5x3 s.t. 4x1 + 6x2 + 3x3 ≤ 24 1x1 + 1.5x2 + 3x3 ≤ 12 3x1 + x2 ≤ 12 ? and the final tableau is x1 x2 x3 s1 s2 s3 Basis cB .5 6 5 0 0 0 x2 6 1 1 0 .22 −.22 0 2.67 x3 5 0 0 1 .11 −.44 0 2.67 s3 0 2.33 0 0 −.22 .22 1 9.33 zj 4 6 5 .77 .88 0 29.33 cj − zj .5 0 0 −.77 −.88 0 ? a. Find the range of optimality for c1, c2, c3, c4, c5, and c6. b. Find the range of feasibility.
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27. Canning Transport is to move goods from three factories (origins) to three distribution centers (destinations). Information about the move is given below. Solve the problem using the transportation simplex method and compute the total shipping cost. Origin Supply Destination Demand A 200 X 50 B 100 Y 125 C 150 Z 125 ? Shipping costs are: ?? ? Destination Origin X Y Z A 3 2 5 B 9 10 -- C 5 6 4 ? (Source B cannot ship to destination Z) 28. The following table shows the.
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1. The transportation simplex method can be used to solve the assignment problem. a. True b. False 2. The transportation simplex method is limited to minimization problems. a. True b. False 3. For an assignment problem with 3 agents and 4 tasks, the assignment matrix will have 3 rows and 4 columns. a. True b. False 4. If a.
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1. Markov processes use historical probabilities. a. True b. False 2. All entries in a matrix of transition probabilities sum to 1. a. True b. False 3. All Markov chain transition matrices have the same number of rows as columns. a. True b. False 4. A unique matrix of transition probabilities should be developed for each customer. a. True b. False 5..
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48. ? The evening television news broadcast that individuals view on one evening is influenced by which broadcast they viewed previously. An executive at the C network has determined the following transition probability matrix describing this phenomenon. ? Current Network News Watched Next Network News Watched A C N A .80 .12 .08 C .08 .85 .07 N .08 .09 .83 ? a. Which network has the most loyal viewers? b. What are.
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34. Al Bergman, staff traffic analyst at the corporate headquarters of Computer Products Corporation (CPC), is developing a monthly shipping plan for the El Paso and Atlanta manufacturing plants to follow next year. These plants manufacture specialized computer workstations that are shipped to five regional warehouses. Al has developed these.
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36. As treasurer of the school PTA, you chair the committee to decide how the $20,000 raised by candy sales will be spent. Four kinds of projects have been proposed, and facts on each are shown below. Project NumberRequested Unit Cost Volunteers Needed(Person-days, each) Basketball goals 12 $400 2 Encyclopedia sets 5 750 0 Field trips 6 300 3 Computer Stations 20 800 .5 ? Develop a.
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27. Creative Kitchen Tools manufactures a wide line of gourmet cooking tools from stainless steel. For the coming production period, there is demand of 1200 for 8 quart stock pots, and unlimited demand for 3 quart mixing bowls and large slotted spoons. In the following model, the three variables measure.
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11. Dual prices and ranges for objective function coefficients and right-hand side values are found by considering a. dual analysis. b. optimality analysis. c. ranging analysis. d. sensitivity analysis. 12. For the basic feasible solution to remain optimal a. all cj − zj values must remain ≤ 0. b. no objective function coefficients are allowed to change. c..
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42. Comment on the solution shown in this simplex tableau. x1 x2 x3 s1 s2 a1 Basis cB 1 2 5 0 0 −M a1 −M −3 −1 0 −1 −2 1 4 x3 5 1 1/2 1 0 1/2 0 4 zj 5+3M 2.5+M 5 M 2.5+2M −M −4M+20 cj − zj −4−3M −.5−M 0 −M −2.5−2M 0 43. Comment on the solution shown in this simplex tableau. x1 x2 x3 s1 s2 Basis cB 4 6 5 0 0 s1 0 3 0 −1 1 −1 26 x2 6 1 1 1 0 −1 10 zj 6 6 6 0 −6 60 cj − zj −2 0 −1 0 6 44. ? Joe Forrester, an operations analyst for a manufacturing company, developed the following LP formulation and wants to create an initial simplex tableau. ? Max 40xl + 30x2 + 50x3s.t..
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1. The range of optimality is useful only for basic variables. a. True b. False 2. The range of optimality is calculated by considering changes in the cj − zj value of the variable in question. a. True b. False 3. As long as the objective function coefficient remains within the range of optimality, the variable.
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21. In Markov analysis, we are concerned with the probability that the a. state is part of a system. b. system is in a particular state at a given time. c. time has reached a steady state. d. transition will occur. 22. For a situation with weekly dining at either an Italian or Mexican restaurant, a..
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11. Smoothing methods are more appropriate for a stable time series than when significant trend or seasonal patterns are present. a. True b. False 12. The exponential smoothing forecast for any period is a weighted average of all the previous actual values for the time series. a. True b. False 13. The mean squared error is.
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39. Accounts receivable have been grouped into the following states:State 1: PaidState 2: Bad debtState 3: 0-30 days oldState 4: 31-60 days oldSixty percent of all new bills are paid before they are 30 days old. The remainder of these go to state 4. Seventy percent of all 30 day.
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13. A solution to a transportation problem that has less than m + n − 1 cells with positive allocations in the transportation tableau is a. an optimal solution. b. an initial feasible solution. c. a minimum-cost solution. d. a degenerate solution. 14. The optimal solution is found in an assignment matrix when the minimum.
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34. A simplex tableau is shown below. x1 x2 x3 s1 s2 s3 Basis cB 3 5 8 0 0 0 s1 0 3 6 0 1 0 −9 126 s2 0 −5/2 −1/2 0 0 1 −9/2 45 x3 8 1/2 1/2 1 0 0 1/2 18 zj 4 4 8 0 0 4 144 cj − zj −1 1 0 0 0 −4 ? a. Do one more iteration of the simplex procedure. b. What is the current complete solution? c. Is this solution optimal? Why or why not? 35. A simplex table is shown below. x1 x2 x3 s1 s2 s3 Basis cB 5 4 8 0 0 0 s1 0 2/5 −3/5 0 1 −2/5 0 4 x3 8 4/5 4/5 1 0 1/5 0 8 s3 0 4/5 9/5 0 0 1/5 1 10 zj 32/5 32/5 8 0 8/5 0 64 cj − zj −7/5 −12/5 0 0 −8/5 0 ? a. What is the current complete solution? b. The 32/5 for z1 is composed of 0 + 8(4/5).
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36. Appointments in a medical office are scheduled every 15 minutes. Throughout the day, appointments will be running on time or late, depending on the previous appointment only, according to the following matrix of transition probabilities: PreviousAppointment Next Appointment On Time Late On Time .75 .25 Late .30 .70 ? a. The day begins with the first appointment on time. What are the.
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36. Five customers needing their tax returns prepared must be assigned to five tax accountants. The estimated profits for all possible assignments are shown below. Only one accountant can be assigned to a customer, and all customers' tax returns must be prepared. What should the customer-accountant assignments be so that.
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46. ?A student in a Management Science class developed this initial tableau for a maximization problem and ? now wants to perform row operations to obtain the next tableau and check for an optimal solution. ? ? ? x1 x2 s1 s2 s3 ? Basis cB 550 350 0 0 0 ? s1 0 2 2 1 0 0 2000 s2 0 2 1 0 1 0 1500 s3 0 1 2 0 0 1 3000 ? zj 0 0 0 0 0 0 ? cj - zj 550 350 0 0 0 ? ? 47. ? A student in a Management Science class wants to perform row operations on this.
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52. Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month Index Jan 1.38 Feb 1.42 Mar 1.35 Apr 1.03 May .99 June .62 July .51 Aug .58 Sept .82 Oct .82 Nov .92 Dec 1.56 and the trend line is 74123 + 26.9(t). Assume there is no cyclical component and forecast sales for year 8 (months 97 - 108). 53. A 24-hour coffee/donut shop makes.
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1. When a system of simultaneous equations has more variables than equations, there is a unique solution. a. True b. False 2. To determine a basic solution set of n−m, the variables equal to zero and solve the m linear constraint equations for the remaining m variables. a. True b. False 3. A basic feasible solution.
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