Destination х У Weekly Quantity D1 2, 2 800 D2 3, 900 D3 5, 4 200 D4 100 2,000 Determine the center of gravity.
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Suppose that the shipments for the problem depicted in Figure 8.1A are not all equal, but instead are the following:
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- Given is a decision payoff table. Alternatives Small Facility Medium Facility Large Facility Low 26 18 -7 Future Demand Moderate 21 31 30 High 18 22 42 a) The best decision under uncertainty using MAXIMAX is to select Blank 1 facility b) The best decision under uncertainty using MAXIMIN is to select Blank 2 facility c) The best decision under uncertainty using LAPLACE/EQUALITY LIKELY is to select Blank 3 facility d) If the probabilities for Future Demand when it is Low-0.35, Moderate -0.30, and High-0.35, the expected monetary value (EMV) for the large facility-Blank 4.ABC Company will launch its new SKU of pen next month in preparation for the school opening. The president requested for the determination of the base market given the following: Population: 10,000,000; Gender: Male is 33%; Female is 67%; Age: 0-10 is 10%, 11-20 is 20%; 21-30 is 13%, 31-40 is 27%, 41-50 is 20%, 51 AND UP IS 10%; SEC: A is 3%; B is 7%, C1 is 30%; C2 is 15%l D is 25% and E is 20%. Additionally, PQ is 50%. Suppose that your target market is male, ages 21 to 40, belonging to SEC C1,C2 and D. The base market is _________.10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 A 25 26 27 28 29 30 B с 1 2 Based on the city distance dataset as follows: 3 4 5 6 7 8 9 1 Boston 2 Chicago 3 Dallas 4 Denver 5 LA 6 Miami 7 Phoenix 8 Seattle D Phoenix Chicago Denver Dallas 0 983 1815 1991 3036 1539 2664 2612 Boston Chicago Dallas Total trip miles by the traveler: Index Cities Seattle LA E Total trip miles 983 0 1205 1050 2112 1390 1729 2052 F Distance 1815 1205 0 801 1425 1332 1027 2404 G Denver LA 1991 1050 801 0 1174 2100 836 1373 H 3036 2112 1425 1174 0 2757 398 1909 I Miami 1539 1390 1332 2100 2757 0 2359 3389 J K Phoenix Seattle 2664 1729 1027 836 398 2359 0 1482 A resident of Seattle is embarking on a road trip that takes her to Los Angeles, Phoenix, Chicago, Denver, Dallas, and finally go back to Seattle. How many miles will she travel on this trip? Hint: Use INDEX and MATCH to answer the above question. 2612 2052 2404 1373 1909 3389 1482 0 L M N
- Problem 17 page 552The chancellor of a small regional college is concernedabout the declining freshman enrollment at his college. A number of factors have contributed to the decline, butthe chancellor believes it is directly related to annualtuition increases. He has collected the following data forthe past 8 years.year FreshmanEnrollmentAnnualTuition (In USdollars)1 6,550 32,0002 6,230 37,0003 5,980 45,2004 5,540 45,7005 4,960 46,2006 4,630 46,7007 4,520 52,2008 4,220 57,700a Develop a linear regression equation for forecastingfreshman enrollment as a function of the annual tuition.b Forecast freshman enrollment if the annual tuitionincreases by US$9,000 in Year 9.c Evaluate the "goodness of fit" of the regressionequation by computing the values of R2, r, and Syx and interpret the results.A manager received an analysis of several cities being considered for a new office complex. The data (10 points maximum) are as follows: Factor Business services Community services Real estate cost Construction costs Cost of living Taxes Transportation A с Thus, Location Score A A B с Thus, 17 17 17 8 6 4 3 2 8 9 B 6 6 Click here for the Excel Data File a. If the manager weights the factors equally, how would the locations stack up in terms of their composite factor rating scores? 8 7 7 19 19 19 5 7 is/are the best. C 6 7 7 6 8 b. If business services and construction costs are given weights that are double the weights of the other factors, how would the locations stack up? is/are best and 4 8 is/are least desirable.4. Spears Rowbuck has recorded the following sales figures. Calculate the seasonal indices for Thursday and Friday. Week 1 Week 2 Week 3 Week 4 Monday 43 51 40 66.0 Tuesday 45 41 57 58.6 Wednesday 22 37 30 34.7 Thursday 25 22 33 36.7 Friday 31 25 37 25.0 a. Thursday = 29.18, Friday = 29.50 b. Thursday = 0.2074, Friday = 1.1632 c. None of the other options. d. Thursday = 0.7678, Friday = 0.7763 e. Thursday = 0.6142, Friday = 0.6211
- The owners of Sweet-Tooth Bakery have determined thatthey need to expand their facility in order to meet their increaseddemand for baked goods. Th e decision is whether to expand nowwith a large facility or expand small with the possibility of havingto expand again in fi ve years.Th e owners have estimated the following chances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Profi ts for each alternative have been estimated as follows:• Large expansion has an estimated profi tability of either$80,000 or $50,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $40,000, assumingdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If the bakeryexpands at this point, the profi tability is to be $50,000.(a) Draw a decision tree showing the decisions, chanceevents, and their probabilities, as well as the profi tabilityof…РОСО SHOT ON POCO F2 PRO mand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand. DEMAND DEMAND IS DEMAND IS LOW MEDIUM IS HIGH 150 140 o 90 130 3D10 Ardmore, OK 85 110 Sweetwater, TX 90 100 Lake Charles, LA 110 120 (a) Which location would be selected based on the optimistic eriterion? Ardnore, ok pe (b) Which location would be selected based on the rnd pessimistic criterion? Lake auley is lowFreight car loadings over an 18-week period at a busy port are as follows: Week Number Week Number Week Number 1 410 7 460 13 540 2 420 8 480 14 550 3 430 9 500 15 570 4 420 10 490 16 580 5 430 11 510 17 590 6 440 12 530 18 600 Click here for the Excel Data File a. Determine a linear trend line for expected freight car loadings. (Round your intermediate calculations and final answers to 2 decimal places.) b. Use the above trend equation to predict expected loadings for Weeks 20 & 21. (Round your final answers to 2 decimal places.) c. The manager intends to install new equipment when the volume exceeds 990 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level? (Use the rounded answers, as required, from any previous part of this problem. Do not round any other intermediate calculations. Round your final answer to 2 decimal places.)
- Problems 2 Helen Murvis, hospital administrator for Portland General Hospital, is trying to determine whether to build a large wing onto the existing hospital, a small wing, or no wing at all. If the population of Portland continues to grow, a large wing could return $150,000 to the hospital each year. If the small wing were built, it would return S$60,000 to the hospital each year if the population continues to grow. If the population of Portland remains the same, the hospital would encounter a loss of $85,000 if the large wing were built. Furthermore, a loss of $45,000 would be realized if the small wing were constructed and the population remains the same. Unfortunately, Helen does not have any information about the future population of Portland * Develop a decision table for this problem. * Determine the best decision using the following decision criteria 1. Мaximax 2. Маximin 3. Minimax Regret Hurwicz (use a coefficient of realism of 0.75) 5. Equal likelihood 6. Expected Value 7.…The Ace Steel Mill estimates the demand for steel in millions of tons per year as follows:Millions of Tons Probability10 .1012 .2514 .3016 .2018 .15a. If capacity is set at 18 million tons, how much of a capacity cushion is there?b. What is the probability of idle capacity, and what is the average utilization of the plant at 18 million tons of capacity?c. If it costs $8 million per million tons of lost business and $80 million to build a million tons of capacity, how much capacity should be built to minimize total costs?ces around the United States. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO, and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. PLANT Philadelphia Atlanta St. Louis Salt Lake City MAXIMUM CAPACITY PRODUCT COST (PER (x 100,000 POUNDS) 1,000 POUNDS) SP currently has six contract customers located in New York City, Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. FROM/TO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (x 1,000 pounds) 7.2 9.4 12.0 10.3 From/To Philadelphia Atlanta St. Louis Salt Lake City NYC $42 NYC $336.00 $286.00 $316.00 $261.00 52 54 69 540 TRANSPORT COSTS PER 1,000 POUNDS BIRMINGHAM TERRE HAUTE DALLA $49 39 57 68 430 Create a solver model and find the optimal solution to help…