Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup its distribution centre. I. What is the main objective of using this technique? II. What information will be needed in order to use this technique? III. Setup a numerical example that can be used to demonstrate to the owner of the company how the technique can be used. IV. Use the numerical example set up above to demonstrate how the centre of gravity location technique is used.
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Maya ltd. wants to use the Centre of Gravity location technique to determine where to setup its
distribution centre.
I. What is the main objective of using this technique?
II. What information will be needed in order to use this technique?
III. Setup a numerical example that can be used to demonstrate to the owner of the
company how the technique can be used.
IV. Use the numerical example set up above to demonstrate how the centre of gravity
location technique is used.
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- a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000Problem 7 At Treasure Wine Estates in Napa, CA the Sales and Marketing Department have developed a linear trend equation that can be used to predict sales of its popular wine brands. Ft 90+ 12.5t Where F₁ = Annual sales (000 bottles) t = years A. Are annual sales increasing or decreasing? B. By how much? C. Predict annual sales for year 8 using the equation Note: round your answer3. Answer the followings. a. Myanmar CP Live Stock Company Limited Shipped Sausage boxes around Myanmar. A manager wants to forecast shipments for the first four months of the next two years by using Linear equation method. The monthly forecast equation being used is: y= 402 + 3x and determine trend amounts for the first four months of the next two year: January, x=24, February, x=25; etc. b. A farm implements dealer is seeking a fourth warehouse location to complement three existing warehouses. There are three potential locations, N.C; Atlanta, Ga.; and Columbia, S.C. Charlotte would involve a fixed cost of $4,000 per month and a variable cost of $4 per unit. Atlanta would involve a fixed cost of $3,500 per month and a variable cost of $5 per unit; and Columbia would involve a fixed cost of $5,000 per month and a variable cost of $6 per unit. Use of the Charlotte location would increase system transportation costs by $19,000 per month. Atlanta by $22,000 per month, and Columbia by…
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- ABC Company manufacture passenger cars for Malaysian customers. The sales volume is shown in Table 1. Table 1: The sales volume Period (Month) Sales Volume of Passenger Cars 1 8000 2 9500 3 7000 4 6500 5 8100 6 8600 7 9000 8 7800 9 7600 a) Based on Table 1, calculate forecast volume using and 5 periods-moving average. b) Based on Table 1, calculate forecast volume using exponential smoothing with α = 0.6. c) Evaluate which forecasting method is better between 5 periods- moving average and exponential smoothing with α = 0.6.a. Compute a three-week moving average forecast for the arrival of medical clinic patients in week 4. The numbers of arrivals for the past 3 weeks were as follows: Week Patient Arrivals1 4002 3803 411 b. If the actual number of patient arrivals in week 4 is 415, what is the forecast error for week 4?c. What is the forecast for week 5?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
- B. The number of disk drives (in millions) made at a plant in China during the past 5 years follows: Year Disc Drives 1 140 160 3 190 4 200 5 210 i. Forecast the number of disk drives to be made next year, using linear regression.for the last week, daily high temperatures in st.louis were as follows: 93, 94, 93, 95, 96, 88 and 90. i. calculate the mean absolute deviation based on a 2-day moving average. ii. compute the mean squared error for the 2-day moving average. iii. calculate the mean absolute percent error fort he 2-day moving average.ABC Bank is thinking of opening a new branch in a certain city besides its existing branches due tocustomers’ complaints of long waiting lines and distant of existing branches from them. As an expertin field of banking operations, you were asked to put the criteria of choosing the new location a- If you were asked to choose a mechanism for forecasting the number of transactions per day, what would be the methodology that you will use to decide such forecasting method and what do you think this method may be?