East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? X-coordinate Y-coordinate Volume Athens, Texas Beaumont, Texas 30 30 150 20 10 350 Carthage, Texas Denton, Texas 10 70 100 50 50 400 OX-28.125; Y = 31.25 OX= 32500; Y = 35000 %3D X 32.5; Y = 35 X- 27.5; Y 40 O center of gravity 28
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- A cosmetics manufacturer's marketing department has developed a linear trend equation th its popular Hand & Foot Cream. F = 95,000 + 15,000t Where F = Annual sales t is in years (Enter all answers as whole numbers.) a. Are annual sales increasing or decreasing? By how much? Annual sales are by bottles per year. b. Predict annual sales for year 8 using the equation. Annual sales for year 8 bottlesUse the data below to compute the following: Period (t) At or Yt 410 407 333 428 332 355 371 481 392 1 2 3 4 5 6 7 8 9 A.) Compute the 3 period simple moving average forecasts. Compute the MAD and MSE for the 3-period simple moving average. B.) Compute the 4-period weighted moving average forecasts using the weights=0.25, 0.1, 0.44, and 0.3. Compute the MAD and MSE for the 4-period weighted moving average. C.) Compute the exponential smoothing forecasts using alpha=0.35. Compute the MAD and MSE for the exponential smoothing forecasts. D.) Calculate the regression line. Compute the MAD and MSE for the regression line. E.) Use your results for A.)-D.) to determine which forecast is best. Explain your results.The number of patients coming to the Healthy Start Maternity clinic has been increasing steadilyover the past eight months. You are provided with some historical data as follows:Month Clinic attendance(in thousands)1 3.42 3.93 4.54 5.05 5.86 5.97 6.58 6.7b. Use simple linear regression to forecast annual demand for months 9 and 10 by using thetabular method to:-i. Derive the values for the intercept and slope. ii. Derive the linear regression equation. iii. Plot the linear regression line. iv. Develop a forecast of the clinic attendance for months 9 and 10.
- 3) Seasonality: The following data represent dinner sales at a busy restaurant. Use linear regression to predict sales for each day of week 5 and the total sales for week 5. Estimate the percentage of weekly sales that occur over the weekend (include Friday, Saturday, and Sunday). Finally, determine which days of the week are increasing and decreasing in sales, using the slopes of the LR lines. Week Mon Wed Fri Sat Sun Tue 177 170 Thu 190 Total 270 152 180 321 386 166 218 203 402 427 167 333 357 229 3 158 170 170 205 163 173 158 225 349 433 212 a) Graph the seasonal data and attach the graph to this page. b) Determine the slope for each day of the week. Mon Tue Wed Thu Fri Sat Sun Total Slope c) Estimate the percentage of weekend sales in week 5: d) For which day are sales increasing the fastest? e) For which day are sales decreasing the fastest?Consider the following yearly demand values for a particular product. Year Demand 1 360 389 3 410 4 381 368 374 (a) Produce forecast for year 4,5,6, and 7 by using 3-week moving average. (b) Produce forecast for year 4,5,6, and 7 by using 3-week weighted moving average where weights are as follows; wt–3 = .1, wt-2 = .3, and wt-1 = .6. (c) Produce forecast for year 4,5,6, and 7 by using exponential smoothing with a = .2. Please assume that the forecast for the first year is 360.A cosmetics manufacturer’s marketing department has developed a linear trend equation that can be used to predict annual sales of its popular Hand & Foot Cream.Ft = 80 + 15twhereFt = Annual sales (000 bottles)t is in yearsa. Are annual sales increasing or decreasing? By how much?b. Predict annual sales for year 6 using the equation.
- Use exponential smoothing with trend adjustment to forecast demand for period 11. Let α = 0.5, β= 0.3, and let the initial trend value be 12 and the initial forecast be 200. Period Actual Demand 1 200 2 212 3 214 4 222 5 236 6 221 7 240 8 244 9 250 10 266es Compute seasonal relatives for this data using the simple averaging (SA) method: Quarter Year 1 1 AWN 2 3 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 W # 3 2 (Round all your answers to three decimal points.) FB 5 1 4 Year 2 1 4 1 Q Search F4 S4 R F5 % 45 Year 3 0 8 4 6 ‒‒‒‒‒‒ 8 F9 F10 F11 0Develop an ABC graph for the data in Table 16. Whichitems should be classified A, B, and C?Item Annual Usage (in dollars)1 20,000 202 23,000 103 20,000 34 30,000 25 5,000 106 10,000 77 1,000 308 2,000 159 3,000 1010 5,000 6
- A cosmetics manufacturer's marketing department has developed a linear trend equation that can be used to predict annual sales of Its popular Hand & Foot Cream. Ft = 100,000 - 16.000t Where F₁ = Annual sales t is in years (Enter all answers as whole numbers.) a. Are annual sales increasing or decreasing? By how much? Annual sales are b. Predict annual sales for year 8 using the equation. Annual sales for year 8 bottles bottles per year.The number of patients coming to the Healthy Start Maternity clinic has been increasing steadilyover the past eight months. You are provided with some historical data as follows: Month Clinic attendance (in thousands)1 3.42 3.93 4.54 5.05 5.86 5.97 6.58 6.7 a. Identify and give a brief explanation of the:i. Dependent variableii. Independent variable b. Use simple linear regression to forecast annual demand for months 9 and 10 by using thetabular method to:i. Derive the values for the intercept and slope. ii. Derive the linear regression equation. iii. Plot the linear regression line. iv. Develop a forecast of the clinic attendance for months 9 and 10.After plotting the following demand data, a manager has concluded that a trend-adjusted exponential smoothing model is appropriate to predict future demand. Period, t At Actual 1 208 2 219 3 232 4 244 5 258 6 268 7 285 8 296 9 313 10 ? Use periods 1 to 4 to estimate the initial smoothed average and trend. Use a = 0.6 and b = 0.5 to develop forecasts for periods 6 through 10. (Round your answers to 2 decimal places.) What is the forecast for period 10?(round the answer to 2 decimal places)