Problem 1 An Automotive battery manufacturing company is using Exponential smoothing to forecast its automobile battery sales. Two value of a are examined, a=0.8 and a=0.5. As an Industrial Engineering intern, Evaluate the accuracy of each smoothing constant and identify which is preferable? (Assume the forecast for January was 22 batteries.) Actual sales are given below: Month Forecast Actual Battery Sales January 20 22 February 21 March 15 April 14 May 13 June 16 Problem 2 Our main distribution center in Phoenix, AZ is due to be replaced with a much larger, more modern facility that can handle the tremendous needs that have developed with the city's growth. Fresh produce travels to the seven store locations several times a day making site selection critical for efficient distribution. Using the data in the following table, Calculate the central of gravity and proposed a new distribution center. Store Locations Truck Round Trips per Day 3 Mesa Glendale 3 2 Map Coordinates (x,y) (10,5) (3,8) (4,7) (15,10) (13,3) (1,12) (5,5) Camelback Scottsdale Apache Junction Sun City Pima 6 5 3 10