The Manager of a towel company needs to accurately forecast the demand for towels. If the supply of towels is not enough, regular customers buy their towels from one of the company's many competitors. The company has collected the following demand data for the past 10 months. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights 5, 3, and 1 to the months in sequence starting with the most recent month:
Month Demand for towels (by 10000)
January 37
February 45
March 47
April 50
May 54
June 57
July 58
August 60
September 63
October 65