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35. A popular brand of tennis shoe has had the following demand history by quarters over a three year period. 1990 Demand 1991 Demand 1992 Demand 1 12 1 16 1 14 2 25 2 32 2 45 3 76 3 71 3 84 4 52 4 62 4 47 a) Using the data from 1991 and 1992, determine intial values of the intercept, slope, and seasonal factors for Winters’s method. b) Assume that the observed demand for the first quarter of 1993 was 18. Using alpha = 0.2, beta = 0.15, and gamma = 0.10, update the estimates of the series, the slope, and the seasonal factors. c) What are the forecasts made at the end of the first quarter of 1993 for the remaining three quarters of 1993?

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