The owner of a small brewery in milwaukee wisconsin is

Question

Question: The owner of a small brewery in Milwaukee, Wisconsin, is using Winters's method to forecast his quarterly beer sales. He has been using smoothing constants of

α = .2, β = .2, and γ = .2. He has currently obtained the following values of the various slope, intercept, and seasonal factors: S₁₀ = 120, G₁₀ = 14, c₁₀ = 1.2, c₉ = 1.1, c₈ = .8, and c_{7 = .9.}

a. Determine the forecast for beer sales in quarter 11.

b. Suppose that the actual sales turn out to be 128 in quarter 11. Find S11 and G11, and find the updated values of the seasonal factors. Also determine the forecast made at the end of quarter 11 for quarter 13.