Problems $1$ through $6$ are based on the following data. Observations of the demand for acertain part stocked at a parts supply depot during the calendar year $2013$ werea$)$ Determine the one$-$step$-$ahead forecasts for the demand for January $2014$ using $3-,6-,$ and$12-$month moving averages.b$)$ Using a four$-$month moving average, determine the one$-$step$-$ahead forecasts for Julythrough December $2013.$c$)$ Using a four$-$month moving average, determine the two$-$step$-$ahead forecast for Julythrough December $2013.($Hint: The two$-$step$-$ahead forecast for July is based on theobserved demands in February through May.$)$d$)$ Compute the MAD for the forecasts obtained in Problems $2$ and $3.$ Which method gavebetter results? Based on forecasting theory, which method should have given betterresults?e$)$ Compute the one$-$step$-$ahead three$-$month and six$-$month moving$-$average forecasts forJuly through December. What effect does increasing N from $3$ to $6$ have on the forecasts?f$)$ Use the arithmetic average of the first six months of data as a baseline to initialize theexponential smoothing. Determine the one$-$step$-$ahead exponential smoothing forecasts for Augustthrough December, assuming $=0\mathrm{.}2.$ Compare the accuracy of the forecasts obtained in part $($a$)$ with the one$-$step$-$ahead six$-$month moving$-$average forecasts determined in Problem $5.$ Comment on the reasons for the res