$3.\backslash ((15+2+3)\backslash )$ Continuing from the problem $\backslash$# $2$ Spools'R'Us Manufacturing company produces different types of spools. Demands for bob spools $($in $\backslash (10^\{3\}\backslash )$ units$)$ over the last $6$ months $(2024)$ are as follows:

Based on the nature of the values determined as the trend values in the adjusted exponential smoothing technique for forecasting in problem$-2,$ the industrial engineer of Spools'R'Us decided to use linear trend technique for forecasting.

a$)$ Was he$/$she correct on the decision for utilizing the linear trend forecasting technique for this set of historical sales values? Justify your answer with references from problem$-2.$

b$)$ Referencing from your work from part: a$,$ is it possible to forecast for the month of November $2024?$

c$)$ Continuing from part$-$b$,$ if your answer is "yes", then forecast for the month of November $2024.$ If your answer is $"$no$",$ then forecast for the month of November $2024$ using any appropriate technique discussed during the class.

Note: This manufacturing company uses percentage deviation $($MAPD$)$ as a tool for justifying and utilizing a specific technique and a set of parameters.