a$.$ Run Principal component analysis $($Factor analysis$)$ using R$,$ and show $(1)$ your choice of how many components $($factors$,$ or dimensions, if you will$)$ you decide to use, $(0\mathrm{.}5$ pt$)(2)$ perceptual maps $(0\mathrm{.}5$ pt$).$

b$.$ Evaluate the current positioning map from G$20$ perspective, for S$1,$ S$2,$ and S$3($which segment is best for G$20?).(1$ pt$)$

c$.$ Define $($select$)$ the strongest competitor of G$20,$ based on the case. Then evaluate this competitor$$ perspective whether or not it is positioned well. If so$,$ why or why not? $(1$ pt$)$ Be thorough and complete.

d$.$ If you have to reposition G$20,$ how would you re$-$position it$?$ Rationales? $(1$ pt$)$

e$.$ Questionnaire development: Based on the case and data set, you should be able to reproduce the original questionnaire that you think was used to generate this data set. In terms of format, each student can use any type and format $($i$.$e$.,$ an unique format$),$ but the contents would be pretty much same, because all the questions will be based on the case itself. You can use this questionnaire later whenever you want to work on segmentation analysis. In a sense, this questionnaire will be a template for future use. Be professional $(0\mathrm{.}5$ pt$)$ and complete $(0\mathrm{.}5$ pt$)$ as much as possible, in terms of contents and format, looking an actual questionnaire for real data collection.