ii$.$ All else remaining unchanged, the purchase intentions for Brand Y in the Professional

segment will not be affected if the location of Brand X on the Convenience dimension

changed from $5\mathrm{.}2$ to $5\mathrm{.}5.$

iii. All else remaining unchanged, decreasing the price of Brand X should increase the total

brand contribution from the Professional segment. Note that price and the economy

dimension are negatively correlated.

iv$.$ All else remaining unchanged, if the location of Brand X was changed to $13\mathrm{.}8$ on

Performance, and $4\mathrm{.}7$ on Convenience, then its purchase intentions should increase.