$.$ The chain store officials for the store referenced in Q$2$ found that locating the operations in the centre of gravity point, as obtained in the above problem, would cost them a lot. The operational costs of renting and maintaining the site will be $$2\mathrm{.}5$ Million per year. In view of this, they are now considering other options. They have identified three other candidate locations whose cost of operations will be less than the centre of gravity location by $10$ per cent, $20$ per cent and $18$ per cent, respectively. The locational coordinates for these three are $(20,40),(40,25),$ and $(35,45),$ respectively.