A soft drink distributor takes the contract for the sale of soft drinks at a cricket stadium during a one$-$day match. He has five sales boys to assign to three areas of the stadium. The table shows the estimated sales that can be made with different assignments.

No$.$ of persons

assigned East stand North stand Club stand

$1154530$

$2309060$

$36013590$

$4120180120$

$5150180150$

Using Dynamic programming problem, how he should assign the boys in order to maximize his sales.