You are in charge of analyzing five new vendors of an important raw material and have been given the information shown below $(1$worst$,10$best$).$ Management has decided that criteria $2$ and $3$ are equally important and that criteria $1$ and $4$ are each four times as important as criterion $2.$ Assume that the sum of the weights equals $100.$ No more than $2$ new vendors are required but each new vendor must exceed a total score of percent of the maximum total points to be considered.