Tool Bin Location. Let us consider again the data from the LaRosa tool bin location problem discussed in Section $14\mathrm{.}3.$ a$.$ Suppose we know the average number of daily trips made to the tool bin from each production station. The average number of trips per day are $12$ for fab rication, $24$ for Paint, $13$ for Subassembly $1,7$ for Subassembly $2,$ and $17$ for Assembly. It seems as though we would want the tool bin closer to those stations with high average numbers of trips. Develop a new unconstrained model that minimizes the sum of the demand$-$weighted distance defined as the product of the demand $($measured in number of trips$)$ and the distance to the station. b$.$ Solve the model you developed in part $($a$).$ Comment on the differences between the unweighted distance solution given in Section $14\mathrm{.}3$ and the demand$-$weighted solution.$$