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The Trip Matrix and the Current Block Plan for a Company

question 189

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The trip matrix and the current block plan for a company follow. The two cells in the block plan marked with "ES" are empty space. Assume that material is moved according to rectilinear distances and that the distance between adjacent centers is one unit. It costs $1 to move one unit of material over one unit of distance. Trips Between Centers  The trip matrix and the current block plan for a company follow. The two cells in the block plan marked with  ES  are empty space. Assume that material is moved according to rectilinear distances and that the distance between adjacent centers is one unit. It costs $1 to move one unit of material over one unit of distance. Trips Between Centers   Current Block Plan  \begin{array} { | l | l | }  \hline 1 & 2 \\ \hline 4 & \text { ES } \\ \hline 3 & \text { ES } \\ \hline \end{array}  To reduce materials- handling costs, the following revised block plan is being considered.  \begin{array} { | l | l | }  \hline 1 & 2 \\ \hline 4 & 3 \\ \hline \text { ES } & \text { ES } \\ \hline \end{array}  Compute the  total cost  of each plan (current and revised) , along with their cost difference. The total cost savings of changing over to the revised block plan is  A)  less than or equal to 50. B)  more than 50 but less than or equal to 80. C)  more than 80 but less than or equal to 110. D)  more than 110. Current Block Plan 124 ES 3 ES \begin{array} { | l | l | } \hline 1 & 2 \\\hline 4 & \text { ES } \\\hline 3 & \text { ES } \\\hline\end{array} To reduce materials- handling costs, the following revised block plan is being considered.
1243 ES  ES \begin{array} { | l | l | } \hline 1 & 2 \\\hline 4 & 3 \\\hline \text { ES } & \text { ES } \\\hline\end{array}
Compute the "total cost" of each plan (current and revised) , along with their cost difference. The total cost savings of changing over to the revised block plan is

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