A Large Book Publisher Has Five Manuscripts That Must Be

Essay

A large book publisher has five manuscripts that must be edited as soon as possible. Five editors are available for doing the work, however their working times on the various manuscripts will differ based on their backgrounds and interests. The publisher wants to use an assignment method to determine who does what manuscript. Estimates of editing times (in hours) for each manuscript by each editor is:
$$\begin{array} {c } & &&{ \text { Editor } } \\\text { Manuscript } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \mathbf { 1 } & 12 & 8 & 10 & 16 & 13 \\\mathbf { 2 } & 9 & 10 & 14 & 13 & 9 \\\mathbf { 3 } & 17 & 14 & 9 & 18 & 12 \\\mathbf { 4 } & 15 & 7 & 11 & 9 & 18 \\\mathbf { 5 } & 12 & 18 & 22 & 11 & 27 \\\hline\end{array}$$
-If the optimal assignments include manuscript 1 to editor B, manuscript 2 to editor E, and manuscript 3 to editor C with a total editing time of 47 minutes, what manuscripts are assigned to editors D and A?