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:
$$\begin{array} {c } & &&{ \text { Editor } } \\\text { Manuscript } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \mathbf { 1 } & 12 & 8 & 10 & 16 & 13 \\\mathbf { 2 } & 9 & 10 & 14 & 13 & 9 \\\mathbf { 3 } & 17 & 14 & 9 & 18 & 12 \\\mathbf { 4 } & 15 & 7 & 11 & 9 & 18 \\\mathbf { 5 } & 12 & 18 & 22 & 11 & 27 \\\hline\end{array}$$
-What are the linear programming constraints for manuscript 1 and editor C?