A Large Book Publisher Has Five Manuscripts That Must Be

question 91

Short Answer

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:
$$\begin{array} {c } & &&{ \text { Editor } } \\\text { Manuscript } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \mathbf { 1 } & 12 & 8 & 10 & 16 & 13 \\\mathbf { 2 } & 9 & 10 & 14 & 13 & 9 \\\mathbf { 3 } & 17 & 14 & 9 & 18 & 12 \\\mathbf { 4 } & 15 & 7 & 11 & 9 & 18 \\\mathbf { 5 } & 12 & 18 & 22 & 11 & 27 \\\hline\end{array}$$
-a) How many supply-side constraints are needed?
b) How many demand-side constraints are needed?
c) How many variables are involved in this assignment method?

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