Awards Committees Need to Be Formed to Review Potential Award

question 85

Essay

Awards committees need to be formed to review potential award recipients. In the past, three people have been assigned to review each applicant. The only stipulation is that a reviewer cannot be assigned to an applicant if the applicant is a co-worker. The matrix below shows 9 reviewers, 3 candidates, and a matrix. If an entry in the matrix contains an "X", then that specific reviewer is ineligible to review an applicant's material. For example, reviewer 1 cannot review materials submitted by candidate B. It is possible that some reviewers may not receive an assignment.
Applicant
$$\begin{array} { | c | c | c | c | } \hline \text { Reviewer } & \text { A } & \text { B } & \text { C } \\\hline 1 & & \mathrm { X } & \\\hline 2 & \mathrm { X } & & \\\hline 3 & & & \mathrm { X } \\\hline 4 & & & \\\hline 5 & \mathrm { X } & & \\\hline 6 & & \mathrm { X } & \\\hline 7 & & \mathrm { X } & \\\hline 8 & & & \mathrm { X } \\\hline 9 & & \mathrm { X } & \\\hline\end{array}$$
-A partial solution to this problem is shown below, where the number 1 indicates when a reviewer is assigned to an applicant. Assign two reviewers to Applicant B and 1 additional reviewer to Applicant C.
Applicant
$$\begin{array} { | c | c | c | c | } \hline \text { Reviewer } & \mathrm { A } & \mathrm { B } & \mathrm { C } \\\hline 1 & & X & \\\hline 2 & X & & 1 \\\hline 3 & & & X \\\hline 4 & 1 & & \\\hline 5 & X & & \\\hline 6 & & X & \\\hline 7 & & X & \\\hline 8 & 1 & & X \\\hline 9 & & X & \\\hline \text { Demand } & 2 & 2 & 2 \\\hline \text { Assigned } & 2 & & \\\hline\end{array}$$

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