Three jobs are to be assigned to three machines. Cost for each job-machine combination appears in the table below. Perform the first two steps of the assignment method (subtract the smallest number in each row and subtract the smallest number in each column; then cover with straight lines). At this point in the problem-solving process $$\begin{array} { | l | l | l | l | }
\hline & \text { Machine } & & \
& \text { A } & \text { Machine B } & \text { Machine C } \
\hline \text { Tob 1 } & 11 & 14 & 6 \
\hline \text { Job 2 } & 8 & 10 & 11 \
\hline \text { Tob 3 } & 9 & 12 & 7 \
\hline
\end{array}$$
A) the row for Job 1 contains the values 5, 6, and 0
B) calculations are complete, and the problem is ready for an optimal set of assignments
C) the column for Machine B indicates that it should be retired
D) Job 1 should be performed on Machine B
E) Job 1 should be performed on Machine A

Question

Three jobs are to be assigned to three machines. Cost for each job-machine combination appears in the table below. Perform the first two steps of the assignment method (subtract the smallest number in each row and subtract the smallest number in each column; then cover with straight lines). At this point in the problem-solving process $$\begin{array} { | l | l | l | l | } 
\hline & \text { Machine } & & \
& \text { A } & \text { Machine B } & \text { Machine C } \
\hline \text { Tob 1 } & 11 & 14 & 6 \
\hline \text { Job 2 } & 8 & 10 & 11 \
\hline \text { Tob 3 } & 9 & 12 & 7 \
\hline
\end{array}$$
A) the row for Job 1 contains the values 5, 6, and 0
B) calculations are complete, and the problem is ready for an optimal set of assignments
C) the column for Machine B indicates that it should be retired
D) Job 1 should be performed on Machine B
E) Job 1 should be performed on Machine A

Quizplus · Accepted Answer

ESubtracting the smallest number in each row from all elements of that row, and then subtracting the smallest number in each column from all elements of that column, results in the row for Job 1 containing the values 5, 8, and 0. This process does not determine the final assignment but prepares the matrix for further steps to find the optimal assignment. Therefore, the statement about Job 1 being performed on Machine A is incorrect based on the initial steps of the assignment method. The correct interpretation after the first two steps is that the matrix is adjusted for further analysis, not that specific job-machine assignments can be definitively made.

Three Jobs Are to Be Assigned to Three Machines A) the Row for Job 1 Contains the Values 5