There are two jobs to be assigned to two workers. The cost for worker A on job 1 is $5 and on job 2 is $8. The cost for worker B on job 1 is $10 and on job 2 is $12. How should the work be divided using the assignment method and what is the total cost

To minimize costs, Job 1 should be assigned to Worker A while Job 2 is assigned to Worker B and the total cost will be $17.

Explanation:

a) Data and Calculations:

                          Worker A       Worker B

Cost of Job 1          $5                  $10

Cost of Job 2         $8                  $12

Job assignments 1:

                                    Worker A       Worker B   Total Cost

If Job 1 is assigned to        $5                                   $5

Then Job 2 is assigned to                     $12              12

Total cost of jobs               $5                $12            $17

Job assignments 2:

                                    Worker A       Worker B   Total Cost

If Job 1 is assigned to                            $10            $10

Then Job 2 is assigned to $8                                    8

Total cost of jobs               $8               $10            $18

Job assignment 1 should be adopted to minimize cost by $1.

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