Question

Can someone explain how to do this? I keep getting the wrong answer, I'm clearly not eliminating right?

J.C.​ Howard's medical testing company in Kansas wishes to assign a set of jobs to a set of machines. The following table provides the production data of each machine when performing the specific​ job:

Machine

​a) The optimal assignment of jobs to machine that will maximize total production​ is:

Machine A --

Machine B --

Machine C --

Machine D --

b)The total production of assignment = __ units (as a whole number)

Answer 1

(a)

Given data:

Job	Machine
A	B	C	D
1	9	11	5	8
2	12	8	13	9
3	7	9	8	10
4	10	9	7	6

The maximum production is 13

We have to substract each production data from 13

Job	Machine
A	B	C	D
1	13-9=4	13-11=2	13-5=8	13-8=5
2	13-12=1	13-8=5	13-13=0	13-9=4
3	13-7=6	13-9=4	13-8=5	13-10=3
4	13-10=3	13-9=4	13-7=6	13-6=7

Final table will look like as follows.

Job	Machine
A	B	C	D
1	4	2	8	5
2	1	5	0	4
3	6	4	5	3
4	3	4	6	7

Identify the minimum for each row.

Job	Machine
A	B	C	D
1	4	2	8	5
2	1	5	0	4
3	6	4	5	3
4	3	4	6	7

(a)

Machine A: Job 4

Machine B: Job 1

Machine C: Job 2

Machine D: Job 3

(b)

Total production:

10+11+13+10 = 44