A shop has 4 machinists to be assigned to 4 machines. The hourly cost of having each and every machine operated by each machinist is as follows:
| |
Machine |
| Machinist |
A |
B |
C |
D |
| 1 |
$10 |
$2 |
$8 |
$6 |
| 2 |
9 |
5 |
11 |
9 |
| 3 |
12 |
7 |
14 |
14 |
| 4 |
3 |
1 |
4 |
2 |
a. Formulate the linear programming model for this problem.
b. Find out the optimal assignment and calculate total minimum cost.