A department head has four managers, and three projects (A, B,C) to be executed. The managers differ in efficiency, and theprojects differ in their intrinsic complexity. The estimate of thetimes each manager would take to complete each project is given inthe matrix below. Formulate a linear programming (LP) model fordetermining how the projects should be assigned, to a manager, soas to minimize the total project completion time. No manager shouldbe assigned more than one project.
Manager
Project
| 1 | 2 | 3 | 4 |
A | 8 | 14 | 12 | 11 |
B | 6 | 9 | 10 | 8 |
C | 7 | 10 | 9 | 11 |
