2. A school entrance examination consists of three papers - Mathematics, English and Verbal Reasoning. Three teams of markers are to mark one style of paper each. The table below shows the average time, in minutes, taken by each team to mark one script for each style of paper.
| \cline { 2 - 4 }
\multicolumn{1}{c|}{} | Maths | English | Verbal |
| Team 1 | 3 | 9 | 2 |
| Team 2 | 4 | 7 | 1 |
| Team 3 | 5 | 8 | 3 |
It is desired that the scripts are marked as quickly as possible.
Formulate this information as a linear programming problem.
- State your decision variables.
- Write down the objective function in terms of your decision variables.
- Write down the constraints, explaining what each one represents.