2 Rahul is decorating a room. He needs to decorate at least \(30 \mathrm {~m} ^ { 2 }\) of the walls using paint, panelling or wallpaper.
The cost ( \(\pounds\) ) and the time required (hours) to decorate \(1 \mathrm {~m} ^ { 2 }\) of wall are shown in the table.
| \cline { 2 - 3 }
\multicolumn{1}{c|}{} | Cost | Time |
| Paint | 1.12 | 0.50 |
| Panelling | 4.62 | 0.34 |
| Wallpaper | 1.61 | 0.28 |
Rahul wants to complete decorating the walls in no more than 8 hours and wants to minimise the cost.
Set up an LP formulation for Rahul's problem, defining your variables. You are not required to solve this LP problem.