Mathematics - Linear Programming Question with Solution | TestHub

Change the inequalities into equations and draw the graph of lines, thus we get the required feasible region as shown below.


The region bounded by the vertices $A(0,5),B(4,3),C(7,0)$
The objective function is maximum at $\mathrm{C}(7,0)$ and $\mathrm{Max}z=5\times 7+2\times 0=35$.