Mathematics D1 WDM11: Linear Programming Topical Past Paper Questions

A linear programming problem is formulated as follows Maximise $$ P=6x+5y $$ Subject to $$ y\leqslant3x+10 $$ $$ x+4y\leqslant162 $$ $$ 5x+2y\leqslant200 $$ $$ y\geqslant15 $$ $$ \begin{array}{l}x=0\\ x=1\end{array} $$ (a) Complete the graph in the answer book to show these inequ…

Figure 4 The feasible region, $R$, of a linear programming problem is shown in Figure 4. The boundaries form part of the feasible region. The regions excluded from the feasible region have been shaded. Given that one of the constraints is $$ 3x+2y\geqslant48 $$ (a) state the rema…

Figure 4 Figure 4 shows the constraints of a linear programming problem in x and y, where R is the feasible region. The equations of three of the lines, and the four intersection points, A, B, C and D, are shown. The four vertices of R are $ A\left(\frac{9}{4}, \frac{21}{2}\right…