Formulating and graphical solution of LPs Quiz

1. A shop must sell at least 10 wraps ($y$) a day. Which inequality shows this?

• A. $y\leq10$
• B. $x\geq10$
• C. $y\geq10$
• D. $y>10x$

2. The constraint $2x+y\leq14$ is drawn with the origin as a test point. Which part is shaded?

• A. The side not containing the origin
• B. The side containing the origin
• C. Both sides
• D. Only the line itself

3. What is the gradient of the objective line $P=3x+2y$?

• A. $\frac32$
• B. $-\frac23$
• C. $3$
• D. $-\frac32$

4. The vertices of a feasible region are $(0,0)$, $(8,0)$, $(6,2)$ and $(0,6)$. What is the maximum of $P=2x+5y$?

• A. $22$
• B. $30$
• C. $16$
• D. $0$

5. When minimising a cost, how is the objective line moved?

• A. Away from the origin to the last vertex
• B. Perpendicular to its direction
• C. Towards the origin to the first vertex it touches
• D. It is not moved