Linear programming Quiz

1. 'At least 3 adults' is written as:

• A. $x\le3$
• B. $x<3$
• C. $x\ge3$
• D. $x>3$

2. For the inequality $x+y\ge5$, which side of the boundary line is shaded?

• A. the side containing $(0,0)$
• B. the side not containing $(0,0)$
• C. both sides
• D. neither side

3. The feasible region has vertices $(0,0)$, $(4,0)$, $(3,2)$ and $(0,3)$. What is the maximum of $P=2x+3y$?

• A. $8$
• B. $9$
• C. $13$
• D. $12$

4. Which point satisfies both $x+y\le6$ and $y\le2x$?

• A. $(2,3)$
• B. $(5,2)$
• C. $(1,4)$
• D. $(4,3)$

5. The objective line is parallel to one edge of the feasible region. What happens?

• A. There is no optimal solution
• B. There is exactly one optimal point
• C. Every point on that edge is optimal
• D. The origin is optimal