Quiz about Linear Programming

Question 1

The solution set of the inequality $$3 x+5 y<4$$ is

Accepted Answer

Covalent bond

Answer

An open half-plane containing the origin.

Answer

an open half-plane not containing the origin.

Answer

the whole $$X Y$$-plane not containing the line $$3 x+5 y=4$$.

Answer

a closed half plane containing the origin.

Question 2

The corner points of the shaded unbounded feasible region of an LPP are $$(0,4)$$, $$(0.6,1.6)$$ and $$(3,0)$$ as shown in the figure. The minimum value of the objective function $${Z}=4 {x}+6 {y}$$ occurs at

![](http://admin.getprephub.com/media/editor/mh11_20221009205310891077.png)

Accepted Answer

Covalent bond

Answer

At every point of the line-segment joining the points $$(0.6,1.6)$$ and $$(3,0)$$

Answer

$$(0.6,1.6)$$ only

Answer

$$(3,0)$$ only

Answer

$$(0.6,1.6)$$ and $$(3,0)$$ only

Question 3

Solve the following Linear Programming Problem graphically:

Maximize $${Z}=400 {x}+300 {y}$$ 
subject to 
$$x+y \leq 200,$$
$$x \leq 40,$$
$$x \geq 20,$$
$$y \geq 0$$

Accepted Answer

Covalent bond

Answer

$$64000$$ ,when $$x=40, y=160$$

Answer

$$44000$$ ,when $$x=10, y=180$$

Answer

$$65000$$, when $$x=80, y=260$$

Answer

None of the above

Question 4

Make a rough sketch of the region $$\{(x, y): 0 \leq y \leq x^{2}, 0 \leq y \leq x, 0 \leq x \leq 2\}$$ and find the area of the region using integration.

Accepted Answer

Covalent bond

Answer

$$\frac{11}{6}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{16}{6}$$

Answer

None of the above

Linear Programming Cbse Class 12 Maths Problems and Solutions

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