Consider the objective function Z = 40x + 50y The minimum number … - Vidyadip

MCQ

Consider the objective function Z = 40x + 50y The minimum number of constraints that are required to maximize Z are:

A
4
B
2
C
3
D
1

✓

Answer

3

Solution:

Since in the given function Z = 40x + 50y, two variables are used.

So, the two constraints will be $\text{x}\geq0,\text{y}\geq0$ and the third one will be of the type

$\text{ax}+\text{by}\geq\text{c}.$

Hence, at least 3 constraints are required.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Linear Programming→Linear Programming — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The absolute minimum value of $f(x)=2 \sin x$ in $\left[0, \frac{3 \pi}{2}\right]$ is

Choose the correct answer from the given four options.

If $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ and $\text{P}(\text{B})=\frac{17}{20},$ then $\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$ equas:

A function $f: R \rightarrow R$ defined as $f(x)=x^2-4 x+5$ is:

$2x + 3y + 4z = 9$,$4x + 9y + 3z = 10,$$5x + 10y + 5z = 11$ then the value of $ x$ is

If $f(x)$ is a differentiable function and $f''(0) = a$ then $\mathop {\lim }\limits_{x \to 0} {{2f(x) - 3f(2x) + f(4x)} \over {{x^2}}}$ is

If the moduli of $a$ and $b $ are equal and angle between them is ${120^o}$ and $a\,.\,b = - \,8,$ then $ | a |$ is equal to

$\int \frac{d x}{x\left(x^{2}+1\right)}$ equals

The length of the perpendicular drawn from the point $(4,-7,3)$ on the $y$-axis is

The area bounded by the parabola y² = 4ax and x² = 4ay is:

$\frac{8\text{a}^3}{3}$
$\frac{16\text{a}^2}{3}$
$\frac{32\text{a}^2}{3}$
$\frac{64\text{a}^2}{3}$

Let $P, Q, R$ and $S$ be the points on the plane with position vectors $-2 \hat{i}-\hat{j}, 4 \hat{i}, 3 \hat{i}+3 \hat{j}$ and $-3 \hat{i}+2 \hat{j}$ respectively. The quadrilateral $\mathrm{PQRS}$ must be a