Question:
The constraints of a linear programming problem are x+2y≤10 and 6x+3y≤18. Which of the following points lie in the feasible region?
The constraints of a linear programming problem are x+2y≤10 and 6x+3y≤18. Which of the following points lie in the feasible region?
Updated On: Jun 10, 2024
- (0,6)
- (4,3)
- (5,7)
- (1,7)
- (1,3)
Hide Solution
Verified By Collegedunia
The Correct Option is
Solution and Explanation
The correct option is (E): (1,3)
Was this answer helpful?
0
0
Top Questions on Linear Programming Problem
- The optimal value of the linear programming problem
Maximise $z = 2x + 3y$
subject to
$5x + 4y ≤ 20,$
$ 3𝑥 + 5𝑦 ≤ 15,$
$ 2𝑥 + 𝑦 ≤ 4,$
$ 𝑥, 𝑦 ≥ 0,$
is- IIT JAM EN - 2024
- Mathematics for Economy
- Linear Programming Problem
Solve the following linear programming problem graphically:
Maximize \( z = x + y \), subject to constraints:
\[ 2x + 5y \leq 100, \quad 8x + 5y \leq 200, \quad x \geq 0, \quad y \geq 0. \]- CBSE CLASS XII - 2024
- Mathematics
- Linear Programming Problem
- The restrictions imposed on decision variables involved in an objective function of a linear programming problem are called:
- CBSE CLASS XII - 2024
- Mathematics
- Linear Programming Problem
- If \( x + y \leq 55 \) and \( x + y \geq 10 \), with \( x \geq 0 \), \( y \geq 0 \), then the minimum value of the objective function \( z = 7x + 3y \) is: \hfill \break
- GUJCET - 2024
- Mathematics
- Linear Programming Problem
- If the vertices of the finite feasible solution region are \( (0, 6), (3, 3), (9, 9), (0, 12) \), then the maximum value of the objective function \( z = 6x + 12y \) is __________.
- GUJCET - 2024
- Mathematics
- Linear Programming Problem
View More Questions
Questions Asked in KEAM exam
- Find the integrating factor of the differential equation: \[ (3 \sin x \cos x) \, dy = (1 + 3y \sin^2 x) \, dx, \quad {where} \quad 0<x<\frac{\pi}{2} \] is
- KEAM - 2024
- Differential equations
- Evaluate the integral: \[ \int_{0}^{3} |x - 2| \,dx \] is equal to
- KEAM - 2024
- Definite Integral
- Evaluate the integral: \[ \int \frac{6x^3 + 9x^2}{x^4 + 3x^3 - 9x^2} dx. \]
- KEAM - 2024
- Logarithmic Differentiation
- Evaluate the integral: \[ \int \frac{\sin \theta \sin 2\theta}{1 - \cos 2\theta} d\theta. \]
- KEAM - 2024
- Trigonometric Functions
- The general solution of the differential equation \[ 2y \tan x + \frac{dy}{dx} = 5 \sin x \] is:
- KEAM - 2024
- Differential equations
View More Questions