Applied Mathematics

Linear Programming

Easy

Objective function of a LPP represent

a relation between the variables

a constant

a function to be minimised

a function to be optimised

✅ Correct Option: 4

The objective function of an LPP represents a quantity (such as profit or cost) that needs to be optimised, that is, either maximised or minimised, subject to the given constraints.

2023: 22 May Shift 3

If the objective function for an L.P.P. is $z = 3x + 4y$ and the corner points for unbounded feasible region are (9, 0), (4, 3), (2, 5) and (0, 8), then the minimum value of $z$ occurs at :

2023: 11 Aug Shift 1

For the LPP, Min $Z = 6x + 10y$ subject to $x \geq 6, y \geq 3, 2x + y \geq 10, x \geq 0, y \geq 0$ , redundant constraint is :

2022: 25 May Shift 1

The minimum value of $Z = 30x + 10y$ subject to the constraints $x + 2y \leq 30, 3x + y \geq 30, 4x + 3y \geq 60, x, y \geq 0$ is

2023: 7 June Shift 1

Which constraints correctly represent the situation 'mixture of x and y must be at least 8 units' ?

2023: 7 June Shift 1

The feasible reason for the constraints $x \geq 0$ , $x + y \leq 1$ and $x - y \leq 1$ , is situated in :

(A) I and II quadrant only

(B) I Quadrant

(D) IV Quadrant

(E) I , II , III and IV Quadrant

Choose the correct answer from the option given below :

2026: 14 May Shift 2

Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	In a L.P.P the objective function is always	I.	Finite
B.	Feasible region for an L.P.P is always a	II.	Convex set
C.	In an L.P.P having bounded feasible region, the maximum value of the objective function $z = ax + by$ is always	III.	Linear
D.	Feasible region is the set of points which satisfy	IV.	All the given constraints

Choose the correct answer from the options given below:

Objective function of a LPP represent

Solution

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