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QUESTION: 1

The solution to the system of linear inequalities. That is, the set of all points that satisfy all the constraints is called

Solution:

QUESTION: 2

Shape of the feasible region formed by following constraints is x + 2y ≥ 10, 3x + y ≥ 15, x ≥ 0, y ≥ 0

Solution:

QUESTION: 3

Shape of feasible region formed by following constraints is 4x + y ≥ 20, 2x + 3y ≥ 30, x, y ≥ 0.

Solution:

QUESTION: 4

A bounded Region has?

Solution:

QUESTION: 5

Min Z = 6x + 10y

Subjected to x ≥ 6 ; y ≥ 2;

2x + y ≥ 10; x, y ≥ 0

Redundant constraints in this LPP are

Solution:

QUESTION: 6

A toy company manufactures two types of toys A and B. Demand for toy B is atmost half of that if type A. Write the corresponding constraint if x toys of type A and y toys of type B are manufactured.

Solution:

QUESTION: 7

Objective function of a LPP is

Solution:

Linear programming is an optimization technique for a system of linear constraints and a linear objective function. An objective function defines the quantity to be optimized, and the goal of linear programming is to find the values of the variables that maximize or minimize the objective function.

QUESTION: 8

A firm produces x type A and y type B bags. Demand for bag B is atmost one fourth of A. The corresponding constraint is

Solution:

QUESTION: 9

Shape of the feasible region formed by the following constraints is x + y ≤ 2, x + y ≥ 5, x ≥ 0, y ≥ 0

Solution:

QUESTION: 10

The solution set of the inequation 2x + y > 5 is

Solution:

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