Class 12

31. Linear Programming question bank (Maths)

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Q1.

The shaded region in the figure is bounded by the inequalities. Find the correct set of inequalities for the shaded region.

(A)

\(14x + 5y \ge 70\)

(B)

\(y \le 14\)

(C)

\(x - y \le 5\)

(D)

\(14x + 5y \le 70\)

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Q2.

An \(n\)-tuple \((x_1,x_2,....,x_n)\) which satisfies all the constraints of a linear programming problem and for which the objective function is maximum (compared to all \(n\)-tuples which satisfy all the constraints) is called

(A)

a solution

(B)

a feasible solution

(C)

an optimal solution

(D)

an actual solution

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