CBSE Class 12 Mathematics Linear Programming MCQs

Question : In maximization problem, optimal solution occurring at corner point yields the

• a) highest value of z
• b) lowest value of z
• c) mid values of z
• d) mean values of z

Answer : highest value of z

Question : In a LPP, the objective function is always

• a) Linear
• b) Quadratic
• c) Cubic
• d) Biquadratic

Answer : Linear

Question : A feasible solution to a linear programming problem

• a) Must satisfy all of the problem's constraints simultaneously
• b) Need not satisfy all of the constraints, only the non-negativity constraints
• c) Must be a corner point of the feasible region
• d) Must give the maximum possible profit

Answer : Must satisfy all of the problem's constraints simultaneously

Question :  The corner points of the bounded feasible region of a LPP are A(0,50), B(20, 40), C(50, 100) and D(0, 200) and the objective function is Z = x + 2y. Then the maximum value is

• a) 400
• b) 250
• c) 450
• d) 100

Answer : 400

Question :  The feasible region (shaded) for a L.P.P is shown in the figure. The maximum Z = 5x + 7y is

• a) 43
• b) 47
• c) 45
• d) 49

Answer : 43