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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative : Which of the following is correct? - Mathematics and Statistics

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प्रश्न

Choose the correct alternative :

Which of the following is correct?

पर्याय

  • Every LPP has on optional solution

  • Every LPP has unique optional solution.

  • If LPP has two optional solution then it has infinitely many solutions.

  • The set of all feasible solutions of LPP may not be a convex set.

MCQ

उत्तर

If LPP has two optional solution then it has infinitely many solutions.

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Linear Programming Problem (L.P.P.)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Linear Programming - Miscellaneous Exercise 6 [पृष्ठ १०२]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 6 Linear Programming
Miscellaneous Exercise 6 | Q 1.02 | पृष्ठ १०२

संबंधित प्रश्‍न

Which of the following statements is correct?


Select the appropriate alternatives for each of the following question:

The value of objective function is maximum under linear constraints


The maximum value of z = 10x + 6y subject to the constraints 3x + y ≤ 12, 2x + 5y ≤ 34, x, ≥ 0, y ≥ 0 is ______.


Of all the points of the feasible region, the optimal value of z obtained at the point lies ______.


Solve the following LPP:

Maximize z = 5x1 + 6x2 subject to 2x1 + 3x2 ≤ 18, 2x1 + x2 ≤ 12, x1 ≥ 0, x2 ≥ 0.


Solve the following LPP:

Maximize z = 6x + 10y subject to 3x + 5y ≤ 10, 5x + 3y ≤ 15, x ≥ 0, y ≥ 0.


Find graphical solution for the following system of linear in equation:

3x + 4y ≤ 12, x - 2y ≥ 2, y ≥ - 1


Choose the correct alternative :

Feasible region; the set of points which satify.


If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and `(0, 7/3)` the maximum value of z = 4x + 5y is ______.


Maximize z = 7x + 11y subject to 3x + 5y ≤ 26, 5x + 3y ≤ 30, x ≥ 0, y ≥ 0


Maximize z = −x + 2y subjected to constraints x + y ≥ 5, x ≥ 3, x + 2y ≥ 6, y ≥ 0 is this LPP solvable? Justify your answer.


State whether the following statement is True or False:

Objective function of LPP is a relation between the decision variables


A company produces two types of pens A and B. Pen A is of superior quality and pen B is of lower quality. Profits on pens A and B are ₹ 5 and ₹ 3 per pen respectively. Raw materials required for each pen A is twice as that of pen B. The supply of raw material is sufficient only for 1000 pens per day. Pen A requires a special clip and only 400 such clips are available per day. For pen B, only 700 clips are available per day. Formulate this problem as a linear programming problem.


Solve the following linear programming problems by graphical method.

Maximize Z = 40x1 + 50x2 subject to constraints 3x1 + x2 ≤ 9; x1 + 2x2 ≤ 8 and x1, x2 ≥ 0.


In the given graph the coordinates of M1 are


Solve the following linear programming problem graphically.

Maximise Z = 4x1 + x2 subject to the constraints x1 + x2 ≤ 50; 3x1 + x2 ≤ 90 and x1 ≥ 0, x2 ≥ 0.


Solve the following linear programming problem graphically.

Maximize Z = 60x1 + 15x2 subject to the constraints: x1 + x2 ≤ 50; 3x1 + x2 ≤ 90 and x1, x2 ≥ 0.


Sketch the graph of the following inequation in XOY co-ordinate system.

x + y ≤ 0


Sketch the graph of the following inequation in XOY co-ordinate system.

2y - 5x ≥ 0


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