Linear Programming for MHTCET 2025

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Questions and Answers

Which of the following is a critical assumption in linear programming for MHTCET 2025?

  • The problem is dynamic and changes over time.
  • The problem involves multiple objectives.
  • Resources are unlimited.
  • Decision variables are continuous and there are linear relationships between all variables, and the objective function. (correct)

A company manufactures two products, A and B. Each product requires time on two machines: Machine 1 and Machine 2. Product A requires 1 hour on Machine 1 and 2 hours on Machine 2. Product B requires 3 hours on Machine 1 and 1 hour on Machine 2. Machine 1 is available for 9 hours, and Machine 2 is available for 8 hours. The profit per unit of A and B is $30 and $40 respectively. What is the objective function if A = x and B = y?

  • Maximize $x + y$
  • Maximize $30x + 40y$ (correct)
  • Minimize $30x + 40y$
  • Minimize $9x + 8y$

What is the purpose of solving a linear programming problem for MHTCET?

  • To find any feasible solution to the problem.
  • To identify all possible solutions.
  • To complicate the decision-making process.
  • To find the best possible (optimal) solution that maximizes or minimizes the objective function while satisfying all constraints. (correct)

Which of the following describes the feasible region in a linear programming problem?

<p>The set of all solutions that satisfy all constraints simultaneously. (B)</p> Signup and view all the answers

When solving a linear programming problem graphically, what does the term 'corner point' refer to?

<p>A point where two or more constraint lines intersect on the boundary of the feasible region. (B)</p> Signup and view all the answers

If a linear programming problem has multiple optimal solutions, where are these solutions typically located?

<p>Along one of the edges of the feasible region. (B)</p> Signup and view all the answers

What does the term 'binding constraint' refer to in linear programming?

<p>A constraint that is satisfied as an equality at the optimal solution. (D)</p> Signup and view all the answers

How does increasing the objective function coefficient of a decision variable affect the optimal solution?

<p>It may increase the value of that decision variable in the optimal solution, or change the optimal solution entirely. (C)</p> Signup and view all the answers

Which of the following methods is commonly used to solve linear programming problems with many variables and constraints beyond the graphical method?

<p>The Simplex method (A)</p> Signup and view all the answers

In a maximization problem, if increasing a 'less than or equal to' constraint's right-hand side value does not change the optimal objective function value, what does this indicate?

<p>The constraint is redundant. (C)</p> Signup and view all the answers

Flashcards

Linear Programming

A method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships.

Study Notes

Linear Programming for MHTCET 2025

  • This is a Beta 4.0 batch by Ankush Sir, presented by GanitAnk.
  • The session focuses on Class 12th Maths for the MHTCET 2025 exam.
  • GanitAnk provides various resources, including crash courses, batches, and test series for MHTCET 2025.
  • MHTCET 2025 combo batch includes Right Angle (PYQ) + Alpha 4.0 Test Series

GanitAnk Resources

  • Sigma 2.0 (Fast track) batch is available.
  • Right Angle (PYQ Video Solutions) are available for PCM, Maths, Chemistry, and Physics.
  • Zeta Batch is a detailed MHTCET course with combo options for Maths + Chem, Maths, and Chemistry separately.
  • Students can earn GanitCoins through referrals.

Social Media and Contact Information

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Topics Covered

  • Includes preparation tips, important topics, syllabus overview, study tips, and practice questions for MHTCET 2025 maths.
  • Covers previous year papers, best books, crash courses, shortcuts, formula sheets, and mock tests.
  • High weightage topics, revision plans, time management tips, practice tests, and online classes are discussed.
  • Includes tips and tricks for beginners, question banks, and strategies for scoring high ranks.
  • Addresses last-minute preparation, chapter-wise breakdown, PDF downloads, and free study material.
  • Provides previous year analysis, practice papers, problem-solving techniques, and preparation plans.
  • Mentions best coaching institutes, study guides, topper tips, formula revision, and strategies for beginners.
  • Focuses on tips for speed and accuracy, free resources, and exam patterns.

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