Podcast
Questions and Answers
Which of the following is a critical assumption in linear programming for MHTCET 2025?
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?
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?
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?
Which of the following describes the feasible region in a linear programming problem?
When solving a linear programming problem graphically, what does the term 'corner point' refer to?
When solving a linear programming problem graphically, what does the term 'corner point' refer to?
If a linear programming problem has multiple optimal solutions, where are these solutions typically located?
If a linear programming problem has multiple optimal solutions, where are these solutions typically located?
What does the term 'binding constraint' refer to in linear programming?
What does the term 'binding constraint' refer to in linear programming?
How does increasing the objective function coefficient of a decision variable affect the optimal solution?
How does increasing the objective function coefficient of a decision variable affect the optimal solution?
Which of the following methods is commonly used to solve linear programming problems with many variables and constraints beyond the graphical method?
Which of the following methods is commonly used to solve linear programming problems with many variables and constraints beyond the graphical method?
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?
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?
Flashcards
Linear Programming
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.
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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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