This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 7 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following is a key assumption of linear programming? A) Non-linearity. B) Discrete variables. C) Proportionality. D) Randomness. Show Answer Correct Answer: C) Proportionality. 2. What are vertices in the context of the feasible region? A) Points where the constraints do not intersect. B) The corner points of the feasible region, where the constraints intersect, and potential solutions to the linear programming problem are evaluated. C) Random points within the feasible region. D) The edges of the feasible region that connect the corner points. Show Answer Correct Answer: B) The corner points of the feasible region, where the constraints intersect, and potential solutions to the linear programming problem are evaluated. 3. What does the graph of a linear inequality divide the plane into? A) Circles. B) Two half-planes. C) Parabolas. D) A triangle. Show Answer Correct Answer: B) Two half-planes. 4. Graph the inequality 3x + 2y < 6 on a coordinate plane. A) Graph the line y = 0.5x-1 as a solid line and shade below it. B) Graph the line y =-1.5x + 3 as a dashed line and shade below it. C) Graph the line y =-2x + 6 as a dashed line and shade above it. D) Graph the line y = 1.5x + 3 as a solid line and shade above it. Show Answer Correct Answer: B) Graph the line y =-1.5x + 3 as a dashed line and shade below it. 5. The solution region in LPP is called A) Infeasible region. B) Unbounded region. C) Feasible region. D) The vast green field?. Show Answer Correct Answer: C) Feasible region. 6. What is an infeasible solution in linear programming? A) An infeasible solution is one that has no variables defined. B) An infeasible solution is one that does not satisfy all constraints in a linear programming problem. C) An infeasible solution is one that maximizes the objective function. D) An infeasible solution is one that satisfies all constraints but is not optimal. Show Answer Correct Answer: B) An infeasible solution is one that does not satisfy all constraints in a linear programming problem. 7. Given the Objective Function is P = 60x + 125y. Find the corner point if thevalue of profit is 1105. A) (8, 9). B) (7, 5). C) (5, 3). D) (8, 5). Show Answer Correct Answer: D) (8, 5). 8. Objective function:P = 30x + 50yThe vertex that maximizes profit is (0, 6). What is the profit? A) $ 300. B) $ 280. C) $ 400. D) $ 240. Show Answer Correct Answer: A) $ 300. 9. Lexie is making apple cobblers and apple pies for a bake sale ..... x= # of cobblers and y is # of piesShe makes $ 6 profit for each cobbler and $ 5 profit for each pie. Select an objective function that models the total profit from cobblers and pies. A) $P=2x+3y$. B) $P=5x+6y$. C) $P=3x+2y$. D) $P=6x+5y$. Show Answer Correct Answer: D) $P=6x+5y$. 10. Which application involves determining the best way to allocate resources? A) Resource Allocation. B) Solution Methods. C) Diet Problems. D) Production Scheduling. Show Answer Correct Answer: A) Resource Allocation. 11. What is a key advantage of using NLP over Linear Programming (LP) in supply chain modeling? A) NLP is less computationally intensive. B) LP cannot handle continuous variables. C) NLP provides better modeling of reality by capturing non-linear relationships. D) The results of NLP are easier to interpret. Show Answer Correct Answer: C) NLP provides better modeling of reality by capturing non-linear relationships. 12. An objective function in a linear program can be which of the following? A) A maximization function. B) A quadratic maximization function. C) A nonlinear maximization function. D) An uncertain quantity. Show Answer Correct Answer: A) A maximization function. 13. In the graphical method, what does the feasible region represent? A) Infeasible solutions. B) Randomly generated points. C) Only the optimal solution. D) All possible solutions that satisfy the constraints. Show Answer Correct Answer: D) All possible solutions that satisfy the constraints. 14. What is meant by 'divisibility' in linear programming? A) Decision variables can only be whole numbers. B) Decision variables can take any fractional value. C) Only integers can be used. D) Variables must be whole numbers. Show Answer Correct Answer: B) Decision variables can take any fractional value. 15. If a linear programming problem has more than one optimal solution, it is called: A) Unbounded. B) Infeasible. C) Degenerate. D) Multiple optimal solutions. Show Answer Correct Answer: D) Multiple optimal solutions. 16. How can you verify the solution obtained from the graphical method in linear programming? A) Substitute values back into the objective function and constraints to verify the solution. B) Use a different graphical method to verify. C) Check if the solution is the same as the initial guess. D) Ask a friend to confirm the solution. Show Answer Correct Answer: A) Substitute values back into the objective function and constraints to verify the solution. 17. In Phase 1, if Max Z* $<$ A) Feasible solution. B) No feasible solution. C) Optimum solution. D) Basic solution. Show Answer Correct Answer: B) No feasible solution. 18. How can LP be applied in finance? A) To Design Buildings. B) To Write Poetry. C) To Optimize Investment Portfolios. D) To Predict Weather Patterns. Show Answer Correct Answer: C) To Optimize Investment Portfolios. 19. Which method is used for solving linear models? A) Graphical. B) Simplex. C) Solver. D) All. Show Answer Correct Answer: D) All. 20. How do you identify feasible solutions in a graphical method? A) Feasible solutions are found by calculating the objective function value. B) Feasible solutions are determined by selecting random points on the graph. C) Feasible solutions are identified by drawing only the objective function line. D) Feasible solutions are identified by plotting constraints and finding the overlapping feasible region. Show Answer Correct Answer: D) Feasible solutions are identified by plotting constraints and finding the overlapping feasible region. 21. What is the purpose of conducting sensitivity analysis in linear programming? A) To confuse students. B) To skip steps in the process. C) To understand how changes impact the optimal solution. D) To avoid solving problems. Show Answer Correct Answer: C) To understand how changes impact the optimal solution. 22. How can LP be used in supply chain operations? A) None of the above. B) To optimize production levels. C) To allocate resources effectively. D) To determine transportation routes. Show Answer Correct Answer: C) To allocate resources effectively. 23. Explain the significance of the feasible region in a linear programming problem. A) The feasible region is the area where no solutions exist. B) The feasible region only includes the optimal solution. C) The feasible region is irrelevant to the optimization process. D) The feasible region represents all possible solutions that satisfy the constraints. Show Answer Correct Answer: D) The feasible region represents all possible solutions that satisfy the constraints. 24. Find the inverse of the matrix [[5, 7], [2, 3]]. A) [[1, 2], [3, 4]]. B) [[0, 1], [1, 0]]. C) [[3, -7], [-2, 5]]. D) [[5, 3], [2, 7]]. Show Answer Correct Answer: C) [[3, -7], [-2, 5]]. 25. What is one benefit of linear programming for forest-based industries? A) Increased waste and inefficiencies. B) Reduced decision-making based on intuition. C) Enhanced sustainability through optimized resource allocation. D) Ignoring environmental constraints. Show Answer Correct Answer: C) Enhanced sustainability through optimized resource allocation. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 12 Linear Programming Quiz 1Class 12 Mathematics Chapter 12 Linear Programming Quiz 2Class 12 Mathematics Chapter 12 Linear Programming Quiz 3Class 12 Mathematics Chapter 12 Linear Programming Quiz 4Class 12 Mathematics Chapter 12 Linear Programming Quiz 5Class 12 Mathematics Chapter 12 Linear Programming Quiz 6Class 12 Mathematics Chapter 12 Linear Programming Quiz 8Class 12 Mathematics Chapter 12 Linear Programming Quiz 9Class 12 Mathematics Chapter 12 Linear Programming Quiz 10Class 12 Mathematics Chapter 12 Linear Programming Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books