This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. When feasible region is such that feasible solution can extend to infinity, it is called A) Infeasible. B) Unbounded. C) Infinite. D) The vast open sky. Show Answer Correct Answer: B) Unbounded. 2. The vertices of a feasible region are (4, 12), (0, 9), (6, 8), and (10, 3). Find themaximum value of P if P = 80x + 20y? A) 890. B) 840. C) 860. D) 880. Show Answer Correct Answer: C) 860. 3. How can linear programming be applied in manufacturing companies? A) Forecasting market trends. B) Managing human resources. C) Optimizing production planning. D) Analyzing financial statements. Show Answer Correct Answer: C) Optimizing production planning. 4. What does the term 'unbounded solution' refer to in linear programming? A) A solution that has no constraints. B) A solution that cannot be determined. C) A solution that is always feasible. D) A solution that can increase indefinitely. Show Answer Correct Answer: D) A solution that can increase indefinitely. 5. In a maximization LPP, the value of the objective function: A) Always decreases. B) Remains the same. C) Increases in the feasible region. D) Is unaffected by constraints. Show Answer Correct Answer: C) Increases in the feasible region. 6. How can LP be applied in healthcare? A) To optimize staff scheduling. B) None of the above. C) To manage investment portfolios. D) To plan crop rotations. Show Answer Correct Answer: C) To manage investment portfolios. 7. A store sells two types of shirts, regular shirts and premium shirts. The regular shirts cost $ 20 each and the premium shirts cost $ 30 each. The store wants to sell at least 10 regular shirts and at least 5 premium shirts. Write a system of linear inequalities to represent this situation. A) X <= 10 and y >= 5. B) X <= 10 or y <= 5. C) X >= 10 and y >= 5. D) X <= 10 and y <= 5. Show Answer Correct Answer: C) X >= 10 and y >= 5. 8. What is an optimal solution in linear programming? A) The solution that only satisfies the constraints without optimizing the objective. B) A solution that is not feasible for the problem. C) Any random point in the solution space. D) The best feasible solution that maximizes or minimizes the objective function. Show Answer Correct Answer: D) The best feasible solution that maximizes or minimizes the objective function. 9. What is the purpose of scenario analysis in LP using Microsoft Excel? A) To confuse students. B) To complicate the process. C) To avoid solving problems. D) To explore different scenarios and evaluate their impact. Show Answer Correct Answer: D) To explore different scenarios and evaluate their impact. 10. Question 1:In a linear programming problem, what does the feasible region represent? A) Set of impossible solutions. B) Set of all possible solutions that satisfy the constraints and are within the bounds of the problem. C) Set of solutions that violate the constraints. D) Set of solutions that are outside the bounds of the problem. Show Answer Correct Answer: B) Set of all possible solutions that satisfy the constraints and are within the bounds of the problem. 11. $3x+2y\le12$ A) (2, 0) and (0, 4). B) (-2, 0) and (0, -4). C) (4, 0) and (0, 6). D) (6, 0) and (0, 4). Show Answer Correct Answer: C) (4, 0) and (0, 6). 12. Usage of linear and nonlinear equations and inequalities A) Maximum profit point. B) Intersection of the profit line and a constraint. C) Corner point. D) Intersection of two or more constraints. E) None of the above. Show Answer Correct Answer: E) None of the above. 13. How do you interpret the solution set of a linear programming problem? A) The solution set is limited to integer values only. B) The solution set only includes the optimal solution. C) The solution set represents all possible outcomes regardless of constraints. D) The solution set includes all feasible solutions that meet the constraints. Show Answer Correct Answer: D) The solution set includes all feasible solutions that meet the constraints. 14. Which vertex yields the highest profit? A) (0, 0). B) (0, 8). C) (3, 6). D) (6, 0). Show Answer Correct Answer: C) (3, 6). 15. What is the main benefit of LP in optimizing supply chain operations? A) To slow down production. B) To determine cost-effective transportation. C) To increase costs. D) To complicate operations. Show Answer Correct Answer: B) To determine cost-effective transportation. 16. Which type of non-linear function is often found in cost and revenue models in supply chains, involving terms like x2? A) Exponential Functions. B) Logarithmic Functions. C) Concave Functions. D) Quadratic Functions. Show Answer Correct Answer: D) Quadratic Functions. 17. Adding a constraint to a linear programming problem increases the size of the feasible region. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 18. A feasible solution is said to be an ..... solution if it minimizes the total transportationcost A) Non degenerate basic feasible. B) Basic feasible. C) Feasible. D) Optimal. Show Answer Correct Answer: D) Optimal. 19. What is the key idea behind the graphical method of solving LP problems? A) Ignoring constraints. B) Guessing solutions. C) Plotting constraints to visually represent the feasible region. D) Avoiding graphs. Show Answer Correct Answer: C) Plotting constraints to visually represent the feasible region. 20. In an LPP, decision variables are: A) Constant values. B) Fixed coefficients. C) Unknowns to be determined. D) Objective functions. Show Answer Correct Answer: C) Unknowns to be determined. 21. It is a method for finding a maximum or minimum value of some quantity, given a set of constraints. A) Operations research. B) Maximization. C) Minimization. D) Linear programming. Show Answer Correct Answer: D) Linear programming. 22. Solve the system by substitution. 2x-y =-5 y = 2x + 5 A) Infinite number of solutions. B) (-4, -8). C) (-4, 5). D) (-4, 3). Show Answer Correct Answer: A) Infinite number of solutions. 23. Rewrite this inequality in slope-intercept form.3x + 6y > 12 A) Y <-$^{1}$/$_{2}$x + 2. B) Y >-$^{1}$/$_{2}$x + 2. C) Y > $^{1}$/$_{2}$x + 2. D) Y >-3x + 2. Show Answer Correct Answer: B) Y >-$^{1}$/$_{2}$x + 2. 24. What are the main components of a linear programming model? A) Objective function, decision variables, constraints, non-negativity restrictions. B) Decision-making process, feedback loops, data analysis, forecasting. C) Cost-benefit analysis, stakeholder engagement, project management, performance metrics. D) Profit maximization, resource allocation, market analysis, risk assessment. Show Answer Correct Answer: A) Objective function, decision variables, constraints, non-negativity restrictions. 25. Solve the optimization problem:Maximize 4x + 3y subject to the constraints x >= 0, y >= 0, and x + y <= 5. A) 7. B) 20. C) 10. D) 15. Show Answer Correct Answer: B) 20. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 12 Linear Programming Quiz 1Class 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 7Class 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