This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 29 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 29 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the purpose of conducting sensitivity analysis in LP models? A) To optimize decision variables. B) All of the above. C) To visualize geometric relationships. D) To understand the impact of changes on the optimal solution. Show Answer Correct Answer: C) To visualize geometric relationships. 2. A linear programming problem can be both unbounded and infeasible.2. True or False? A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 3. What does sensitivity analysis in linear programming involve? A) Solving the problem analytically. B) Using only one decision variable. C) Ignoring constraints. D) Visually analyzing changes in coefficients. Show Answer Correct Answer: D) Visually analyzing changes in coefficients. 4. Identify if the function f(x) = 3x + 5 is one-to-one. Justify your answer. A) No, the function f(x) = 3x + 5 is not one-to-one. B) The function is one-to-one only for x > 0. C) The function f(x) = 3x + 5 is a constant function. D) Yes, the function f(x) = 3x + 5 is one-to-one. Show Answer Correct Answer: D) Yes, the function f(x) = 3x + 5 is one-to-one. 5. Consider the following linear programming problem:Maximize Z = 12x + 10y Subject to:4x + 3y<=480 2x + 3y<=360 all variables >= 0 Which of the following points (x, y) could be a feasible corner point? A) (40, 48). B) (120, 0). C) (180, 120). D) None of the above. Show Answer Correct Answer: B) (120, 0). 6. Y is not more than x(y tidak melebihi x) A) $y\le x$. B) $y C) $y>x$. D) $y\ge x$. Show Answer Correct Answer: A) $y\le x$. 7. A basic solution is said to be degenerated if A) One or more basic variable become zero. B) Greater than zero. C) Equal to one. D) None of above. Show Answer Correct Answer: A) One or more basic variable become zero. 8. Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.Which inequality represents the situation? A) 2x+3y<6. B) X+y<8. C) X+y<6. D) X+y>8. Show Answer Correct Answer: B) X+y<8. 9. The objective function in an LP problem is: A) Irrelevant. B) Either maximized or minimized. C) Always minimized. D) Always maximized. Show Answer Correct Answer: B) Either maximized or minimized. 10. What does 'certainty' mean in the context of linear programming? A) Values are estimated. B) All values are known. C) Values are uncertain. D) Values can change. Show Answer Correct Answer: B) All values are known. 11. What is the first step in formulating a Linear Programming problem? A) Identify the constraints. B) Determine the decision variables. C) Analyze the feasible region. D) Define the objective function. Show Answer Correct Answer: B) Determine the decision variables. 12. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $ 38. The school took in $ 52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? A) 1s + 3c = 382s + 3c = 52. B) 3s + 1c = 383s + 2c = 52. C) S + c = 38s + c = 52. D) 3s + 3c = 381s + 2c = 52. Show Answer Correct Answer: B) 3s + 1c = 383s + 2c = 52. 13. The optimal solution to a linear programming problem always occurs: A) At the center of the feasible region. B) Along the objective function. C) At a corner (extreme) point of the feasible region. D) Outside the feasible region. Show Answer Correct Answer: C) At a corner (extreme) point of the feasible region. 14. What is the main objective of teaching linear programming? A) To avoid real-world problem-solving. B) To memorize formulas without understanding their application. C) To help students make informed decisions based on quantitative analysis and optimization. D) To confuse students with complex mathematical concepts. Show Answer Correct Answer: C) To help students make informed decisions based on quantitative analysis and optimization. 15. The FFA Club plans to grow Christmas trees as a project. There is a 1200 square foot plot of land available at their school to grow balsam fir and Douglas fir trees. There are only 576 pounds of fertilizer available.The profit for each balsam fir tree is $ 15 and $ 18 for each Douglas fir tree.Which of the following is an Objective Function that relates maximum profit? A) P = x + y. B) P = 576x + 1200y. C) P = 15x + 18y. D) P = 1200x + 576y. Show Answer Correct Answer: C) P = 15x + 18y. 16. A special case when an LP problem has no solution even though all constraints are being satisfied. A) Alternate solutions. B) Infeasibility. C) Unboundedness. D) Redundancy. Show Answer Correct Answer: B) Infeasibility. 17. Which of the following is the first step in formulating a linear programming problem for maximizing profit in a manufacturing business? A) Identify the decision variables such as the quantity of each product to produce. B) Construct the objective function to maximize total profit. C) Define the constraints such as resource limitations. D) Determine the non-negative restrictions for the production quantities. Show Answer Correct Answer: A) Identify the decision variables such as the quantity of each product to produce. 18. When applying the simplex method in optimizing a portfolio, what is the significance of the pivot element? A) It is used to eliminate assets from the portfolio optimization process. B) It determines the direction of movement towards the optimal portfolio mix. C) It is the element that is used to perform row operations to update the optimization tableau. D) It represents the maximum return the portfolio can achieve. Show Answer Correct Answer: C) It is the element that is used to perform row operations to update the optimization tableau. 19. If we have two variables, how many lines do we need to graph? A) 2. B) 3. C) 4. D) 1. Show Answer Correct Answer: D) 1. 20. How can linear programming be applied in finance? A) Analyzing historical events. B) Designing video games. C) Managing social media accounts. D) Optimizing investment portfolios. Show Answer Correct Answer: D) Optimizing investment portfolios. 21. They are the boundary points that are intersections of the straight-line boundary segments of the region A) Intercepts. B) Feasible solution space. C) Extreme points. D) Solution point. Show Answer Correct Answer: C) Extreme points. 22. '' A contractor can build at most 500 of an apartment, (x) and flat, (y) houses" . Convert the sentence given into inequality. A) $x+y\le500$. B) $x+y\ge500$. C) $x+y<500$. D) $x+y>500$. Show Answer Correct Answer: A) $x+y\le500$. 23. A student has some $ 1 bills and $ 5 bills in his wallet. He has a total of 15 bills that is worth $ 47. How many of each type of bill does he have? (Use substitution, elimination or guess and check) A) Five $ 1 bills, eight $ 5 bills. B) Seven $ 1 bills, eight $ 5 bills. C) Three $ 1 bills, nine $ 5 bills. D) None of the above. Show Answer Correct Answer: B) Seven $ 1 bills, eight $ 5 bills. 24. A transportation problem with three sources and four destinations will have seven decision variables. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 25. How many belts and wallets should the company make to maximize profits? A) 3 belts, 6 wallets. B) 6 belts, 3 wallets. C) 6 belts, 0 wallets. D) 0 belts, 8 wallets. Show Answer Correct Answer: A) 3 belts, 6 wallets. ← 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 7Class 12 Mathematics Chapter 12 Linear Programming Quiz 8Class 12 Mathematics Chapter 12 Linear Programming Quiz 9Class 12 Mathematics Chapter 12 Linear Programming Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books