This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 12 (16 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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. 2. How can linear programming be applied in finance? A) Managing social media accounts. B) Analyzing historical events. C) Optimizing investment portfolios. D) Designing video games. Show Answer Correct Answer: C) Optimizing investment portfolios. 3. They are the boundary points that are intersections of the straight-line boundary segments of the region A) Solution point. B) Extreme points. C) Feasible solution space. D) Intercepts. Show Answer Correct Answer: B) Extreme points. 4. 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. 5. 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. 6. 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. 7. Does the system have one, none or infinite solutions?8x + 4y = 12y =-2x + 3 A) (0, 3). B) (3, 0). C) No solution(parallel lines). D) Infinitely many solutions. Show Answer Correct Answer: D) Infinitely many solutions. 8. The graph ofy $\geq$ x-3is shaded??? A) Over / Above. B) Under / Lower. C) All the above. D) None of the above. Show Answer Correct Answer: A) Over / Above. 9. How can LP be used in healthcare according to the text? A) To optimize investment portfolios. B) To optimize transportation routes. C) To optimize production levels. D) To optimize staff scheduling. Show Answer Correct Answer: D) To optimize staff scheduling. 10. What does 'additivity' mean in linear programming? A) All terms must be added together. B) Only one term can be used. C) No terms can be added. D) Terms must be multiplied. Show Answer Correct Answer: A) All terms must be added together. 11. Determine if the system of equations x + y = 2 and x-y = 4 is consistent. A) The system has infinitely many solutions. B) Yes, the system is consistent. C) The system has no solutions. D) No, the system is inconsistent. Show Answer Correct Answer: B) Yes, the system is consistent. 12. What is a basic feasible solution in the context of optimizing a portfolio in finance? A) Any solution that satisfies all the investment constraints. B) The best solution that maximizes returns or minimizes risks. C) A solution that corresponds to an optimal mix of assets in the portfolio. D) A solution that does not violate any regulatory or risk constraints. Show Answer Correct Answer: C) A solution that corresponds to an optimal mix of assets in the portfolio. 13. These might be the results of this type of analytics where recommendations and suggestions based on data sets and algorithmic models. A) DESCRIPTIVE. B) DATA WAREHOUSE. C) PREDICTIVE. D) PRESCRIPTIVE. Show Answer Correct Answer: D) PRESCRIPTIVE. 14. What is a corner point solution? A) A solution that maximizes the objective function without any constraints. B) A solution that is not feasible for the given constraints. C) A solution to a linear programming problem that occurs at one of the vertices of the feasible region. D) A solution that is found in the middle of the feasible region. Show Answer Correct Answer: C) A solution to a linear programming problem that occurs at one of the vertices of the feasible region. 15. In Phase 1 a cost ..... is assigned to the artificial variable. A) 1. B) 0. C) -1. D) M. Show Answer Correct Answer: C) -1. 16. Where does the optimal solution of LPP lie? A) Anywhere inside the feasible region. B) At the origin only. C) Outside the feasible region. D) At the vertices (corner points) of the feasible region. Show Answer Correct Answer: D) At the vertices (corner points) of the feasible region. ← PreviousRelated QuizzesScience QuizzesClass 12 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books