This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is a vertex in the context of a solution region? A) A line that divides the plane. B) A point outside the feasible region. C) The maximum value of a function. D) A point where two lines intersect. Show Answer Correct Answer: D) A point where two lines intersect. 2. What is the main objective of Activity 3 in Session 10.1? A) Teaching LP using GeoGebra. B) Solving LP problems using Excel. C) Discussing challenges in LP problems. D) Optimizing LP problems. Show Answer Correct Answer: C) Discussing challenges in LP problems. 3. Number of basic variables always equals to the number of ..... A) Constraints. B) Non-basic variables and constraints. C) Variable minus constraints. D) Non-bsic variables. Show Answer Correct Answer: A) Constraints. 4. In the context of optimizing a portfolio in finance, what is the significance of corner points? A) They represent the only points where the portfolio's return can be maximized or minimized. B) They are used to construct the efficient frontier. C) They indicate investment options that are not binding. D) They represent possible portfolio allocations that are not optimal. Show Answer Correct Answer: A) They represent the only points where the portfolio's return can be maximized or minimized. 5. Before starting phase 2, we remove all the artificial variable from the table which were non-basic at the end of phase 1. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. What tool can be used to solve LP problems using Microsoft Excel? A) None of the above. B) GeoGebra. C) Solver Tool. D) What-If Analysis. Show Answer Correct Answer: B) GeoGebra. 7. What is the purpose of scenario analysis in LP models? A) None of the above. B) To interpret results generated by Solver. C) To conduct sensitivity analysis. D) To explore different scenarios and evaluate their impact. Show Answer Correct Answer: A) None of the above. 8. What is the objective in LPP? A) To find any solution. B) To maximise or minimise a linear function. C) To solve nonlinear equations. D) To find the average value. Show Answer Correct Answer: B) To maximise or minimise a linear function. 9. Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation. A) X + y = 33y = 2x-3. B) X + y = 33x = 2y-3. C) X + y = 33x = 3-2y. D) X + y = 3x = 33-2y. Show Answer Correct Answer: B) X + y = 33x = 2y-3. 10. In a linear programming problem, what does the term 'bounded' refer to? A) The feasible region is closed and contains all optimal solutions. B) The feasible region is open and does not contain optimal solutions. C) The objective function has no maximum or minimum. D) The constraints are not satisfied. Show Answer Correct Answer: A) The feasible region is closed and contains all optimal solutions. 11. Diketahui sistem persamaan $x+y=10$ $x-y=4$ A) 6. B) 7. C) 8. D) 9. Show Answer Correct Answer: B) 7. 12. 4x-2y = 7x + 2y = 3If I had to solve using substitution, which variable should I solve for? A) Y in the first equation. B) Y in the second equation. C) X in the second equation. D) X in the first equation. Show Answer Correct Answer: C) X in the second equation. 13. Interpret the optimal solution of a linear programming problem in terms of the objective function. A) The optimal solution maximizes or minimizes the objective function value based on the decision variables. B) The optimal solution only affects the constraints of the problem. C) The optimal solution is always the first feasible solution found. D) The optimal solution is irrelevant to the objective function. Show Answer Correct Answer: A) The optimal solution maximizes or minimizes the objective function value based on the decision variables. 14. A) A ..... solution satisfies "all" constraints. A) Feasible. B) Infeasible. C) Good. D) Bad. Show Answer Correct Answer: A) Feasible. 15. What method can be used to solve linear programming problems graphically? A) Algebraic method. B) Simplex method. C) Iterative method. D) Graphical method. Show Answer Correct Answer: D) Graphical method. 16. Discuss the role of the objective function in linear programming. A) The objective function is determined randomly in linear programming. B) The objective function has no impact on linear programming. C) The objective function sets the direction for the optimization process in linear programming. D) The objective function is only used for decoration in linear programming. Show Answer Correct Answer: C) The objective function sets the direction for the optimization process in linear programming. 17. What is the characteristic of the variables in a linear programming problem? A) Zero. B) Non-negative. C) Negative. D) Positive. Show Answer Correct Answer: B) Non-negative. 18. What is the slope intercept equation? A) Y=mx+b. B) Y=mmmbbbbxx. C) Y=Mx=b+mb. D) Mb+x=y+slope. Show Answer Correct Answer: A) Y=mx+b. 19. What is a linear programming problem concerned with? A) Balancing chemical equations. B) Graphing exponential functions. C) Solving quadratic equations. D) Finding the optimal value of a linear function. Show Answer Correct Answer: D) Finding the optimal value of a linear function. 20. What is a half-plane in the context of the xy-plane? A) The area above a line only. B) A point of intersection of lines. C) A region on both sides of a line. D) The region on a side of a line. Show Answer Correct Answer: D) The region on a side of a line. 21. In the Galaxy Industries example, what is the profit per dozen for the Zapper? A) $ 8. B) $ 6. C) $ 10. D) $ 5. Show Answer Correct Answer: D) $ 5. 22. If a system of equations has infinitely many solutions, the equations are: A) Parallel. B) Intersecting at one point. C) Coinciding. D) Perpendicular. Show Answer Correct Answer: C) Coinciding. 23. What do the variables represent? A) X = belts, y = wallets. B) X = cutting time, y = sewing time. C) X = profit, y = vertices. D) X = leather, y = profit. Show Answer Correct Answer: A) X = belts, y = wallets. 24. If all constraints of an LPP are satisfied, the solution is called: A) Basic. B) Intermediate. C) Feasible. D) Impossible. Show Answer Correct Answer: C) Feasible. 25. What is the objective of linear programming? A) To maximize or minimize a linear function subject to linear constraints. B) To solve non-linear equations. C) To find the absolute maximum or minimum of a function. D) To maximize or minimize a quadratic function. Show Answer Correct Answer: A) To maximize or minimize a linear function subject to linear constraints. ← 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