This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the given inequality is greater than or greater than or equal, the region ..... the straight line ax+by+c=0 has to be shaded. A) Below. B) Above. C) All the above. D) None of the above. Show Answer Correct Answer: B) Above. 2. What is the main benefit of teaching linear programming using Microsoft Excel? A) Streamlining the optimization process. B) Increasing manual calculations. C) Making the process more complicated. D) Reducing efficiency. Show Answer Correct Answer: A) Streamlining the optimization process. 3. Maximize Z = 3x + 4y Subject to the constraints:x + y < 4, x > 0, y > 0 Find the maximum value of Z? A) 16. B) 12. C) 35. D) 42. Show Answer Correct Answer: B) 12. 4. Question 6:What is the graphical method used to identify the feasible region in linear programming? A) Algebraic method. B) Graphical method. C) Geometric method. D) Calculus method. Show Answer Correct Answer: B) Graphical method. 5. In case of an ..... constraints, the graph line is a solid straight line. A) More than. B) Less than. C) Greater than. D) Equal to. Show Answer Correct Answer: D) Equal to. 6. An infeasible problem is one in which the objective function can be increased to infinity.3. True or False? A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. It is the application of quantitative scientific methods, techniques and tools to arrive at optimum solutions to complex organizational activities. A) Linear programming. B) Modelling. C) Operations research. D) None of the above. Show Answer Correct Answer: C) Operations research. 8. What is the main focus of Unit-10 in the training module? A) Teaching Calculus. B) Teaching Linear Programming. C) Teaching Algebra. D) Teaching Geometry. Show Answer Correct Answer: B) Teaching Linear Programming. 9. What is the purpose of scenario analysis in LP problems? A) To Create Chaos. B) To Explore Different Scenarios. C) To Limit Solutions. D) To Avoid Decision Making. Show Answer Correct Answer: B) To Explore Different Scenarios. 10. Calculate the determinant of the matrix [[2, 5], [3, 7]]. A) 0. B) 10. C) 5. D) -1. Show Answer Correct Answer: D) -1. 11. How can teachers identify the feasible region in linear inequalities? A) By Guessing Randomly. B) By Memorizing Formulas. C) By Solving Quadratic Equations. D) By Graphing the Constraints. Show Answer Correct Answer: D) By Graphing the Constraints. 12. The solution which do not satisfy all the constraints of linear programming problem is called A) Infeasible solution. B) Degenerate solution. C) Optimal feasible solution. D) None of above. Show Answer Correct Answer: A) Infeasible solution. 13. Question 10:How does the feasible region help in finding the optimal solution in linear programming? A) By identifying the area where all constraints are satisfied, and the objective function can be optimized. B) By drawing a line through the feasible region. C) By randomly selecting a point within the feasible region. D) By ignoring all constraints and focusing only on the objective function. Show Answer Correct Answer: A) By identifying the area where all constraints are satisfied, and the objective function can be optimized. 14. Linear programming is used to: A) Maximize or minimize a linear objective function. B) Solve nonlinear equations. C) Compute matrix inverses. D) Solve differential equations. Show Answer Correct Answer: A) Maximize or minimize a linear objective function. 15. Shreya owns a car and a moped. She has at most 12 litres of petrol to be used between the car and the moped. The car's tank holds at most 10 litres and the moped's 3 litres. The mileage for the car is 20 km/l and for the moped is 100 km/l. What are the variables you need to define? A) X is petrol, y is mileage. B) X is car, y is moped. C) X is petrol, y is moped. D) X is car, y is mileage. Show Answer Correct Answer: B) X is car, y is moped. 16. The change in the optimal objective function value per unit increase in the right-hand side of a constraint is given by the A) Allowable increase. B) Shadow price. C) Objective function coefficient. D) Restrictive cost. Show Answer Correct Answer: B) Shadow price. 17. What is the feasible region in linear programming? A) The region where all constraints are satisfied simultaneously. B) The region with the most constraints. C) The region with the highest costs. D) The region with the lowest output. Show Answer Correct Answer: A) The region where all constraints are satisfied simultaneously. 18. What does the objective function represent in a linear programming problem? A) The objective function represents the goal of optimization in a linear programming problem. B) The objective function represents the variables in the problem. C) The objective function is used to calculate the feasible region. D) The objective function defines the constraints of the problem. Show Answer Correct Answer: A) The objective function represents the goal of optimization in a linear programming problem. 19. Dennis mowed his next door neighbor's lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $ 6.60. Which system of equations could be used to find the exact number of dimes and nickels? A) D + n = 6.60.10d + .05n = 80. B) D + n = 80d + n = 6.60. C) D + n = 80.10d + .05n = 6.60. D) D + n = 80.05d + .10n = 6.60. Show Answer Correct Answer: C) D + n = 80.10d + .05n = 6.60. 20. Solve the system by substitution. 5x + 4y=-14 y =-7x-15 A) (-2, -1). B) (1, -2). C) (-2, 1). D) (-1, -2). Show Answer Correct Answer: A) (-2, -1). 21. How do you graph a linear inequality? A) Draw a circle around the equation. B) Only plot the y-intercept. C) Connect the points with a dashed line. D) Graph the corresponding linear equation, then shade the appropriate side based on a test point. Show Answer Correct Answer: D) Graph the corresponding linear equation, then shade the appropriate side based on a test point. 22. What is the purpose of the graphic solution method in linear programming? A) To identify the entry variable. B) To improve the initial feasible solution. C) To convert inequalities into equations. D) To determine the optimal solution for problems with two decision variables. Show Answer Correct Answer: D) To determine the optimal solution for problems with two decision variables. 23. An inequality using > or < has a ..... line. A) Solid. B) Dashed. C) All the above. D) None of the above. Show Answer Correct Answer: B) Dashed. 24. What type of functions would be produced when examining profits and costs? A) Inequalities. B) Equations. C) Expressions. D) None of the above. Show Answer Correct Answer: A) Inequalities. 25. Identify the feasible region for the inequalities x >= 0, y >= 0, and 2x + 3y <= 9. A) The feasible region is a rectangle with vertices (0, 0), (0, 9), (9, 0), and (9, 9). B) The feasible region is the triangle with vertices (0, 0), (0, 3), and (4.5, 0). C) The feasible region is a line segment from (0, 0) to (9, 0). D) The feasible region is a circle with center (0, 0) and radius 3. Show Answer Correct Answer: B) The feasible region is the triangle with vertices (0, 0), (0, 3), and (4.5, 0). ← 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