This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. It is the set of quantities that the decision makers would like to determine in order to solve the problem. A) Variables. B) Parameter. C) Constraints. D) Decision variables. Show Answer Correct Answer: D) Decision variables. 2. What is an objective function? A) A mathematical expression that defines the goal of a linear programming problem, typically to maximize or minimize a quantity. B) A type of function that only has one variable. C) A function that describes the relationship between two variables without any constraints. D) A function used to calculate the area under a curve. Show Answer Correct Answer: A) A mathematical expression that defines the goal of a linear programming problem, typically to maximize or minimize a quantity. 3. A linear programming model has the following two constraints:X1 $\geq$ 3 and X1 $\geq$ 4. This model has a redundant constraint. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 4. What does the feasible region represent in a linear programming graph? A) The feasible region shows only the optimal solution. B) The feasible region indicates the constraints that are not met. C) The feasible region represents all possible solutions that satisfy the constraints. D) The feasible region represents all possible solutions without any constraints. Show Answer Correct Answer: C) The feasible region represents all possible solutions that satisfy the constraints. 5. Sarah makes $ 30 for each small purse (x) and $ 50 for each big purse (y). Which expression can be used to determine the cost (this is called the objective quantity)? A) 30x + 50y. B) 50x + 30y. C) All the above. D) None of the above. Show Answer Correct Answer: A) 30x + 50y. 6. What is the role of the origin in the graphical method of linear programming? A) The origin is irrelevant in the graphical method of linear programming. B) The origin serves as a reference point for determining the feasible region and optimal solution. C) The origin represents the maximum value in linear programming. D) The origin is used to plot the constraints in linear programming. Show Answer Correct Answer: B) The origin serves as a reference point for determining the feasible region and optimal solution. 7. Formulate a linear inequality for the following situation:You have a budget of 1000 dollars and want to buy items that cost 50 dollars each. A) 50x < 500. B) 50x > 1000. C) 50x = 1000. D) 50x <= 1000. Show Answer Correct Answer: D) 50x <= 1000. 8. Graph the inequality 3x + 4y < 24 on a coordinate plane. A) Graph a solid line through points (8, 0) and (0, 6) and shade above the line. B) Graph the dashed line through points (6, 0) and (0, 8) and shade above the line. C) Graph a solid line through points (0, 6) and (0, 0) and shade below the line. D) Graph the dashed line through points (8, 0) and (0, 6) and shade below the line. Show Answer Correct Answer: D) Graph the dashed line through points (8, 0) and (0, 6) and shade below the line. 9. If Zj-Cj<0 then the dual simplex method ..... A) Pseudo optimal. B) Fails. C) Feasible. D) Basic feasible. Show Answer Correct Answer: B) Fails. 10. What does it mean if a point is on the boundary of the feasible region? A) A point on the boundary does not satisfy any constraints. B) A point on the boundary satisfies at least one of the constraints. C) A point on the boundary is always an optimal solution. D) A point on the boundary is not considered feasible. Show Answer Correct Answer: B) A point on the boundary satisfies at least one of the constraints. 11. In the context of Linear Programming, what does the term 'feasible region' refer to? A) The area where costs are minimized. B) The area where resources are abundant. C) The area where profits are maximized. D) The area where all constraints are satisfied. Show Answer Correct Answer: D) The area where all constraints are satisfied. 12. The constraint 2x1-x2 = 0 passes through the point (200, 100).6. True or False? A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. How do we show a straight line on a graph? A) Draw a circle around the y-intercept. B) Plot the y-intercept and use the slope to draw the line. C) Connect random points on the graph. D) Use only the x-axis to represent the line. Show Answer Correct Answer: B) Plot the y-intercept and use the slope to draw the line. 14. What are the components of a linear programming model? A) Objective function, Decision variables, Assumptions, Parameters. B) Objective function, Decision variables, Constraints, Parameters. C) Objective function, Constraints, Parameters, Right-hand side values. D) Objective function, Decision variables, Constraints, Assumptions. Show Answer Correct Answer: B) Objective function, Decision variables, Constraints, Parameters. 15. How can you verify if a solution is optimal in a graphical method? A) Check if the solution is on the boundary of the feasible region and is the best value. B) Ensure the solution is the first point found in the graph. C) Verify if the solution is in the interior of the feasible region. D) Check if the solution is a random point in the graph. Show Answer Correct Answer: A) Check if the solution is on the boundary of the feasible region and is the best value. 16. Graph the inequality x + 2y > 10 and identify the feasible region. A) The feasible region is the area below the line x + 2y = 10, excluding the line. B) The feasible region is the area above the line x + 2y = 10, including the line. C) The feasible region is the area to the left of the line x + 2y = 10, excluding the line. D) The feasible region is the area to the right of the line x + 2y = 10, including the line. Show Answer Correct Answer: B) The feasible region is the area above the line x + 2y = 10, including the line. 17. In a LPP, the linear inequalities or restrictions on the variables are called ..... A) Linear constraints. B) Quadratic constraints. C) Cubic constraints. D) None of these. Show Answer Correct Answer: A) Linear constraints. 18. The graph of y > 23x-48uses a ..... line A) Dashed. B) Solid. C) Horizontal. D) Vertical. Show Answer Correct Answer: A) Dashed. 19. What is the inequality for CUTTING TIME? A) 2x + 3y < 24. B) 2x + 3y < 36. C) 6x + 3y < 24. D) 6x + 3y < 36. Show Answer Correct Answer: A) 2x + 3y < 24. 20. To find the optimal solution to a linear programming problem using the graphical method, find the feasible point that13. A. is the farthest away from the origin.B. is at the highest location.C. is closest to the origin.D. provides the best possible value of the objective function. A) A. B) B. C) C. D) D. Show Answer Correct Answer: D) D. 21. How does linear programming contribute to cost reduction in forest-based industries? A) By increasing harvesting costs. B) By optimizing resource usage. C) By maximizing inventory holding costs. D) By minimizing production output. Show Answer Correct Answer: B) By optimizing resource usage. 22. Y is less x( y kurang daripada x) A) $y\le x$. B) $y C) $y>x$. D) $y\ge x$. Show Answer Correct Answer: B) $y 23. The common region represented by $x\le4$ $x-y\ge0$ $3x+y\ge3$ A) First quadrant. B) First and second quadrants. C) Third quadrant. D) First and fourth quadrants. Show Answer Correct Answer: D) First and fourth quadrants. 24. What does the objective function in linear programming represent? A) The number of employees needed. B) The amount of resources available. C) The total cost of production. D) The goal of the firm. Show Answer Correct Answer: D) The goal of the firm. 25. What is the main benefit of using GeoGebra in teaching graphical solutions? A) To increase student workload. B) To complicate the learning process. C) To simplify complex concepts. D) To discourage student participation. Show Answer Correct Answer: C) To simplify complex concepts. Next →Related QuizzesClass 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 10Class 12 Mathematics Chapter 12 Linear Programming Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books