This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What does the feasible region represent in a linear programming problem? A) The feasible region represents all possible solutions that satisfy the constraints of the linear programming problem. B) The feasible region shows only the optimal solution. C) The feasible region represents all possible solutions without any constraints. D) The feasible region is the area outside the constraints. Show Answer Correct Answer: A) The feasible region represents all possible solutions that satisfy the constraints of the linear programming problem. 2. Formulate a linear inequality for the following situation:You have at most 50 dollars to spend on two items, where the first item costs 10 dollars and the second item costs 5 dollars. A) 10x + 5y >= 50. B) 10x + 5y <= 50. C) 10x + 5y = 50. D) 10x-5y <= 50. Show Answer Correct Answer: B) 10x + 5y <= 50. 3. Sarah makes $ 30 for each small purse (x) and $ 50 for each big purse (y). What is the objective function? A) Z = 30x + 50y. B) Z = 50x + 30y. C) All the above. D) None of the above. Show Answer Correct Answer: A) Z = 30x + 50y. 4. How can LP be used in optimizing supply chain operations? A) Managing investment portfolios. B) Determining optimal production levels. C) Optimizing transportation routes. D) Allocating resources in hospitals. Show Answer Correct Answer: B) Determining optimal production levels. 5. In the Flair Furniture example, what is the maximum number of chairs that can be produced? A) 100. B) 60. C) 40. D) 80. Show Answer Correct Answer: B) 60. 6. A method for solving a problem with several conditions or constraints that can be represented as linear equations or inequalities. A) Linear programming. B) Looking inside. C) Maximize. D) One-variable equation. Show Answer Correct Answer: A) Linear programming. 7. Interpret the objective function in the context of a profit maximization problem where x represents the quantity of product sold and y represents the price per unit. A) Objective function:Sales = x-y. B) Objective function:Profit = x / y. C) Objective function:Cost = x + y. D) The objective function is:Revenue = x * y. Show Answer Correct Answer: D) The objective function is:Revenue = x * y. 8. What is a feasible solution in the context of linear programming? A) A random guess for decision variables. B) A set of values that violates at least one constraint. C) A set of values for decision variables that satisfies all constraints. D) Any arbitrary selection of decision variables. Show Answer Correct Answer: C) A set of values for decision variables that satisfies all constraints. 9. A baker is using the function $P=2.5x+2y$ $x\ge0$ $y\ge0$ $3x+y\le9$ $2x+4y\le16$ A) 2 cakes and 3 cookies. B) 3 cakes and 2 cookies. C) 0 cakes and 4 cookies. D) 4 cakes and 0 cookies. Show Answer Correct Answer: A) 2 cakes and 3 cookies. 10. When using Solver, the parameter Changing Cells is typically associated with the objective function. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 11. What is the primary objective of linear programming in forest-based industries? A) Minimize timber yield. B) Maximize environmental impact. C) Optimize resource allocation. D) Increase inventory holding costs. Show Answer Correct Answer: C) Optimize resource allocation. 12. How does the graphical method of solving linear programming problems help in decision-making? A) By memorizing complex equations. B) By ignoring constraints. C) By guessing the optimal solution. D) By visually representing constraints and the objective function. Show Answer Correct Answer: D) By visually representing constraints and the objective function. 13. The point where two constraints intersect is called a: A) Gradient. B) Slope. C) Corner point. D) Maximum value. Show Answer Correct Answer: C) Corner point. 14. What is the primary advantage of LP in optimizing production processes? A) Maximizing losses. B) Maximizing costs. C) Maximizing confusion. D) Maximizing efficiency. Show Answer Correct Answer: D) Maximizing efficiency. 15. Provide an example of a real-world application of linear programming. A) Weather forecasting. B) Agricultural planning. C) Hospital scheduling. D) Supply chain management. Show Answer Correct Answer: D) Supply chain management. 16. What does LPP stand for? A) Linear Programming Problem. B) Local Projection Problem. C) Logistic Planning Procedure. D) Linear Probability Process. Show Answer Correct Answer: A) Linear Programming Problem. 17. Solve the optimization problem:Minimize 2x + 5y subject to the constraints x >= 0, y >= 0, and x + 2y <= 8. A) The minimum value of the objective function 2x + 5y is 15. B) The minimum value of the objective function 2x + 5y is 20. C) The constraints x >= 0, y >= 0, and x + 2y <= 8 are infeasible. D) The solution to the optimization problem is x = 3, y = 2. Show Answer Correct Answer: B) The minimum value of the objective function 2x + 5y is 20. 18. What is LP used for in inventory management in forest-based industries? A) Maximize inventory holding costs. B) Minimize raw material availability. C) Optimize inventory levels while minimizing costs. D) Increase stockouts of finished goods. Show Answer Correct Answer: C) Optimize inventory levels while minimizing costs. 19. What is the Simplex Method used for in linear programming? A) Creating graphs. B) Finding the profit from products. C) Solving linear programming problems with more than two variables. D) Allocating resources. Show Answer Correct Answer: C) Solving linear programming problems with more than two variables. 20. Identify if the function j(x) = sin(x) is onto when the codomain is [-1, 1]. Explain your answer. A) No, the function j(x) = sin(x) is onto only for the codomain [0, 1]. B) No, the function j(x) = sin(x) is not onto when the codomain is [-1, 1]. C) Yes, the function j(x) = sin(x) is onto when the codomain is [-1, 1]. D) Yes, the function j(x) = sin(x) is onto when the codomain is (-1, 1). Show Answer Correct Answer: C) Yes, the function j(x) = sin(x) is onto when the codomain is [-1, 1]. 21. What are the key components of a linear programming model? A) Variables, goal function, limitations, positivity constraints. B) Variables, objective function, boundaries, non-positivity constraints. C) Decision variables, objective function, constraints, non-negativity constraints. D) Variables, target function, restrictions, non-negativity constraints. Show Answer Correct Answer: C) Decision variables, objective function, constraints, non-negativity constraints. 22. Indicate whether the statement is true or false.1. Only binding constraints form the shape (boundaries) of the feasible region. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 23. How can LP be used in finance according to the text? A) To optimize transportation routes. B) To optimize investment portfolios. C) To optimize production planning. D) To optimize supply chain operations. Show Answer Correct Answer: B) To optimize investment portfolios. 24. Which software tool, known for large-scale optimization, is listed as a tool for solving NLP problems? A) Microsoft Word. B) GAMS (General Algebraic Modeling System). C) Microsoft Excel (without add-ins). D) Adobe Photoshop. Show Answer Correct Answer: B) GAMS (General Algebraic Modeling System). 25. The common region represented by $x-y\le3$ $2x+y\le5$ $x\le2$ $x\ge0$ A) First quadrant. B) First and second quadrants. C) Third quadrant. D) Second and third quadrants. Show Answer Correct Answer: D) Second and third quadrants. ← 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 10Class 12 Mathematics Chapter 12 Linear Programming Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books