This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A constraint in linear programming must be expressed as: A) A non-linear equation. B) An objective function. C) A linear equation or inequality. D) A random variable. Show Answer Correct Answer: C) A linear equation or inequality. 2. If any variable of the primal problem is unrestricted in sign, then the corresponding constraint in the dual problem will be ..... type. A) $\le$. B) $\ge$. C) $=$. D) $<$. Show Answer Correct Answer: C) $=$. 3. Solve the optimization problem:Maximize 3x + 4y subject to the constraints x >= 0, y >= 0, and 2x + y <= 10. A) 15. B) 14. C) 16. D) 12. Show Answer Correct Answer: A) 15. 4. What is the graphical representation of the inequality 3x-2y > 6? A) The graphical representation is a shaded region above the line 3x-2y = 6, excluding the line. B) The graphical representation is a shaded region below the line 3x-2y = 6, including the line. C) The graphical representation is a single point at (2, 0). D) The graphical representation is a dashed line representing the equation 3x-2y = 6. Show Answer Correct Answer: A) The graphical representation is a shaded region above the line 3x-2y = 6, excluding the line. 5. Solve for x |-2n| + 10 =-50 A) \{30, -30\}. B) \{20, -20\}. C) \{-5, 5\}. D) No Solution. Show Answer Correct Answer: D) No Solution. 6. The feasible region for a system of inequalities is the set of all points that: A) Satisfy only one inequality. B) Satisfy all inequalities. C) Do not satisfy any inequality. D) Are outside the boundary lines. Show Answer Correct Answer: B) Satisfy all inequalities. 7. Graph the linear equation 4x-2y = 8. A) Y = 3x-2. B) Y = 4x + 2. C) Y =-2x + 8. D) Y = 2x-4. Show Answer Correct Answer: D) Y = 2x-4. 8. The quantities that are to be determined using decision variable are called A) Objective Function. B) Decision Variables. C) Constraints. D) Monkey. Show Answer Correct Answer: B) Decision Variables. 9. How do you graph the inequality y > 2x-1? A) Graph the line y = 2x-1 as a dashed line and shade above it. B) Graph the line y = 2x-1 and do not shade any area. C) Graph the line y = 2x-1 as a solid line and shade below it. D) Graph the line y = 2x-1 as a dashed line and shade below it. Show Answer Correct Answer: A) Graph the line y = 2x-1 as a dashed line and shade above it. 10. Dani is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $ 1.50 each and sodas cost $ 0.50 each. At the end of the game, Dani made a total of $ 78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation? A) 1.5x+0.5y=78.5x+y=87. B) 1.5x+0.5y=78.51.5x+0.5y=87. C) X+y=78.51.5x+0.5y=87. D) X+y=78.5x+y=87. Show Answer Correct Answer: A) 1.5x+0.5y=78.5x+y=87. 11. In dealing with business models, managers need to consider only quantitative data while making decisions in practice. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 12. Sebuah perusahaan ojek online menetapkan biaya awal Rp5.000 dan Rp2.000 setiap kilometer. Jika dinyatakan sebagai fungsi linear y=mx+c, maka m dan c berturut-turut adalah ..... A) 2000 dan 5000. B) 5000 dan 2000. C) 2 dan 5. D) 5 dan 2. Show Answer Correct Answer: A) 2000 dan 5000. 13. A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $ 370, and the cost of joining for 6 months is $ 530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee. A) R-4m = 370r-6m = 530. B) R + 4m = 370r + 6m = 530. C) M + 4r = 370m + 6r = 530. D) M-4r = 370m-6r = 530. Show Answer Correct Answer: B) R + 4m = 370r + 6m = 530. 14. Interpret the optimal solution for the problem:Minimize z = x + 2y with the constraints:3x + 4y $\geq$ 12, x $\geq$ 0, y $\geq$ 0. A) The optimal solution is at (1, 5) with a minimum value of z = 11. B) The optimal solution is at (0, 6) with a minimum value of z = 12. C) The optimal solution is at (4, 0) with a minimum value of z = 4. D) The optimal solution is at (2, 3) with a minimum value of z = 8. Show Answer Correct Answer: C) The optimal solution is at (4, 0) with a minimum value of z = 4. 15. How can the graphical method of solving LP problems be useful in different sectors? A) It is limited to academic exercises. B) It only works in theoretical scenarios. C) It can optimize supply chain operations, production levels, and transportation routes. D) It has no practical applications outside of mathematics. Show Answer Correct Answer: C) It can optimize supply chain operations, production levels, and transportation routes. 16. LP theory states that the optimal solution to any problem will lie at A) The origin. B) A corner point of the feasible region. C) The lowest point in the feasible region. D) None of the above. Show Answer Correct Answer: B) A corner point of the feasible region. 17. What is an optimum value? A) A value that is always positive. B) A value which is either a maximum or a minimum. C) A value that cannot be determined. D) A value that is always negative. Show Answer Correct Answer: B) A value which is either a maximum or a minimum. 18. Rania makes $ 30 for each small purse (x) and $ 50 for each big purse (y). What is 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. 19. If the vertices of the feasible region are (0, 0) (2, 5) (6, 2) and (4, 4) which coordinate maximizes an objective function of P=2x+3y A) (0, 0). B) (2, 5). C) (6, 2). D) (4, 4). Show Answer Correct Answer: D) (4, 4). 20. Define Profit A) Money you make, after expenses. B) What you spend up front to create the product. C) Vertices where the lines intersect. D) The most, biggest profit possible. Show Answer Correct Answer: A) Money you make, after expenses. 21. How do you interpret the solution of a linear programming problem graphically? A) The solution can be found anywhere within the feasible region. B) The optimal solution is always at the center of the feasible region. C) The optimal solution is located at a vertex of the feasible region on the graph. D) The optimal solution is determined by the highest point on the graph. Show Answer Correct Answer: C) The optimal solution is located at a vertex of the feasible region on the graph. 22. What is the purpose of the Solver tool in Microsoft Excel for LP problems? A) To create more problems. B) To set up and solve LP problems. C) To confuse students. D) To avoid calculations. Show Answer Correct Answer: B) To set up and solve LP problems. 23. What tool can be used in Microsoft Excel to solve linear programming problems? A) Solver. B) Filter. C) Sort. D) Formula. Show Answer Correct Answer: A) Solver. 24. What do we want to achieve in a linear programming problem? A) To solve non-linear equations. B) To create a graphical representation of data. C) To optimize a linear objective function subject to constraints. D) To find the maximum number of variables. Show Answer Correct Answer: C) To optimize a linear objective function subject to constraints. 25. Which method is commonly used to solve a two-variable linear programming problem graphically? A) Simplex Method. B) Big-M Method. C) Dual Simplex Method. D) Graphical Method. Show Answer Correct Answer: D) Graphical Method. ← 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 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