This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 28 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 28 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If constraints have a less than equal to sign, ..... variables should be used to apply the Simplex Method. A) Slack. B) Artificial. C) Slack and artificial. D) All are correct. Show Answer Correct Answer: A) Slack. 2. Solve the linear programming problem:Minimize z = x + 2y subject to x + y $\geq$ 5, 2x + y $\geq$ 8, x $\geq$ 0, y $\geq$ 0. A) 10. B) 4. C) 8. D) 6. Show Answer Correct Answer: D) 6. 3. Which of the following constraints is not linear? A) 7A-6B <=45. B) 2X + 10Y >= 60. C) X + Y + 3Z = 35. D) None of the above. Show Answer Correct Answer: D) None of the above. 4. What is the difference between a maximization and a minimization problem? A) Maximization and minimization are the same and yield identical results. B) Maximization seeks to maximize an objective function; minimization seeks to minimize it. C) Maximization is only applicable in linear programming; minimization is not. D) Maximization focuses on minimizing costs; minimization focuses on maximizing profits. Show Answer Correct Answer: B) Maximization seeks to maximize an objective function; minimization seeks to minimize it. 5. What happens if we change a constraint in our problem? A) Changing a constraint has no effect on the feasible region. B) Constraints can only be added, not changed. C) Changing a constraint will always lead to a worse solution. D) Changing a constraint can change the feasible region and the optimal solution. Show Answer Correct Answer: D) Changing a constraint can change the feasible region and the optimal solution. 6. A sketch artist sells on demand portraits and name doodles at the state fair. The artist has a personal maximum of 40 creations per day. With his current paper supply, the artist is equipped to create up to 30 portraits and up to 20 name doodles. The artists profit is $ 10 on each portrait and $ 20 on each name doodle. Let x represent portraits and y represent name doodles. What is the artist's maximum profit? A) 500. B) 400. C) 300. D) 600. Show Answer Correct Answer: D) 600. 7. Corresponding to each dual there exists a primal A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 8. Objective quantity:P = 30x + 50yCorner that maximizes profit:(0, 6)What is the profit? A) 300. B) 280. C) 400. D) 240. Show Answer Correct Answer: A) 300. 9. What is a feasible solution in linear programming? A) A solution that maximizes profit. B) A solution that violates at least one constraint. C) A solution that does not violate any constraints. D) A solution that is optimal. Show Answer Correct Answer: C) A solution that does not violate any constraints. 10. Find the inverse of the matrix [[0, 1], [1, 0]]. A) [[0, 0], [0, 0]]. B) [[1, 0], [0, 1]]. C) [[0, 1], [1, 0]]. D) [[1, 1], [1, 1]]. Show Answer Correct Answer: C) [[0, 1], [1, 0]]. 11. The common region represented by the inequalities $x+2y\ge3$ $x+4y\ge4$ $3x+y\ge3$ $x\ge0$ $y\ge0$ A) A triangle. B) A quadrilateral. C) A pentagon. D) Unbounded. Show Answer Correct Answer: D) Unbounded. 12. In linear programming formulations (based from the discussion), what type of constraints used? A) >=. B) <=. C) =. D) >. Show Answer Correct Answer: A) >=. 13. What are the outcomes of completing Unit-10 on Teaching introduction to Linear Programming? A) Identify effective teaching strategies. B) All of the above. C) Analyze constraints and formulate objective functions. D) Make informed decisions based on quantitative analysis. Show Answer Correct Answer: B) All of the above. 14. Solve each of the following systems of linear inequalities a graphing approach. Verify using a graphing calculator. Which of following are the corner points? A) (2, 0), (4, 5), (6, 0). B) (2, 0), (3, 5), (0, 6). C) (0, 2), (3.5, 4.5), (6, 2). D) (0, 0), (3, 5), (6, 0). Show Answer Correct Answer: C) (0, 2), (3.5, 4.5), (6, 2). 15. When the constraint is compose of only one variable, the form of the line is A) A vertical line. B) A horizontal line. C) A diagonal line. D) None of the above. Show Answer Correct Answer: D) None of the above. 16. What role does the slope of a line play in linear programming? A) The slope only affects the y-intercept of the line. B) The slope determines the color of the line in a graph. C) The slope indicates the relationship between variables and helps define constraints in linear programming. D) The slope is irrelevant in linear programming. Show Answer Correct Answer: C) The slope indicates the relationship between variables and helps define constraints in linear programming. 17. How can linear programming be applied in supply chain operations? A) Analyzing market trends. B) Managing human resources. C) Optimizing crop yields. D) Determining the most cost-effective way to transport goods. Show Answer Correct Answer: D) Determining the most cost-effective way to transport goods. 18. Maximize P = 3x + y with the following constraints:$x+y\\le300$ $y\\ge100$ $x\\le150$ A) X = 0, y = 300. B) X = 150, y = 150. C) X = 100, y 150. D) X = 150, y = 100. E) X = 0, y = 100. Show Answer Correct Answer: B) X = 150, y = 150. 19. When it is not possible to find solution in LPP, it is the case of A) Unbounded solution. B) Infeasible solution. C) Unknown solution. D) Malaria?. Show Answer Correct Answer: B) Infeasible solution. 20. The optimal value of the objective function is A) Given by the intersection of inequalities with the axes only. B) Given by the corner points of the feasible region. C) Given by the intersection of inequalities with X-axis only. D) Given by the intersection of inequalities with Y-axis only. Show Answer Correct Answer: B) Given by the corner points of the feasible region. 21. Math symbols representing activity with limitations in an organization. A) OBJECTIVE FUNCTION. B) DECISION VARIABLES. C) CONSTRAINTS. D) PARAMETERS. Show Answer Correct Answer: B) DECISION VARIABLES. 22. Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg. What are the variables you need to define? A) X is gas, y is mileage. B) X is car, y is moped. C) X is gas, y is moped. D) X is car, y is mileage. Show Answer Correct Answer: B) X is car, y is moped. 23. Which of the following is true about the optimal investment strategy in portfolio management? A) It is always found at the center of the feasible region of investment options. B) It may occur at any point within the feasible region of investment options. C) It is always found at a corner point of the feasible region of investment options. D) It does not exist for all portfolio management scenarios. Show Answer Correct Answer: C) It is always found at a corner point of the feasible region of investment options. 24. In linear programming, inequalities are used to describe the limits of the problem. These inequalities are called ..... A) Constraints. B) Objects. C) Functions. D) Optimized. Show Answer Correct Answer: A) Constraints. 25. Question 4:Can the feasible region be empty in a linear programming problem? Why or why not? A) No, because linear programming always has a feasible region. B) No, because feasible regions are always non-empty. C) Yes, because linear programming does not have a feasible region. D) Yes. Show Answer Correct Answer: D) Yes. ← 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