This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 12 Linear Programming – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 12 Linear Programming Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve $-2\left(x+1\right)\le3\left(x+1\right)$ A) $x\ge5$. B) $x\ge-5$. C) $x\le1$. D) $x\ge-$. Show Answer Correct Answer: D) $x\ge-$. 2. What does the objective function represent in linear programming? A) The objective function represents the constraints in linear programming. B) The objective function represents the feasible region in linear programming. C) The objective function represents the quantity that needs to be maximized or minimized in linear programming. D) The objective function represents the decision variables in linear programming. Show Answer Correct Answer: C) The objective function represents the quantity that needs to be maximized or minimized in linear programming. 3. In LPP, the region bounded by all the constraints is called: A) Polygon. B) Feasible region. C) Objective zone. D) Constant area. Show Answer Correct Answer: B) Feasible region. 4. The term "optimal solution" refers to: A) Any solution in the feasible region. B) The maximum or minimum value of the objective function. C) The origin. D) None of these. Show Answer Correct Answer: B) The maximum or minimum value of the objective function. 5. In LPP, if no point satisfies all constraints, the problem is said to be: A) Unbounded. B) Feasible. C) Infeasible. D) Degenerate. Show Answer Correct Answer: C) Infeasible. 6. Graph the inequality x-y > 2 and shade the appropriate region. A) Graph the line y = x-2 as a solid line and shade the region above it. B) Graph the line y =-x + 2 as a dashed line and shade the region to the left of it. C) Graph the line y = x-2 as a dashed line and shade the region below it. D) Graph the line y = x + 2 as a solid line and shade the region above it. Show Answer Correct Answer: C) Graph the line y = x-2 as a dashed line and shade the region below it. 7. How can LP be used in environmental studies according to the text? A) To optimize investment portfolios. B) To optimize transportation routes. C) To optimize waste management strategies. D) To optimize production planning. Show Answer Correct Answer: C) To optimize waste management strategies. 8. The graphical method of solving LPP can be applied only when: A) Objective function is nonlinear. B) Variables are integers. C) There are two decision variables. D) There are three constraints. Show Answer Correct Answer: C) There are two decision variables. 9. How can an initial feasible solution be obtained in transportation problem? A) Northwest Corner Method. B) Least Cost Method. C) Vogel's Approximation Model. D) All of the above. Show Answer Correct Answer: D) All of the above. 10. You can work no more than 10 hours each week at your two jobs. Housecleaning pays $ 5 per hour and your sales job pays $ 8 per hour. You need to earn at least $ 56 each week to pay your bills. Write a system of inequalities to represent this scenario. A) $x+y\le10$ $5x+8y<56$. B) $x+y>10$ $5x+8y=56$. C) $x+y\le10$ $5x+8y\ge56$. D) $x+y=10$ $5x+8y=56$. Show Answer Correct Answer: C) $x+y\le10$ $5x+8y\ge56$. 11. Kursus X dan kursus Y diadakan dalam suatu program.I) Kapasiti program adalah 170 orangII) Jumlah minimum pengambilan program adalah 80 orangIII) Bilangan kursus Y adalah melebihi dua kalibilangan kursus X sekurang-kurangnya 20 orangTentukan ketaksamaan yang betul: A) $x+y\ge170$ $x+y\le80$ $y+x\ge20$. B) $x+y\le170$ $x+y\ge80$ $y-x\ge20$. C) $x+y\le170$ $x+y\le80$ $y\ge x+20$. D) $x+y\le170$ $x+y\ge80$ $x-y\ge20$. Show Answer Correct Answer: B) $x+y\le170$ $x+y\ge80$ $y-x\ge20$. 12. Define feasible region. A) A collection of all possible solutions. On the graph, it is where the shading overlaps. B) Limits put on possible outcomes. C) Money you make, after expenses. D) Vertices where the lines intersect. Show Answer Correct Answer: A) A collection of all possible solutions. On the graph, it is where the shading overlaps. 13. Why do manufacturing companies use graphical solutions in production planning? A) To manage inventory levels efficiently. B) To optimize production capacities. C) To visually analyze feasible production levels. D) All of the above. Show Answer Correct Answer: D) All of the above. 14. If you buy pens ($ 0.55 each) and a binder ($ 2.39) and only have $ 10 in your pocket, which inequality can help you figure out how many pens you can buy? A) 10 < 0.55x + 2.39. B) 10 $\geq$ 0.55x + 2.39. C) 10 < 0.55x-2.39. D) 10 $\geq$ 0.55x-2.39. Show Answer Correct Answer: B) 10 $\geq$ 0.55x + 2.39. 15. Jika anda menyalip 2 orang diposisi terakhir, kemudian 1 orang di belakang anda menyalip. Anda sekarang diposisi berapa?? A) Kedua dari terakhir. B) Terakhir. C) Ketiga dari terakhir. D) Semua salah. E) Tidak perlu dijawab hehehe . Show Answer Correct Answer: D) Semua salah. 16. Optimization Equation: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. 17. Which vertex is NOT one of the vertices of the feasible region? A) (0, 0). B) (0, 8). C) (3, 6). D) (6, 0). E) (4, 8). Show Answer Correct Answer: E) (4, 8). 18. How do you find the y-intercept of the line 2x + 3y = 12? A) Set x to 0 and solve for y. B) Set both x and y to 0. C) Set y to 0 and solve for x. D) Set x to 1 and solve for y. Show Answer Correct Answer: A) Set x to 0 and solve for y. 19. Define costs A) What you are selling. B) What you spend up front. C) Money you make after expenses. D) The most, biggest total. Show Answer Correct Answer: B) What you spend up front. 20. Graph the linear equation 3x + 2y = 6. A) Y = 0.5x + 2. B) Y =-3x + 4. C) Y =-1.5x + 3. D) Y = 2x + 1. Show Answer Correct Answer: C) Y =-1.5x + 3. 21. Which method is used to graphically solve an LP problem? A) Trial and error method. B) Random selection method. C) Iso-profit line method. D) Cost-benefit analysis. Show Answer Correct Answer: C) Iso-profit line method. 22. Ani membeli 2 buku dan 1 pensil seharga Rp14.000. Budi membeli 1 buku dan 2 pensil seharga Rp11.000. Jika harga buku = x dan harga pensil = y, maka nilai x adalah ..... A) 4000. B) 5000. C) 6000. D) 7000. Show Answer Correct Answer: C) 6000. 23. Other name of MODI method A) U-u method. B) U-v method. C) V-v method. D) None. Show Answer Correct Answer: B) U-v method. 24. These are restrictions placed on the firm by the operations of the organizations such as working hours and resources. A) CONSTRAINTS. B) DECISION VARIABLE. C) PARAMETERS. D) OBJECTIVE FUNCTION. Show Answer Correct Answer: A) CONSTRAINTS. 25. What is the objective of Session 10.1? A) Teaching Algebraic Equations. B) Teaching Probability. C) Teaching Graphical Solutions to Linear Inequalities. D) Teaching Trigonometry. Show Answer Correct Answer: C) Teaching Graphical Solutions to Linear Inequalities. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books