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Minimize: subject to: z = x-y 4x - 3y ≤0 x + y ≤ 10 x,y ≥ 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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29-30. The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? 1. The maximum value for the objective function does not exist in an unbounded feasible region. II. If the objective function is Min Z=x+y, then it's maximum is 25 at (25,0). III. If the objective function is Max Z=-x+2y, then it's minimum is O at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. (0,24) 50 -10 -20 O A. I B. II C. I and II D. III and IV 20 10 0 -10 (12) 10 (15.5) (25.0) 40
Find the general solution of the differential equation 8d2ydx2-6dydx+y=2x+40sin x
Options C and D are also a part of this question but I couldn't fit it all in one picture so it all remains as 1 question and not multiple questions c) Find all intersection points of lines in the graph, and state whether the points are in the feasible region.d) Using slack variables, convert the system of inequalities into a system of equations.
Question 12 Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible x+y ≤10 -+y> 4 region. Click to set the corner points. 2 1 +10 9- 8 7- 6 5 4 3 2 } 12 3 4 5 6 Clear All Draw: Polygon Submit Question I 7 8 9 10
29-30. The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? 1. The maximum value for the objective function does not exist in an unbounded feasible region. II. If the objective function is Min Z=x+y, then it's maximum is 25 at (25,0). III. If the objective function is Max Z=-x+2y, then it's minimum is O at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. (0.24) 50 -20 -10 A. I B. II C. I and II D. III and IV 10 . -10 (12) 10 (15,5) (25.0) 40
Given the LP problem:1. How many corner points are there?2. Which of the following points is not a corner point in the feasible region for this LP problem?a. (0,0) b. (0,10) c. (4,6) d. none of the above3. Which of the following gives an optimal value of the objective function for the LP model in this problem?a. (0,0) b. (0,10) c. (4,6) d. none of the above
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5. Consider the following linear programming problem: Maximize: P=12x₁ +10x₂ subject to: 5x₁ +3x₂ ≤ 15 x₁ + x₂ ≤4 x ≥ 0, x₂ ≥0 a) Is the linear programming problem in standard form? YES b) Find the feasible region by graphing. Q Search PN-
Hi, I would need some help for certain parts regarding a linear optimization problem. (a) Prove that the set of feasible solutions of the problem is bounded. (b) Find all basic feasible solutions by considering all the combinations of linearly independent constraints. (c) Which basic feasible solutions found in (c) are optimal solutions?
Q1\A) Put True or False for the following questions: 1. A solution of linear programing problem is called feasible if it satisfies all of the constraints. 2. Every linear program has a function called objective function. 3. Level line is the set of all points where the objective function takes no specific value. 4. The dual problem of primal problem is also primal. 5. We compute a new tableau if we get the optimal solution from the simplex method.
+ 7. Consider the feasible region shown below. Assume the origin (A) is feasible and the constraints are all constraints and the variables are all nonnegative. Suppose you wish to maximize 1 + over this feasible region and you are currently at point G. Which variable should enter the basis in the first iteration of the simplex algorithm if we wish to maximize the objective function improvement after the first iteration? O only 2₂ only Ⓒ* only A 1.₂. or s 1 H B G A: (0,0,0) B: (1,0,0) C (0, 1, 0) D: (0, 0, 1)
A truck must deliver furniture to stores located in five different cities A, B, C, D, and E. The truck must start and end its root at a period the time (in hours) for travel between the cities is given in the figure below. Find an optimal tour for those traveling salesman problem and give its cost in hours. (Hint: the edge AD is part of an optimal tour.) E Tour: +8 D A C Cost in hours: B