Explain why you cannot conclude that optimal solutions exist without graphing the objective functionfor various feasible solutions. Graph the feasible region and use graphs of the objective function forvarious values of z to determine the maximum value and the minimum value, if they existMinimize and maximizeSubject tox-2y 202x-y 26x.y 20Why can you not conclude that optimal solutions exist?OA. Neither a maximum value nor a minimum value existB. The feasible region is unbounded and one of the coeficients of the objectivefunction is negativeOC. The feasible region is empty and one of the coefficients of the objective function isnegativeOD. The feasible region is bounded and one of the coefficients of the objectivefunction is negative

Answered: Image /qna-images/answer/81cd78f6-6f2b-40bc-9ddc-e6c627bb1780.jpg

Answered: Explain why you cannot conclude that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Solve the linear programming programing by graphing and then determining which vertex minimizes the objective function G = 4x + 3y. ´5x + 15y ≥ 15 5x + 5y > 35 x>0 ≥0 x = er an integer or decimal number [more..] y = 0 x What is the minimum value? G =
The graph shows a region of feasible solutions. Use this region to find maximum and minimum values of the objective function. z = 5x + 8y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. The maximum value does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is B. The minimum value does not exist. 10+ Q N The coordinates of the corner points are (2,2), (3,8), (7,7), and (8,3).
The graph shows a region of feasible solutions. Use this region to find maximum and minimum values of the objective function. z=0.25x+0.60y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. There is no maximum value. Ay 10- 04- 0 Q The coordinates of the corner points are (0,0), (0,7), (3,10), (7,8), and (9,0).
i. Sketch the edges of the feasible region. (You may draw the graph manually or with the aid of technology.) ii. Shade the feasible region. iii. Sketch the objective function contour curves. (To draw a family of contour curves, assign several values to z.) iv. With the aid of the objective function curves, mark the point where the optimal solution will most likely occur.
Multiple choice: You were given the following mathematical statements: Maximize: 200x +150y; Subject to: x >= 2; 2y <= 6; 3x + 4y <= 10; and non-negativity condition, x >= 0 and y >= 0. Should the solution value for the first, second and third constraint amount to one (1), seven (7), and eleven (11), respectively, does it mean a valid optimal solution can be found? • No• Answer is not given• Cannot be determined• Yes
The graph shows a region of feasible solutions. Use this region to find maximum and minimum values of the objective function. z=2x+4y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. The maximum value does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is B. The minimum value does not exist. 10- ON The coordinates of the corner points are (1,2), (3,9), (7,8), and (9,3).
A farmer has 500 acres of available land and $100,000 to spend. He wants to plant the combination of crops which maximizes his profit. Complete parts (a) through (c). Profits and Constraints for Crops Potatoes Corn Number of Acres Cost (per acre) Profit (per acre) X₁ $320 $120 with Minimize subject to: y₁ +320y₂ 2 120. Y₁+1282 2 40 w = 500 y₁ + 100000 ₂ Y₁+224y > 60 Y₁ 20, y₂ 20 $128 $40 The farmer's estimated profit is $ (Simplity your answer.) Cabbage X3 $224 $60 S ≤ = Total 500 $100,000 Z (b) The solution to the dual problem can be interpreted as shadow profits. Use shadow profits to estimate the farmer's profit if land is cut to 400 acres but capital increases to $110,000.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS