The graph shows a region of feasible solutions. Use this region to find maximumand minimum values of the objective function.10-z= 0.25x + 0.55ySelect the correct choice below and, if necessary, fill in the answer box to completeyour choice.10The coordinates of the corner points are (0,0), (0,5), (3,9), (7,6), and (9,0).O A. The maximum value isO B. There is no maximum value....

Answered: Image /qna-images/answer/78704424-555f-4e5f-82ac-3ea55b22cf10.jpg

Answered: The graph shows a region of feasible…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 10CT: Sketch the region corresponding to the system of constraints. Then find the minimum and maximum...

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Similar questions

Feasible region all part of this problem refer to the following Feasible region and objective function. {x0xyx+2y12x+y10}P=x+4y (a) Graph the Feasible region. (b) on your graph from part(a) , sketch the graph of the linear equation obtained by (c setting P equal to 40,36,32 and 28 . (c) if you continue to decrease the value of P, at which vertex of the Feasible region will these lines first touch the Feasible region . (d) verify that the maximum value of P on the Feasible region occurs at the vertices you too chose in part(c).
Feasible RegionAll parts of this problem refer to the following feasible region and objective function. {x0xyx+2y12x+y10 P=x+4y aGraph the feasible region. bOn your graph from part a, sketch the graphs of the linear equations obtained by setting P equal to 40, 36, 32, and 28. cIf you continue to decrease the value of P, at which vertex of the feasible region will these lines first touch the feasible region? dVerify that the maximum value of P on the feasible region occurs at the vertex you chose in part c.
Sketch the region corresponding to the system of constraints. Then find the minimum and maximum values of the objective function z=3x+2y and the points where they occur, subject to the constraints. x+4y202x+y12x0y0
Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.
A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000

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