=8$View an example4Use graphical methods to solve this linearprogramming problem.RF888OA. The maximum value is(Simplify your answer.)OB. There is no maximum.What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to completeyour choice.F4%5TGet more help.a>6YH&7nF7UMaximizesubject to:JC^^*8►llz = 4x + 4y3x-y≤ 152x+y 211x22y≤8F89KClear allF9)0F10Check answerP00:4)DTYF114) F12111?11 At what point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answerbox to complete your choice.OA. The maximum value of z occurs only at the point(s)(Type an ordered pair. Use a comma to separate answers as needed.)B. The maximum value of z occurs at the points(Type an ordered pair. Use a comma to separateC. There is no maximum value of z.and at all points on the line segment connecting them.answers as needed.)

Answered: Image /qna-images/answer/e1157088-2b06-4618-9128-65bc8b097ff6.jpg

Answered: Use graphical methods to solve this…

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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Use graphical methods to solve this linear programming problem. z = 7x + 4y 4x - y<14 3x + y211 Maximize subject to: x22 ys8 What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value is (Simplify your answer.) B. There is no maximum.
Use the simplex method to solve the linear programming problem. Maximize z=3x, +5x2 subject to: x, -4x2 5 55 4x, - 2x2 5 33 X, 20, x2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answers.) O A. The maximum is when x1 = and x2 = O B. There is no maximum.
Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
Solve the linear programming problem. Maximize P = 4x + 4y Subject to 2x+ys 20 x + 2y ≤ 16 x, y 20
Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 5 labor-hours. In a certain week, the company has 2800 board feet of wood available and 500 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize P = subject to the constraints board feet labor-hours x ≥ 0 y ≥ 0
Use the simplex method to solve the linear programming problem. Maximize z=2x, + 3x2 subject to: 5x, +X2 5 30 3x, + 2x, 5 50 X, + X, 540 X4, X2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x, = (Simplify your answers.) and x2 = O B. There is no maximum.
Use the simplex method to solve the linear programming problem. z = 8x, - 7x2 + 6x3 2x, - X2 + 8x3 s 44 4x, 5x2 + 6x3 s 76 2x, - 2x2 + 6x3 s 34 X, 20, x2 20, x3 20. Maximize subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x, = x2 = X3= S, = $2 =, and s3= %3! B. There is no maximum. Click to select and enter your answer(s).
Use the simplex method to solve the linear programming problem. Maximize 2= 28x1 +7x2 subject to 7x + 4xz s9 X1 + 3x s7 X1 20, x2 20 with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. The maximum is when x1 = and x2 = (Simplify your answers.) O B. There is no maximum.
Solve the linear programming problem. Maximize and minimize z=4x+5y Subject to 2x+y ≥ 10 x+2y ≥ 8 x, y ≥ 0 What is the minumum value of z? What are the coordinates of the corner point where the minimum value of z occurs? What is the maximum value of z? What are the coordinates of the corner point where the maximum value of z occurs?
Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.

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Use graphical methods to solve this linear programming problem. Maximize subject to: z = 4x + 4y 3x-y≤ 15 2x+y211 x22 y≤8