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7–12For each of the linear programming problems in Exercises 1–6,
Maximize
(a) Set up the initial simplex tableau.
(b) Determine the particular solution corresponding to the initial tableau.
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Chapter 4 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
- QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x + 3y ≤ 16 y≥ 1 x ≥ 0arrow_forwardSolve the following linear programming graphically [8]Minimize and maximize: z = 3x + 9ySubject to the constraints:x + 3y ≥ 6x + y ≤ 10x ≤ yx ≥ 0; y ≥ 0arrow_forwardQ6// If we use the method of linear transformations to solve the fractional linear programming problems of the mathematical model below, would the ?optimal solution be 1.62 3x, +3x, +2x; +1 2x, +x, +.X; +1 MaxZ = S.t. 2.x, +5x, +x; < 2 Xị +2x, +3.x; < 3arrow_forward
- Example 12.5. Find the maximum value of Z = 2x + 3y subject to the constraints: x + y ≤ 30, y ≥ 3,0 ≤ y ≤ 12, x-y≥0, and 0≤x≤ 20.arrow_forwardWrite a relevant non negative integer value for *K* such that the problem remains feasible and the constraints 3 becomes redundant. A relevent value for *K*=?arrow_forwardConsider the following integer nonlinear programming problem. Маximize Z = xx3x3, XX2X3 , subject to X1 + 2x2 + 3x3< 10 x121, x 2 1, xz 2 1, and X1, X2, X3 are integers. Use dynamic programming to solve this problem. Please show your steps (show your tables).arrow_forward
- 1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x, + 2x2 s 18 X + x2 2 5 X S 4 x2/x, s 7/8 X1, X2 0arrow_forward[3.7] Consider the following linear programming problem: Maximize 2x₁ + x2 subject to 2x₁ + x2 XI + 4x2 XI, X2, x3 + 4x3 ≤ 6 X3 ≤ 4 X3 ≥ 0. -arrow_forwardGlenmont Corporation wants to select 1 project from a set of 4 possible projects. Which of these constraints ensures only 1 project is selected? X1 + X2 + X3 + X4 ≥ 0 X1 + X2 + X3 + X4 ≥ 1 X1 + X2 + X3 + X4 = 1 X1 + X2 + X3 + X4 ≤ 1arrow_forward
- Question 5 Solve the linear programming problem. Minimize Z= -10x + 5y Subject to 2x+3y ≥ 30 2x+y ≤ 26 -2x+y ≤ 2 x, y ≥ 0 Answer (a) and (b) a) Select the correct choice below and fill in any answer boxes present in your choice. What is the minimum value of P? b) What are the coordinates of the corner point(s) where the minimum value of P occurs? (a) Z=10 and (b) Segment (3,8) to (6,14) (a) Z=-110 and (b) (12,2) (a) Z=-100 and (b) (3,8) (a) There is no minimum, (b) Segment from (6,14) to (12,2)arrow_forwardQ.2 Find the maximum value of z = 3x1 + 2x2 + 4x3 Objective function subject to the constraints 3x1 + 2x, + 5x,s 18 4x1 + 2x2 + 3x3 4 where x, > 0, x, 20, and x3 20.arrow_forwardLet’s solve Example 2 from Section 3.1. We found that the linear programming problem was:Minimize C = 44,000x+54,000ySubject to 60x+40y ≥ 24096x+160y ≥ 672x ≥ 0, y ≥ 0arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
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