For the simplex tableau, complete parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b). d. Determine if the answer in part (c) is optimal. M X₁ 2 2 -6 X2 4 1 -4 x3 1 0 0 X4 0 16 1 이 14 0 1 0

For the simplex tableau, complete parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b). d. Determine if the answer in part (c) is optimal. M X₁ 2 2 -6 X2 4 1 -4 x3 1 0 0 X4 0 16 1 이 14 0 1 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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Question

For the simplex tableau, complete parts (a) through (d).
a. Determine which variable should be brought into the solution.
b. Compute the next tableau.
c. Identify the basic feasible solution corresponding to the tableau in part (b).
d. Determine if the answer in part (c) is optimal.
X₁
2
2
- 6
X2 X3
4
1
1
0
- 4
0
X4
0
1
0
M
ol
0
1
16
14
0

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1) Your colleague does not remember which variables to list in the first column of thetableau. Write down these variables, and give their values.2) What solution does this tableau represent?3) Using the simplex method, what would be the next pivot element?4) Pivot on your chosen element to get the next tableau. What solution do you have now?State if this solution is optimal and justify your answer.
Use the Simplex Method to solve the following problem. Show all work. 2. A contractor builds three types of houses; the Aries, the Belfair and the Wexford. Each house requires one lot and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 12 lots, 47,500 labor-hours and $3,413,000 available for the contractor's use. Belfair 3,700 $279,600 $25,000 Wexford 5,000 Aries 3,000 $205,000 $20,000 Labor-hours Capital Profit $350,000 $30,000 a. Building how many of each type of house will maximize her profit b. What is the maximum possible profit?
59/assignments/318106 Page ne following steps may be helpful for setting up and solving application questions: ep 1: Identify what the problem is asking for. cep 2: Identify the given data and constraints. cep 3: Draw a picture or model to represent the problem in a different way. Dr use the table from Pre-Lecture Module 3 and 5) 11. A legal size sheet of typing paper has length 3 inches less that twice its width. If the area of the paper is 119 inches2, find the dimensions for the sheet of paper.
What is the corresponding system of equations? Restate the problem in terms of equations by adding slack variables or subtracting surplus variables as necessary. Then write the initial simplex tableau. X1 + X2 + X3 S1 = 69 Маximize Z-2x1 + 3x2 — 4xз X1 + X2 + X3 S2 = 48 X1 + X2 X1 20, x2 2 0, X3 0, s, 20, s2 2 0, s3 20 subject to X1 +X2 + X3 <69 + S3 = 60 X1 +X2 + X3 248 X1 +X2 < 60 Write the initial simplex tableau, omitting the z column. Fill in the missing values. X1 20, x2 2 0, X3 20 X1 X2 X3 S1 S2 $3 1 1 1 O 69 1 1 1 0 48 1 1 0| 60 4
the picture gives the equation, please answer the following two questions i typed below in a digital response as it is hard to read some of the handwriting, thank you in advance d) Is there another pivot element? If so, continue until there are no more pivot elements. e) State the solution to the linear programming problem in sentence form