For the simplex tableau in Problems 1-4,
(A) Identify the basic and nonbasic variables.
(B) Find the corresponding basic feasible solution.
(C) determine whether the optimal solution has been found, an additional pivot is required, or the problem has no optimal solution.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
FINITE MATHMATICS F/ BUSI...-ACCESS
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Thinking Mathematically (6th Edition)
College Algebra (7th Edition)
A First Course in Probability (10th Edition)
Pre-Algebra Student Edition
- What is considered "the best of both worlds" for working with non-linear problems in Excel? -GRG Multi-start -Simplex LP -Evolutionary -GRG Nonlineararrow_forwardSolve the following using Simplex Method. 1. A factory makes three types of chairs, A, B, and C. The factory makes a profit ci P200 on chair A, P300 on chair B, and P400 on chair C. Chair A requires 30 man-hours, chair B requires 20, and chair C requires 10. Chair A needs 2m2 of wood, chair needs 5m2, and chair C needs 3m2. Given 100 man-hours and 15m2 of wood per week, how many chairs of each type should be made each week to maximize profit? 2. Maximize Z = 8x +6 x Subject to: 10x,+ X2s 12 2xi+ 5 x2s 16 X120 INHarrow_forwardFor the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solution determined by setting the nonbasic variables equal to 0, and (c) decide whether this is a maximum solution. X1 X2 X3 S1 S2 0 28 0 16 1 14 7 3 - 1 1 2 1 0 - 3 8 3 (a) What are the basic variables? (Use a comma to separate answers as needed.)arrow_forward
- Solve the problem below using simplex method. 1. A small company will be introducing a new line of lightweight bicycle frames to be made from special aluminum and steel alloys. The frames will be produced in two models, deluxe and professional, with anticipated unit profits of $10 and $15, respectively. The number of pounds of aluminum alloy and steel alloy needed per deluxe frame is 2 and 3 respectively. The number of pounds of aluminum alloy and steel alloy needed per professional frame is 4 and 2, respectively. A supplier delivers 100 pounds of the aluminum alloy and 80 pounds of the steel alloy weekly. What is the optimal weekly production schedule?arrow_forwardThe problem below involves three variables. Solve it with the simplex method, Excel, or some other technology.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 9 lots, 34,400 labor-hours, and $2,429,200 available for the contractor's use. Aries Belfair Wexford Labor-hours 3,000 3,700 5,000 Capital $205,000 $279,600 $350,000 Profit $20,000 $25,000 $30,000 (a) Building how many of each type of house will maximize his profit? Aries houses Belfair houses Wexford houses (b) What is the maximum possible profit?$arrow_forwardWork through the simplex method (in algebraic form) step by step to solve the following problem. Maximize Z = x1 + 2x2 + 2x3, subject to 5x1 + 2x2 + 3x3 ≤ 15 x1 + 4x2 + 2x3 ≤ 12 2x1+ x3 ≤ 8 and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.arrow_forward
- Solve the following LPP problems using Simplex Method: 3. Max Z = 3x1 + 2 x2 + 5x3 Subject to X1+2x2+X3 =0arrow_forwardThe problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. A contractor builds three types of houses: the Aries, the Belfaic and the Wexford. The following table gives the number of lots, labor-hours and the amount of capital needed for each type of house. There are 13 lots, 52,400 labor-hours, and $3,684,200 of capital available for the contractor's use. The profit on the Aries is $20,000, the profit on the Belfair is $25,000 and the profit on the Wexford is $30.000. Belfair Wexford Locs Aries Submit Answer 1 3,000 $205,000 1 Labor-hours 5,000 3,700 $279,600 $350,000 Capital (a) Building how many of each type of house will maximize his profit? Aries houses houses houses (6) What is the maximum possible profit? $ Belfair Wexfordarrow_forwardFor the linear programming problem to the right, (a) Set up the simplex tableau. (b) Determine the particular solution corresponding to the initial tableau (a) Set up the simplex tableau 8 1 0 1 1 0 1 0 0 0 0 1 10 W 0 0 1 0 (b) Determine the particular solution corresponding to the initial tableau x=y=2-u-113, v-w-M=0. 0 0 0 0 1 218 113 Maximize x + 5y-7z subject to the listed constraints. x+y+z=113 7x +x≤218 8x+14y $113 x20, y20, 220arrow_forward
- Solve this with grapharrow_forwardPlease show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did.arrow_forwardA franchise of a chain of Mexican restaurants wants to determine the best location to attract customers from three suburban neighborhoods. The coordinates of the three suburban neighborhoods are as follows: Neighborhood Liberty Jefferson Adams X-Coordinate a. Linear ✔b. Integer 3 8 4 What type of optimization problem is this? c. Nonlinear The population of Adams is four times as large as Jefferson, and Jefferson is twice as large as Liberty. The restaurant wants to consider the population in its location decision. Develop and solve a model to find the best location, assuming that straight-line distances can be used between the locations. Y-Coordinate 9 5 4 What are the x and y coordinates for the optimal solution? Report answer to two decimal places in the following format (x,y) For example, if the solution was x=0 and y=0, report the answer as: (0.00, 0.00)arrow_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