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.
Trending nowThis is a popular solution!
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Additional Math Textbook Solutions
Calculus Volume 2
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Finite Mathematics & Its Applications (12th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
- For 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_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_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_forward
- Please 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_forwardSolve this with grapharrow_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
- Find the optimal value of the objective function for the LP problem (without using simplex method to solve the primal and the dual problem) Min z=10x, + 4x, +5x, subject to 5x, - 7x, +3x, 2 50 X,, X,, X, 20 Hint: Inspect the dual problem.arrow_forwardConsider the following linear programming problem: Max s.t 8A+12B 3A + 6B <= 15 8A + 4B <= 16 Find the optimal solution using the graphical solution procedure. If the objective function is changed to 8A + 11B, what is the optimal solution?arrow_forwardLet (P) denote the linear programming problem min 3x2 + cx3 + 2x3 + 2x3 s.t. 2x1 + = 5 2x2 6. X3 0. where c is a real number. Find all values of c so that every feasible solution to (P) is an optimal solution. Justify your answer.arrow_forward
- 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?arrow_forwardWrite the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)arrow_forwardthis # 3 E D Set up the initial simplex tableau that could be used to solve the following problem by the simplex method. The Fancy Fashions, an independent, local boutique, has $9000 available each month for advertising. Newspaper ads cost $500 each, and no more than 40 can run per month. Internet banner ads cost $20 each, and no more than 60 can run per month. TV ads cost $1000 each, with a maximum of 15 available each month. Approximately 5000 women will see each newspaper ad, 3000 will see each Internet banner, and 11,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize its ad exposure? 80 F3 C Let x₁ = the number of newspaper ads. Let x₂ = the number of Internet banner ads. Let x3 = the number of TV ads. Complete the initial simplex tableau below. SEP 22 54 $ x₁ 500 R 1 FL 0 0 0 000 000 F4 *2 *3 51 V 00-00 00-0 1 % View an example Get more help. 5 1 T 1 FS 0 0 0 0 01 S2 S3 S4 0 0 ^ 6 B 0 = 1 - 99 0 Y 0 F6 H 0 0 1 0 & 7 Z 0 0 0…arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning