In Problems 37-40, there is a tie for the choice of the first pivot column. Use the simplex method to solve each problem two different ways: first by choosing column
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Additional Math Textbook Solutions
Calculus Volume 2
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Thinking Mathematically (7th Edition)
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Mathematical Ideas (13th Edition) - Standalone book
- Solve 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_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_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_forward
- Please help, I don't understandarrow_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_forwardThe problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 164 feet of wrought iron, 72 hours for cutting and assembly, and 50 hours for detail and finishing. The profits are $60 for each dining table, $48 for each chair, and $36 for each stool. Suppose Patio Iron wants to maximize its profits each day by making dining tables, chairs, and stools. Let x be the number of dining…arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning