Set up and solve Exercises 23–29 by the simplex method.
Profit The Muro Manufacturing Company makes two kinds of plasma screen television sets. It produces the Flexscan set that sells for $350 profit and the Panoramic I that sells for $500 profit. On the assembly line, the Flexsean requires 5 hours, and the Panoramic I takes 7 hours. The cabinet shop spends 1 hour on the cabinet for the Flexscan and 2 hours on the cabinet for the Panoramic I Both sets require 4 hours for testing and packing. On a particular production run, the Muro Company has available 3600 work-hours on the assembly line. 900 work-hours in the cabinet shop, and 2600 work-hours in the testing and packing department. (See Exercise 10 in Section 3.3.)
(a) How many sets of each type should it produce lo make a maximum profit? What is the maximum profit?
(b) Find the values of any nonzero slack variables and describe what they tell you about any unused time.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Finite Mathematics (11th Edition)
Additional Math Textbook Solutions
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
Fundamentals of Differential Equations and Boundary Value Problems
Math in Our World
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Basic College Mathematics (12th Edition)
Basic College Mathematics
- Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forwardWhen solving a uniform motion problem, how does creating a table help you?arrow_forwardSolve the system using Gaussian Elimination.arrow_forward
- Han has a thin rectangular sheet of paper. Its area is 450 square inches. He folds it into thirds, and then he folds the resulting rectangle into thirds again. Han believes that after two rounds of folding, the visible area of the folded paper will be 150 square inches or one-third of the original area. Do you agree? Explain your reasoning. What is the visible area of the paper, in square inches, after 4 rounds of folding? Explain or show your reasoning.arrow_forwardFind the solution of the system of equations in the picture.arrow_forwardFind the particular solution.arrow_forward
- The lowest system cost will be the best. Please show work.arrow_forwardAkira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.arrow_forwardWrite the above system of equations in normal form.arrow_forward
- Give two particular solutions to the system. Please show all work thanksarrow_forwardPlease Integrate. Show step-by-step explanation/solution. Thank you!arrow_forwardUse the method of Lagrange multipliers to solve this exercise. Hercules Films is deciding on the price of the video release of its film Son of Frankenstein. Its marketing people estimate that at a price of p dollars, it can sell a total of a = 240,000 – 12,000p copies. What price will bring in the greatest revenue? p = $arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell