Finite Mathematics and Calculus with Applications
1st Edition
ISBN: 9781323188361
Author: Margaret Lial
Publisher: Pearson Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.2, Problem 39E
Set up and solve Exercises 35–40 by the simplex method.
Social Sciences
39. Politics A political party is planning a half-hour television show. The show will have at least 3 minutes of direct requests for money from viewers. Three of the party’s politicians will be on the show—a senator, a congresswoman, and a governor. The senator, a party “elder statesman,” demands that he be on screen at least twice as long as the governor. The total time taken by the senator and the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 35, 40, and 45 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of viewers. Find the maximum number of viewers.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications
Ch. 4.1 - Prob. 1YTCh. 4.1 - Prob. 2YTCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Convert each inequality into an equation by adding...Ch. 4.1 - For Exercises 58, (a) determine the number of...Ch. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8E
Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Pivot once as indicated in each simplex tableau....Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Set up Exercises 2731 for solution by the simplex...Ch. 4.1 - Prob. 31ECh. 4.2 - Use the simplex method to solve the problem in...Ch. 4.2 - Pivot on the 4 in Example 2 and write the...Ch. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - In Exercises 16, the initial tableau of a linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use the simplex method to solve each linear...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - Use a graphing calculator, Excel, or other...Ch. 4.2 - The simplex algorithm still works if an indicator...Ch. 4.2 - What goes wrong if a quotient other than the...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Set up and solve Exercises 2329 by the simplex...Ch. 4.2 - Profit A manufacturer makes two products, toy...Ch. 4.2 - Profit The Ball Company manufactures three types...Ch. 4.2 - Profit The Golden Hawk Manufacturing Company wants...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 36ECh. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Set up and solve Exercises 3540 by the simplex...Ch. 4.2 - Prob. 40ECh. 4.3 - Prob. 1YTCh. 4.3 - Prob. 2YTCh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Use the simplex method to solve. 10. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 11. Find y1 0...Ch. 4.3 - Use the simplex method to solve. 12....Ch. 4.3 - Prob. 13ECh. 4.3 - Use the simplex method to solve. 14....Ch. 4.3 - Use the simplex method to solve. 15....Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Suppose the coefficient of 3 in the objective...Ch. 4.3 - Business and Economics 19. Production Costs A...Ch. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - In most examples of this section, the original...Ch. 4.3 - Prob. 23ECh. 4.3 - Business and Economics 24. Animal Food An animal...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 1YTCh. 4.4 - Finish the missing steps in Example 2 and show the...Ch. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Use the simplex method to solve. 9. Find x1 0 and...Ch. 4.4 - Prob. 10ECh. 4.4 - Use the simplex method to solve. 11. Find x1 0,...Ch. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Solve using artificial variables. 17.Ch. 4.4 - Prob. 18ECh. 4.4 - Solve using artificial variables. 19.Ch. 4.4 - Solve using artificial variables. 20.Ch. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Transportation Change Exercise 23 so that the two...Ch. 4.4 - Transportation The manufacturer of a popular...Ch. 4.4 - Investments Deb Harden has decided to invest a...Ch. 4.4 - Finance A bank has set aside a maximum of 25...Ch. 4.4 - Blending Seed Topgrade Turf lawn seed mixture...Ch. 4.4 - Blending Seed Change Exercise 28 so that the...Ch. 4.4 - Prob. 30ECh. 4.4 - Blending Chemicals Natural Brand plant food is...Ch. 4.4 - Prob. 32ECh. 4.4 - Calorie Expenditure Joe Veteres exercise regimen...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - CONCEPT CHECK Determine whether each of the...Ch. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - For each problem, (a) add slack variables or...Ch. 4 - For each problem, (a) add slack variables or...Ch. 4 - Use the simplex method to solve each maximization...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Convert each problem into a maximization problem...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Use the simplex method to solve each problem. (You...Ch. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - In solving a linear programming problem, you are...Ch. 4 - In Chapter 2 we wrote a system of linear equations...Ch. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - APPLICATIONS For Exercises 3740, (a) select...Ch. 4 - Solve Exercise 37. Business and Economics 37....Ch. 4 - Solve Exercise 38. Business and Economics 38....Ch. 4 - Solve Exercise 39. 39. Profit The Aged Wood Winery...Ch. 4 - Solve Exercise 40. 40. Production Costs Cauchy...Ch. 4 - Canning Cauchy Canners produces canned corn,...Ch. 4 - Food Cost A store sells two brands of snacks. A...Ch. 4 - Calorie Expenditure Gingers exercise regimen...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Decide whether each limit exists. If a limit exists, estimate its value. 11. (a) lim f(x) x-3 f(x) ↑ 4 3- 2+ (b) lim f(x) x―0 -2 0 X 1234arrow_forwardDetermine whether the lines L₁ (t) = (-2,3, −1)t + (0,2,-3) and L2 p(s) = (2, −3, 1)s + (-10, 17, -8) intersect. If they do, find the point of intersection.arrow_forwardConvert the line given by the parametric equations y(t) Enter the symmetric equations in alphabetic order. (x(t) = -4+6t = 3-t (z(t) = 5-7t to symmetric equations.arrow_forward
- Find the point at which the line (t) = (4, -5,-4)+t(-2, -1,5) intersects the xy plane.arrow_forwardFind the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .arrow_forward1 Find a vector parallel to the line defined by the parametric equations (x(t) = -2t y(t) == 1- 9t z(t) = -1-t Additionally, find a point on the line.arrow_forward
- Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t) = 7t = 2-9t z(t) to the point (-1, 1, −3).arrow_forwardLet ä(t) = (3,-2,-5)t + (7,−1, 2) and (u) = (5,0, 3)u + (−3,−9,3). Find the acute angle (in degrees) between the lines:arrow_forwardA tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY