Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 3, Problem 33RE
To determine
To explain: The reason why the solution to a linear programming problem must always occur at a corner point of the feasible region.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Remix
4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves
to each of the given initial value problems.
(a)
x = x+2y
1111
y = -3x+y
with x(0) = 1, y(0) = -1
(b) Consider the initial value problem corresponding to the given phase portrait.
x = y
y' = 3x + 2y
Draw two "straight line solutions"
passing through (0,0)
(c) Make guesses for the equations of the straight line solutions: y = ax.
It was homework
No chatgpt pls will upvote
Chapter 3 Solutions
Finite Mathematics (11th Edition)
Ch. 3.1 - Graph each linear inequality. x + y 2Ch. 3.1 - Graph each linear inequality. y x + 1Ch. 3.1 - Graph each linear inequality. x 2 yCh. 3.1 - Graph each linear inequality. y x 3Ch. 3.1 - Graph each linear inequality. 4x y 6Ch. 3.1 - Graph each linear inequality. 4y + x 6Ch. 3.1 - Graph each linear inequality. 7. 4x + y 8Ch. 3.1 - Graph each linear inequality. 2x y 2Ch. 3.1 - Graph each linear inequality. x + 3y 2Ch. 3.1 - Graph each linear inequality. 2x + 3y 6
Ch. 3.1 - Graph each linear inequality. x 3yCh. 3.1 - Graph each linear inequality. 2x yCh. 3.1 - Graph each linear inequality. x + y 0Ch. 3.1 - Graph each linear inequality. 3x + 2y 0Ch. 3.1 - Graph each linear inequality. y xCh. 3.1 - Graph each linear inequality. y 5xCh. 3.1 - Graph each linear inequality. x 4Ch. 3.1 - Graph each linear inequality. y 5Ch. 3.1 - Graph each linear inequality. y 2Ch. 3.1 - Graph each linear inequality. x 4Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - The regions A through G in the figure can be...Ch. 3.1 - Production Scheduling A small pottery shop makes...Ch. 3.1 - Time Management Carmella and Walt produce handmade...Ch. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - For Exercises 42-47, perform the following steps....Ch. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.2 - The following graphs show regions of feasible...Ch. 3.2 - The following graphs show regions of feasible...Ch. 3.2 - The following graphs show regions of feasible...Ch. 3.2 - The following graphs show regions of feasible...Ch. 3.2 - The following graphs show regions of feasible...Ch. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Use graphical methods to solve each linear...Ch. 3.2 - Prob. 9ECh. 3.2 - Use graphical methods to solve each linear...Ch. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Use graphical methods to solve each linear...Ch. 3.2 - Use graphical methods to solve each linear...Ch. 3.3 - Write Exercises 16 as linear inequalities....Ch. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Transportation The Miers Company produces small...Ch. 3.3 - Transportation A manufacturer of refrigerators...Ch. 3.3 - Finance A pension fund manager decides to invest a...Ch. 3.3 - Profit A small country can grow only two crops for...Ch. 3.3 - Prob. 11ECh. 3.3 - Revenue A candy company has 150 kg of...Ch. 3.3 - Blending The Mostpure Milk Company gets milk from...Ch. 3.3 - Profit The Muro Manufacturing Company makes two...Ch. 3.3 - Prob. 15ECh. 3.3 - Revenue The manufacturing process requires that...Ch. 3.3 - Prob. 17ECh. 3.3 - Manufacturing (Note: Exercises #x2013;20 are from...Ch. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Life Sciences Health Care David Willis takes...Ch. 3.3 - Prob. 22ECh. 3.3 - Nutrition A dietician is planning a snack package...Ch. 3.3 - Prob. 24ECh. 3.3 - Anthropology An anthropology article presents a...Ch. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3 - Use sensitivity analysis to find the optimal...Ch. 3 - Prob. 2EACh. 3 - Prob. 3EACh. 3 - Prob. 4EACh. 3 - Prob. 5EACh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - How many constraints are we limited to in the...Ch. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Use the given regions to find the maximum and...Ch. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Cost Analysis DeMarco's pizza shop makes two...Ch. 3 - Prob. 39RECh. 3 - Revenue How many pizzas of each kind should the...Ch. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Steel A steel company produces two types of...Ch. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- (7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz). Ꮖ (a) (4 points) Show that V x F = 0. (b) (4 points) Find a potential f for the vector field F. (c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use Stokes' Theorem to calculate the line integral Jos F.ds; as denotes the boundary of S. Explain your answer.arrow_forward(3) (16 points) Consider z = uv, u = x+y, v=x-y. (a) (4 points) Express z in the form z = fog where g: R² R² and f: R² → R. (b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate steps otherwise no credit. (c) (4 points) Let S be the surface parametrized by T(x, y) = (x, y, ƒ (g(x, y)) (x, y) = R². Give a parametric description of the tangent plane to S at the point p = T(x, y). (d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic approximation) of F = (fog) at a point (a, b). Verify that Q(x,y) F(a+x,b+y). =arrow_forward(6) (8 points) Change the order of integration and evaluate (z +4ry)drdy . So S√ ² 0arrow_forward
- (10) (16 points) Let R>0. Consider the truncated sphere S given as x² + y² + (z = √15R)² = R², z ≥0. where F(x, y, z) = −yi + xj . (a) (8 points) Consider the vector field V (x, y, z) = (▼ × F)(x, y, z) Think of S as a hot-air balloon where the vector field V is the velocity vector field measuring the hot gasses escaping through the porous surface S. The flux of V across S gives the volume flow rate of the gasses through S. Calculate this flux. Hint: Parametrize the boundary OS. Then use Stokes' Theorem. (b) (8 points) Calculate the surface area of the balloon. To calculate the surface area, do the following: Translate the balloon surface S by the vector (-15)k. The translated surface, call it S+ is part of the sphere x² + y²+z² = R². Why do S and S+ have the same area? ⚫ Calculate the area of S+. What is the natural spherical parametrization of S+?arrow_forward(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve starting from the point (1,0,1).arrow_forward(9) (16 points) Let F(x, y, z) = (x² + y − 4)i + 3xyj + (2x2 +z²)k = - = (x²+y4,3xy, 2x2 + 2²). (a) (4 points) Calculate the divergence and curl of F. (b) (6 points) Find the flux of V x F across the surface S given by x² + y²+2² = 16, z ≥ 0. (c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] × [0,1] x [0,1].arrow_forward
- (8) (12 points) (a) (8 points) Let C be the circle x² + y² = 4. Let F(x, y) = (2y + e²)i + (x + sin(y²))j. Evaluate the line integral JF. F.ds. Hint: First calculate V x F. (b) (4 points) Let S be the surface r² + y² + z² = 4, z ≤0. Calculate the flux integral √(V × F) F).dS. Justify your answer.arrow_forwardDetermine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle. a = 13, b = 15, C = 68° Law of Sines Law of Cosines Then solve the triangle. (Round your answers to four decimal places.) C = 15.7449 A = 49.9288 B = 62.0712 × Need Help? Read It Watch Itarrow_forward(4) (10 points) Evaluate √(x² + y² + z²)¹⁄² exp[}(x² + y² + z²)²] dV where D is the region defined by 1< x² + y²+ z² ≤4 and √√3(x² + y²) ≤ z. Note: exp(x² + y²+ 2²)²] means el (x²+ y²+=²)²]¸arrow_forward
- (2) (12 points) Let f(x,y) = x²e¯. (a) (4 points) Calculate Vf. (b) (4 points) Given x directional derivative 0, find the line of vectors u = D₁f(x, y) = 0. (u1, 2) such that the - (c) (4 points) Let u= (1+3√3). Show that Duƒ(1, 0) = ¦|▼ƒ(1,0)| . What is the angle between Vf(1,0) and the vector u? Explain.arrow_forwardFind the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.) a b 29 39 66.50 C 17.40 d 0 54.0 126° a Ꮎ b darrow_forwardAnswer the following questions related to the following matrix A = 3 ³).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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