Linear Algebra And Its Applications
5th Edition
ISBN: 9781292092232
Author: Lay, David C. (author.)
Publisher: PEARSON
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Textbook Question
Chapter 9.4, Problem 16E
Exercises 15 and 16 refer to Exercise 15 in Section 9.2. This exercise was solved using the simplex method in Exercise 17 of Section 9.3. Use the final simplex tableau for that exercise to answer the following questions.
16. If an extra hour of labor were available, to which department should it be allocated? Why?
15. The Benri Company manufactures two kinds of kitchen gadgets: invertible widgets and collapsible whammies. The production process is divided into three departments: fabricating, packing, and shipping. The hours of labor required for each operation and the hours available in each department each day are shown below.
| Widgets | Whammies | Time available | |
| Fabricating | 5.0 | 2.0 | 200 |
| Packing | 0.2 | 0.4 | 16 |
| Shipping | 0.2 | 0.2 | 10 |
Suppose that the profit 011 each widget is $20 and the profit on each whammy is $26. How many widgets and how many whammies should be made each day to maximize the company’s profit?
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Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
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+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
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Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Chapter 9 Solutions
Linear Algebra And Its Applications
Ch. 9.1 - Find the optimal strategies and the value of the...Ch. 9.1 - Player R has a supply of dimes and quarters....Ch. 9.1 - Prob. 2ECh. 9.1 - In the traditional Japanese childrens game janken...Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Find all saddle points for the matrix games in...Ch. 9.1 - Prob. 9E
Ch. 9.1 - Prob. 10ECh. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - Prob. 16ECh. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 11-18, find the optimal row and...Ch. 9.1 - In Exercises 21 and 22, mark each statement True...Ch. 9.1 - In Exercises 21 and 22, mark each statement True...Ch. 9.1 - Find the optimal strategies and the value of the...Ch. 9.1 - Bill and Wayne are playing a game in which each...Ch. 9.1 - Consider the matrix game A=[abcd] where A has no...Ch. 9.2 - Consider the following problem: Maximize 2x1 + x2...Ch. 9.2 - Graph the feasible set for Practice Problem 1.Ch. 9.2 - Find the extreme points of the feasible set in...Ch. 9.2 - Use the answer to Practice Problem 3 to find the...Ch. 9.2 - Betty plans to invest a total of 12,000 in mutual...Ch. 9.2 - A dog breeder decides to feed his dogs a...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 3-6, find vectors b and c and matrix...Ch. 9.2 - In Exercises 7-10, solve the linear programming...Ch. 9.2 - In Exercises 7-10, solve the linear programming...Ch. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.3 - Use the simplex method to solve the following...Ch. 9.3 - In Exercises 1 and 2, set up the initial simplex...Ch. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Exercises 7 and 8 relate to a canonical linear...Ch. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Solve Exercises 9-14 by using the simplex method....Ch. 9.3 - Solve Exercises 9-14 by using the simplex method...Ch. 9.3 - Solve Exercises 9-14 by using the simplex method....Ch. 9.3 - Solve Example 7 by bringing x1 into the solution...Ch. 9.3 - Use the simplex method to solve the linear...Ch. 9.3 - Prob. 17ECh. 9.3 - Use the simplex method to solve the linear...Ch. 9.4 - The following questions relate to the Shady-Lane...Ch. 9.4 - The following questions relate to the Shady-Lane...Ch. 9.4 - Prob. 3PPCh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - In Exercises 1-4, state the dual of the given...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - In Exercises 5-8, use the final tableau in the...Ch. 9.4 - Exercises 9 and 10 relate to a primal linear...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Sometimes a minimization problem has inequalities...Ch. 9.4 - Exercises 15 and 16 refer to Exercise 15 in...Ch. 9.4 - Exercises 15 and 16 refer to Exercise 15 in...Ch. 9.4 - Solve the matrix games in Exercises 17 and 18 by...Ch. 9.4 - Solve the matrix games in Exercises 17 and 18 by...Ch. 9.4 - Solve the matrix game in Exercise 9 in Section 9.1...Ch. 9.4 - Solve the matrix game in Exercise 10 in Section...Ch. 9.4 - Prob. 22ECh. 9.4 - Prob. 23E
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