Explanation Given: Maximize P = 24 x + 16 y + 23 z . Subject to 2 x + y + 2 z ≤ 7 2 x + 3 y + z ≤ 8 x + 2 y + 3 z ≤ 7 x ≥ 0 y ≥ 0 z ≥ 0 Calculation: Maximize P = 24 x + 16 y + 23 z . Subject to 2 x + y + 2 z ≤ 7 2 x + 3 y + z ≤ 8 x + 2 y + 3 z ≤ 7 x ≥ 0 y ≥ 0 z ≥ 0 The initial simplex tableau is, x y z u v w p Constant ( 2 ) 1 2 1 0 0 0 7 2 3 1 0 1 0 0 8 1 2 3 0 0 1 0 7 − 24 − 16 − 23 0 0 0 1 0 Further solve the above equation. 1 2 R 1 x y z u v w p Constant ( 1 ) 1 2 1 1 2 0 0 0 7 2 2 3 1 0 1 0 0 8 1 2 3 0 0 1 0 7 − 24 − 16 − 23 0 0 0 1 0 Further solve the above equation. R 2 − 2 R 1 x y z u v w p Constant R 3 − R 1 1 1 2 1 1 1 2 0 0 7 2 R 4 + 24 R 1 0 ( 2 ) − 1 − 1 1 0 0 1 0 3 2 2 − 1 2 0 1 0 7 2 0 − 4 1 12 0 0 1 84 Further solve the above equation. 1 2 R 2 x y z u v w p Constant 1 1 2 1 1 2 0 0 0 7 2 0 ( 1 ) − 1 2 − 1 2 1 2 0 0 1 2 0 3 2 2 − 1 2 0 1 0 7 2 0 − 4 1 12 0 0 1 84 Further solve the above equation

Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th

11th Edition

ISBN: 9781285845722

Author: Tan, Soo T.

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 4.1, Problem 31E

To determine

The solution for the given linear programming by the simplex method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 30E

Chapter 4.1, Problem 32E

Students have asked these similar questions

18. Let X be normally distributed with mean μ = 2,500 and stan- dard deviation σ = 800. a. Find x such that P(X ≤ x) = 0.9382. b. Find x such that P(X>x) = 0.025. ة نفـة C. Find x such that P(2500

17. Let X be normally distributed with mean μ = 2.5 and standard deviation σ = 2. a. Find P(X> 7.6). b. Find P(7.4≤x≤ 10.6). 21 C. Find x such that P(X>x) = 0.025. d. Find x such that P(X ≤x≤2.5)= 0.4943. and stan-

(1) Let M and N be non-empty subsets of a linear space X, show that whether = U or not, and show that there whether exsits a liear function from P₂(x) into R' which onto but not one-to-one or not. ام (2) Let R be a field of real numbers and P,(x)=(a+bx+cx? / a,b,ce R} be a vector space over R, show that whether there exsit two hyperspaces A and B such that AUB is a hyperspace or not. (3) Let A be an affine set in a linear space X over afield F and tEA, show that A-t is a subspace of Xand show that if M and N are balanced sets then M+N is balanced set. (4) Write the definition of bounded set in a normed space, and write with prove an equivalent statement to definition. (5) Let d be a metric on a linear space X over a field F, write conditions on d in order to get that there is a norm on X induced dy d and prove that. (6) Let M be a non-empty subset of a normed space X, show that xEcl(M) iff for any r>o there exsits yEM such that llx-yll

Chapter 4 Solutions

Student Solutions Manual for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 11th

Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-16, determine whether the given...

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.

The solution for the given linear programming by the simplex method.

Solution Summary: The author determines the solution for the given linear programming by the simplex method.

Videos

The solution for the given linear programming by the simplex method.

Want to see the full answer?

Chapter 4 Solutions