Explanation Given Information: The provided the linear programming problem is, Minimize 7 x + 5 y + 4 z subject to { 3 x + 8 y + 9 z ≥ 75 x + 2 y + 5 z ≥ 80 4 x + y + 7 z ≥ 67 x ≥ 0 , y ≥ 0 , z ≥ 0 Consider the provided linear programming problem. Consider the expression ‘Minimize 7 x + 5 y + 4 z ’. It can be written as below, Minimize [ 7 5 4 ] [ x y z ] Next consider the constraints, 3 x + 8 y + 9 z ≥ 75 x + 2 y + 5 z ≥ 80 4 x + y + 7 z ≥ 67 x ≥ 0 , y ≥ 0 , z ≥ 0 This system of inequalities can be written as below, [ 3 8 9 1 2 5 4 1 7 <

MyLab Math plus Pearson eText -- Standalone Access Card -- for Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134765723

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 4.4, Problem 13E

To determine

The matrix formulation of the linear programming problem,

Minimize 7x+5y+4z subject to

{3x+8y+9z≥75x+2y+5z≥804x+y+7z≥67x≥0,y≥0,z≥0

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.4, Problem 12E

Chapter 4.4, Problem 14E

Students have asked these similar questions

Apply Euler's method on the next differential equation with the initial initial value and in the given interval. You must include: a) table and b) graph.\\\[\frac{d y}{d x}=y^{2}-4 x, \quad y(0)=0.5 ; \quad 0 \leq x \leq 2, \quad \Delta x=0.25\]

7. Define the sequence {b} by bo = 0 Ել ։ = 2 8. bn=4bn-1-4bn-2 for n ≥ 2 (a) Give the first five terms of this sequence. (b) Prove: For all n = N, bn = 2nn. Let a Rsuch that a 1, and let nЄ N. We're going to derive a formula for Σoa without needing to prove it by induction. Tip: it can be helpful to use C1+C2+...+Cn notation instead of summation notation when working this out on scratch paper. (a) Take a a² and manipulate it until it is in the form Σ.a. i=0 (b) Using this, calculate the difference between a Σ0 a² and Σ0 a², simplifying away the summation notation. i=0 (c) Now that you know what (a – 1) Σ0 a² equals, divide both sides by a − 1 to derive the formula for a². (d) (Optional, just for induction practice) Prove this formula using induction.

3. Let A, B, and C be sets and let f: A B and g BC be functions. For each of the following, draw arrow diagrams that illustrate the situation, and then prove the proposition. (a) If ƒ and g are injective, then go f is injective. (b) If ƒ and g are surjective, then go f is surjective. (c) If gof is injective then f is injective. Make sure your arrow diagram shows that 9 does not need to be injective! (d) If gof is surjective then g is surjective. Make sure your arrow diagram shows that f does not need to be surjective!

Chapter 4 Solutions

MyLab Math plus Pearson eText -- Standalone Access Card -- for Finite Mathematics & Its Applications (12th Edition)

Ch. 4.1 - 1. Determine by inspection a particular solution...Ch. 4.1 - Prob. 2CYU Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - 7–12 For each of the linear programming problems...

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 matrix formulation of the linear programming problem, Minimize 7 x + 5 y + 4 z subject to { 3 x + 8 y + 9 z ≥ 75 x + 2 y + 5 z ≥ 80 4 x + y + 7 z ≥ 67 x ≥ 0 , y ≥ 0 , z ≥ 0

Solution Summary: The author explains that the matrix formulation of the provided linear programming problem is, Minimize 7x+5y+4z subject to c7& 5& 4

Videos

The matrix formulation of the linear programming problem,

Minimize 7x+5y+4z subject to

{3x+8y+9z≥75x+2y+5z≥804x+y+7z≥67x≥0,y≥0,z≥0

Want to see the full answer?

Chapter 4 Solutions

The matrix formulation of the linear programming problem, Minimize 7 x + 5 y + 4 z subject to { 3 x + 8 y + 9 z ≥ 75 x + 2 y + 5 z ≥ 80 4 x + y + 7 z ≥ 67 x ≥ 0 , y ≥ 0 , z ≥ 0

Solution Summary: The author explains that the matrix formulation of the provided linear programming problem is, Minimize 7x+5y+4z subject to c7& 5& 4

Videos

The matrix formulation of the linear programming problem, Minimize 7x+5y+4z subject to {3x+8y+9z≥75x+2y+5z≥804x+y+7z≥67x≥0,y≥0,z≥0

Want to see the full answer?

Chapter 4 Solutions

The matrix formulation of the linear programming problem,

Minimize 7x+5y+4z subject to

{3x+8y+9z≥75x+2y+5z≥804x+y+7z≥67x≥0,y≥0,z≥0