Q. 14 Solve each linear programming pr... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 14 (page 790)

Solve each linear programming problem.
Maximize $z = 5 x + 3 y$ subject to $\{\begin{cases} x 鈮� 0 \\ y 鈮� 0 \\ x + y 鈮� 2 \\ x + y 鈮� 8 \\ 2 x + y 鈮� 10 \end{cases}$

Short Answer

Expert verified

The maximum value is $28$ .We get this value at $(2, 6)$

Step by step solution

Step 1. Given information

The given system of linear inequalities is :

$\{\begin{cases} x 鈮� 0 \\ y 鈮� 0 \\ x + y 鈮� 2 \\ x + y 鈮� 8 \\ 2 x + y 鈮� 10 \end{cases}$

The goal of the task is to solve the problem of linear programming. We are looking for the largest value that can occur if x and y are solutions of the system. We draw a graph of the system and read the corner points from the graph.

Step 2. Draw the graph of the system

Step 3. Make a table for the corner points

Corner point (x,y)	$z = 5 x + 3 y$
$(0, 8)$	$z = 24$
$(2, 6)$	$z = 28$
$(5, 0)$	$z = 25$
$(2, 0)$	$z = 10$
$(0, 2)$	$z = 6$

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91影视

Solve each linear programming problem.
Maximize $z = 5 x + 3 y$ subject to $\{\begin{cases} x 鈮� 0 \\ y 鈮� 0 \\ x + y 鈮� 2 \\ x + y 鈮� 8 \\ 2 x + y 鈮� 10 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Draw the graph of the system

Step 3. Make a table for the corner points

One App. One Place for Learning.

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91影视

Solve each linear programming problem.Maximizez=5x+3ysubject tox鈮�0y鈮�0x+y鈮�2x+y鈮�82x+y鈮�10

Short Answer

Step by step solution

Step 1. Given information

Step 2. Draw the graph of the system

Step 3. Make a table for the corner points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Decision Maths

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each linear programming problem.
Maximize $z = 5 x + 3 y$ subject to $\{\begin{cases} x 鈮� 0 \\ y 鈮� 0 \\ x + y 鈮� 2 \\ x + y 鈮� 8 \\ 2 x + y 鈮� 10 \end{cases}$