Q. 27 Maximize聽z=5聽x+8聽y聽subject t... [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. 27 (page 796)

Maximize $z = 5 x + 8 y$ subject to $x 鈮� 0, 2 x + y 鈮� 8$ and $x - 3 y 鈮� - 3$

Short Answer

Expert verified

The maximum value of function is $64$ at $x = 0 & y = 1$

Step by step solution

Step 1. Given information

An equation is given as $z = 5 x + 8 y$ and conditions are $x 鈮� 0, 2 x + y 鈮� 8 & x - 3 y 鈮� - 3$

Step 2. Plotting graph

The graph for maximize is,

Step 3. Table formation

The corner points and corresponds values are

Corner Points	Value of objective function
(x,y)	$z = 5 x + 8 y$
$(0, 1)$	$z = 5 (0) + 8 (1) = 8$
$(0, 8)$	$z = 5 (0) + 8 (8) = 64$
$(3, 2)$	$z = 5 (3) + 8 (2) = 31$

The maximum value of function is $64$ at $x = 0 & y = 1$

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91影视

Maximize $z = 5 x + 8 y$ subject to $x 鈮� 0, 2 x + y 鈮� 8$ and $x - 3 y 鈮� - 3$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Plotting graph

Step 3. Table formation

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91影视

Maximizez=5x+8ysubject tox鈮�0,2x+y鈮�8andx-3y鈮�-3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Plotting graph

Step 3. Table formation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Maximize $z = 5 x + 8 y$ subject to $x 鈮� 0, 2 x + y 鈮� 8$ and $x - 3 y 鈮� - 3$