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Chapter 11: Q. 10 (page 790)

Solve each linear programming problem.

Maximizez=x+3ysubject tox鈮�0y鈮�0x+y鈮�3x鈮�5y鈮�7

Short Answer

Expert verified

Maximum value is 26, we get this value at(5,7)

Step by step solution

01

Step 1. Given information

The given system of linear inequalities is :

x鈮�0y鈮�0x+y鈮�3x鈮�5y鈮�7

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.

02

Step 2. Draw the graph of the system

03

Step 3. Make a table for the corner points

Corner point (x,y)
z=x+3y
(0,3)
z=9
(0,7)
z=21
(3,0)
z=3
(5,0)
z=5
(5,7)
z=26

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