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Chapter 11: Q. 9 (page 790)

Solve each linear programming problem.

Maximizez=2x+ysubject tox鈮�0y鈮�0x+y鈮�6x+y鈮�1

Short Answer

Expert verified

Maximum value is 12, we get this value at(6,0)

Step by step solution

01

Step 1. Given information

The given system of linear inequalities is :

x鈮�0y鈮�0x+y鈮�6x+y鈮�1

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=2x+y
(0,1)
role="math" localid="1646997454100" z=1
(0,6)
z=6
(6,0)
z=12
(1,0)
z=2

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Most popular questions from this chapter

In Problems 23鈥�34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

2x+y鈮�02x+y鈮�2

Graph each inequality by hand.

y>x2+2

Graph each equation of the system. Then solve the system to find the points of intersection.
y=x2+1y=4x+1

Two circles have circumferences that add up to 12蟺cmand areas that add up to 20蟺cm2. Find the radius of each circle.

Verify that the values of the variables listed are solutions of the system of equations.

2x+12y=03x-4y=-192x=-12,y=2;-12,2
See all solutions

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