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Chapter 11: Q. 3 (page 789)

Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points.

z=x+y

Short Answer

Expert verified

The minimum value is 3 and the maximum value is 11.

Step by step solution

01

Step 1. Given information

The goal of the task is to find the maximum and minimum values of the function. To solve this task, we use the points given in the task

Function given is z=x+y

Points are :(0,6),(5,6),(0,3),(5,2),(4,0)

02

Step 2. Substitute (0,6) into the equation 

z=x+y=0+6=6

03

Step 3. Substitute (5,6) into the equation 

z=x+y=5+6=11

04

Step 4. Substitute (0,3) into the equation 

z=x+y=0+3=3

05

Step 5. Substitute (5,2) into the equation 

z=x+y=5+2=7

06

Step 6. Substitute (4,0) into the equation 

z=x+y=4+0=4

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.

3x+3y=-14x+y=83

The product of two numbers is 10, and the difference of their squares is 21. Find the numbers.

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x2+y2=10;y=x+2

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

3x-4y=412x-3y=-12x=2,y=12;2,12

Graph the equation:x2+4y2=4
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