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Chapter 11: Q. 13 (page 790)

Solve each linear programming problem.

Maximize z=3x+5ysubject tox鈮�0y鈮�0x+y鈮�22x+3y鈮�123x+2y鈮�12

Short Answer

Expert verified

The maximum value is20. We get this value at point(0,4)

Step by step solution

01

Step 1. Given information

The given system of linear inequalities is :

x鈮�0y鈮�0x+y鈮�22x+3y鈮�123x+2y鈮�12

The goal of the task is to solve the problem of linear programming. We are looking for the largest value that can occur if z 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=3x+5y
(0,2)
z=10
(0,4)
z=20
(2,0)
z=6
(4,0)
z=12
(125,125)
z=19.2

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Most popular questions from this chapter

In Problems, use the division algorithm to rewrite each improper fraction as the sum of a quotient and proper fraction. Find the partial fraction decomposition of the proper fraction. Finally, express the improper fraction as the sum of a quotient and the partial fraction decomposition.

x4+x3-x+2x2-2x+1

Graph each inequality by hand.

y>x2+2

If the solution to a system of two linear equations containing two unknowns is x=3,y=-2, then the lines intersect at the point _________.

Graph the equation:y+4=x2

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

x-y=5-3x+3y=2
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