EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
4th Edition
ISBN: 9781337516853
Author: Larson
Publisher: CENGAGE CO
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Question
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Chapter 9, Problem 10CLT
To determine

To sketch the region and find the minimum and maximum values of the objective function.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information: Given objective function and constraints.

  z=3x+2yx+4y≤202x+y≤12x≥0y≥0

Graph: Sketch the graph using online tools based on the problems.

  EBK PRECALCULUS W/LIMITS, Chapter 9, Problem 10CLT

Interpretation: Observation from the graph.

Here we see that, vertices are:

  (0,0)(0,5)(4,4)(6,0)

Now we will calculate the objective function for each vertex.

  z=3x+2yz(0,0)=3(0)+2(0)=0z(0,5)=3(0)+2(5)=10z(4,4)=3(4)+2(4)=20z(6,0)=3(6)+2(0)=18

Maximum value is 20 and minimum value is 0.

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Chapter 9, Problem 9CLT
Next
Chapter 9, Problem 11CLT

Chapter 9 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
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