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MATH100 Lecture 23: 23_Optimization Problems (4.7)

Canada

Calculus I

Mathematics

Vlad Yaskin

University of Alberta

Calculus II

<p>CONCEPT CHECK</p>
<p>Constrained Optimization Problems</p>
<p>Explain what is meant by constrained optimization problems.</p>

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;"> <div> <br> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7942857.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7942857.png" alt=""></picture> </div> </div> <div id="f3t" class="hidden">3.7 Optimization Problems: Problem 9 score is 096. You have unlimited attempts remaining </div> <span class="transcribed-text">Show transcribed image text</span> <span class="transcribed-image-text hidden">3.7 Optimization Problems: Problem 9 score is 096. You have unlimited attempts remaining </span>

<p>Solve the given optimization problems.</p>
<p>Maximize <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/0.webp?img=7b6505e4abd3f90cb59f69001fbd775f" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/0.png?img=1208071030cc84d431ba0537b4c5bc6e" data-mlang="latex" data-equation="P%3Dxyz"></picture> subject to <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/1.webp?img=39a785dac1c7080fc99bd4d4c1fb36d0" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/1.png?img=a9bf944a0836515394ea53ccbfbcb780" data-mlang="latex" data-equation="x%2By%3D30%2Cy%2Bz%3D30%2C"></picture> and <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/2.webp?img=00d22ab2b3542c07890d2dd367ed72ec" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/615658192893718/question/2.png?img=c3fc4d9122dd52d52c95150b92fd7c40" data-mlang="latex" data-equation="x%2Cy%2Cz%5Cgeq%200"></picture> .</p>
<p> </p>

MATH100 Lecture 23: 23_Optimization Problems (4.7)

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