MATH 106 - Quiz 4: Linear Programming and Set Theory - Solved Assignments | Mathematics

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MATH 106-Quiz 4: Linear Programming and Set TheoryMATH 106QUIZ4NAME:______________________Professor:Dr. KatiraieINSTRUCTIONS•The quiz is worth 100 points. There are 10 problems (each worth 10 points).•This quiz isopen bookandopen notes,unlimited time. This means that you mayrefer to your textbook, notes, and online classroom materials, butyou may not consultanyone. You may take as much time as you wish, provided you turn in your quiz no laterthanthe due date posted in our course schedule of the syllabus.•You must show your work to receive full credit. If you do not show your work,you may earn only partial or no credit at the discretion of the professor.Please typeyour work in your copy of the quiz, or if you prefer, create a document containing yourwork. Scanned work is acceptable also. Be sure to include your name in the document.Consult theAdditional Informationportion of the online Syllabus for options regardingthe submission of your quiz. If you have any questions, please contact me by e-mail(farajollah.katiraie@faculty.umuc.edu).MULTIPLE CHOICE.Choose the one alternative that best completes the statementor answers the question.1)Findthe maximumvalueof the function, if itexists, on the given feasible region.Find the maximum of z=4x+8y1)_______A)102B)120C)76D)112

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E) none of the above2)Find the minimum valueof the function, if itexists, on the given feasible region.Find the minimum ofz=x-2y2)_______A)-1B)-13C)-28D)-16E)None of the above3)Use graphical methods to solve the linear programming problem.3) _________Maximizez=6x+7ySubject to:2x+3y≤122x+y≤8x≥0y≥0

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