MATH 106 - Quiz 4: Linear Programming and Set Theory

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MATH 106 - Quiz 4: Linear Programming and Set Theory MATH 106 QUIZ 4 NAME: _____ __________ _______ Professor: Dr. Katiraie INSTRUCTIONS • The quiz is worth 100 points. There are 10 problems (each worth 10 points). • This quiz is open book and open notes , unlimited time . This means that you may refer to your textbook, notes, and online classroom materials, but you may not consult anyone . You may take as much time as you wish, provided you turn in your quiz no later than the 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 type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. Be sure to include your name in the document. Consult the Additional Information portion of the online Syllabus for options regarding the 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 statement or answers the question. 1) Find the maximum value of the function, if it exist s , on the given feasible region. Find the maximum of z = 4x + 8y 1) _______ A) 102 B) 120 C) 76 D) 112
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E) none of the above 2) Find the minimum value of the function, if it exist s , on the given feasible region. Find the minimum of z = x - 2y 2) _______ A) - 1 B) - 13 C) - 28 D) - 16 E) None of the above 3) Use graphical methods to solve the linear programming problem. 3) _________ Maximize z = 6x + 7y S ubject to: 2x + 3y ≤ 12 2x + y ≤ 8 x ≥ 0 y ≥ 0

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