1.   Which coordinates are not of the vertices of the feasible region for the system of inequalities?



    A. (2, 4) B. (5, 1)
    C. (5, 4) D. (0, 6)
    Hint

  2.   Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region.
   
    A. 27 B. -28
    C. 14 D. -14
    Hint

  3.   Find the value of 63.
    A. 18
    B. 216
    C. 36
    D. 729
    Hint

  4.   Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. Which inequality is not part of the system of inequalities that represents the problem?
    A.
    B.
    C.
    D.
    Hint

  5.   Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region?
   
    A. (0, 0) B. (20, 0)
    C. (15, 0) D. (0, 5)
    Hint



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