1.   In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation?
    A.    l + g > 100, l < 70 B.    l + g < 100, g < 70
    C.    l + g > 100, l > 70 D.    l + g > 100, g < 70
    Hint

  2.   Solve the system of inequalities by graphing.
   
    A.
    B.
    C.
    D.
    Hint

  3.   The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set.
   
   
    A.      (0, 0), (2, 0), and (2, 6) B.      (-1, 1), (-1, 4), and (2, 1)
    C.      (1, -1), (-1, 3), and (2, 1) D.      (1, -4), (3, 0), and (0, 1)
    Hint

  4.   Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities.
   
    A.      12 B.      6
    C.      14 D.      18
    Hint

  5.   Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1
    A. -17 B. 16
    C. -16 D. -3
    Hint