Refer to Exercise 27. (Maximum value of Z + Minimum value of Z) is equal to


Value of Z = 3x – 4y, at corner points are –


At (0, 0) = 0


At (0, 8) = -32


At (4, 10) = -28


At (6, 8) = -14


At (6, 5) = -2


At (5, 0) = 15


So, clearly maximum value is at (5, 0)


Maximum value = 15,


Minimum value = -32


So, maximum + minimum = 15 -32


= -17

29
1