Answer:
Minimum Values:
x = 0, y = 1, z = 3
Maximum Values:
x = 7 , y = 11 , z = 47
Step-by-step explanation:
FOR MINIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the minimum value of x must be 0.
y>= 1
This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:
z = 2x + 3y
z = (2)(0) + (3)(1)
z = 3 (Minimum)
FOR MAXIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the maximum value of x must be 7.
x + y <= 11
To calculate maximum value of y we can use the minimum value of x in this inequality:
0 + y <= 11
y <= 11
Hence, the maximum value of y is 11.
Using these maximum values of x and y to get the maximum value of z:
z = 2x + 3y
z = (2)(7) + (3)(11)
z = 47 (Maximum)
