Find the values of the function on the given feasible region

Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 7x + 7y.

Solution

The maximum and minimum value will occur at the vertices (6,0),(0,5),(5/2,5),(10,0)

P(6,0) = 42

P(0,5) = 35

P(5/2,5) = 52.5

P(10,0) = 70

Therefore maximum value = 70

minimum value = 35