Given that
The objective function is represented as
z = 4x + 6y
And we have to find the maximum and minimum value of the objective function.
Explanation -
The given points on the graph are
A (3, 10)
B (7, 5)
C (8, 3)
D (2, 2)
And we have to find the value of the objective function at A and the maximum and minimum value of the objective function.
So we will find the value of the objective function at all the points.
Hence the maximum value of the objective function is at A i.e 72
and the minimum value of the objective function is at D i.e 20.
Final answer -
So the final answer is - The value of the objective function at A is 72.And the maximum and minimum values are 72 and 20 respectively.