Refer to Exercise 32, Maximum of F – Minimum of F =
A. 60
B. 48
C. 42
D. 18
Correct Answer A)
Answer:
F = 4x + 6y
Corner points - (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).
Value of F at corner points –
At (0, 2), F = 12
At (3, 0), F = 12
At (6, 0), F = 24
At (6, 8), F = 72
At (0, 5), F = 30
Feasible region –
Considering, feasible region to be bounded so it is a closed polygon.
Minimum value of F = 12
Maximum value of F = 72
So, Maximum of F – Minimum of F = 60.