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Answer:
Minimum value of is 80 at (1.5,2.5)
Step-by-step explanation:
We are given
The objective function is, Minimize
With the constraints as,
So, upon plotting the constraints, we see that,
The boundary points of the solution region are,
(1,5), (1.5,2.5) and (4,2).
So, the minimum values at these points are,
Points
(1,5) i.e. p = 140
(1.5,2.5) i.e. p= 80
(4,2) i.e. p = 92
Thus, the minimum value of is 80 at (1.5,2.5).
