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).
Answer:
The answer to the question is 50.28 feet²
Step-by-step explanation:
Here, is why the answer to the problem is 13.72!
The area of the shaded region is:-
Area of total region - Area of the circular region
Area of total region is 8² so it is 64 feet²
Area of Circular region formula is πr²
Substitute the values, for the formula and it is π4² = 22/7 × 16
→ 352/7
⇒ 13.72 Feet²
Therefore, the area of the shaded region is 13.72 Feet²
(Now, we subtract the two values)
64 - 13.72
⇒ 50.28 Feet²
I hope this answer helps!
Answer:

Step-by-step explanation:
Given equation,


By cross multiplication,





