This is the concept of perimeter of figures, to get the length of material that is required to make a circle with diameter 6 ft, we are required to calculate for its circumference;
circumference, C= π*diameter
C=3.14*6=18.85 ft
therefore it will take a material whose length is 18.85 ft to make a circle of 6 feet
It's a linear program; the extrema will be at the corners.
Let's enumerate them. 4 choose 2 gives 6 possible meets of 4 lines. One pair are parallel, down to five to try.
4x-y=1 intersects x=0 at y=-1, outside the domain y≥0.
4x-y=1 intersects y=0 at x=1/4, (1/4, 0)
4x-y=1 intersects x=5 at y=19, (5,19)
(0,0) is outside the domain 4(0)-0=0 which isn't ≥1.
(5,0) is a valid corner.
It's a triangular domain. Three points to try,
C(1/4,0) = 6(1/4) + 2(0) = 3/2
C(5,19) = 6(5) + 2(19) = 68
C(5,0) = 6(5) + 2(0) = 30
Answer: Maximum C=68 at (x,y)=(5,19)
G = 85
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You have to multiply -2 to all of the numbers inside the parenthesis and you will have your answer. -6v+4x+2
