Construction costs. The management of a manufacturing plant wishes to add a fenced-in rectangular storage yard of 20,000 square feet, using a building as one side of the yard (see the figure). If x is the distance (in feet) from the building to the fence, show that the length of the fence required for the yard is given by L ( x ) = 2 x + 20 , 000 x x > 0 (A) Graph L . (B) What are the dimensions of the rectangle requiring the least amount of fencing?
Construction costs. The management of a manufacturing plant wishes to add a fenced-in rectangular storage yard of 20,000 square feet, using a building as one side of the yard (see the figure). If x is the distance (in feet) from the building to the fence, show that the length of the fence required for the yard is given by L ( x ) = 2 x + 20 , 000 x x > 0 (A) Graph L . (B) What are the dimensions of the rectangle requiring the least amount of fencing?
Solution Summary: The author illustrates the graph of the function L=2x+20000x.
Construction costs. The management of a manufacturing plant wishes to add a fenced-in rectangular storage yard of 20,000 square feet, using a building as one side of the yard (see the figure). If x is the distance (in feet) from the building to the fence, show that the length of the fence required for the yard is given by
L
(
x
)
=
2
x
+
20
,
000
x
x
>
0
(A) Graph L.
(B) What are the dimensions of the rectangle requiring the least amount of fencing?
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