Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $ 5 per linear foot, and fencing for the other two sides is $ 8 per linear foot; the four corner posts are $ 25 apiece. Let x be the length of one of the sides perpendicular to the river. (a) Write a function C ( x ) that describes the cost of the project. (b) What is the domain of C ? (c) Use a graphing utility to graph C = C ( x ) . (d) Find the dimensions of the cheapest enclosure. Source: www.uncwil.edu/courses/math111hb/PandR/rational/rational.html
Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $ 5 per linear foot, and fencing for the other two sides is $ 8 per linear foot; the four corner posts are $ 25 apiece. Let x be the length of one of the sides perpendicular to the river. (a) Write a function C ( x ) that describes the cost of the project. (b) What is the domain of C ? (c) Use a graphing utility to graph C = C ( x ) . (d) Find the dimensions of the cheapest enclosure. Source: www.uncwil.edu/courses/math111hb/PandR/rational/rational.html
Solution Summary: The author explains that the function C ( x ) that describes the cost of the projects is given by the costs of one y.
Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is
per linear foot, and fencing for the other two sides is
per linear foot; the four corner posts are
apiece. Let
be the length of one of the sides perpendicular to the river.
(a) Write a function
that describes the cost of the project.
(b) What is the domain of
?
(c) Use a graphing utility to graph
.
(d) Find the dimensions of the cheapest enclosure.
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