SOLUTION: How do I solve this and how do I come up with a $$ amount? Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The encl

Algebra ->  Rational-functions -> SOLUTION: How do I solve this and how do I come up with a $$ amount? Minimum Cost A rectangular area adjacent to a river is to be fenced in; no fence is needed on the river side. The encl      Log On


   

Question 969142: How do I solve this and how do I come up with a $$ amount?
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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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.
:
the 4 post add $100 to the cost
Let x be the length of one of the sides perpendicular to the river.
Let L = the length of side parallel to river
then
L*x = 1000
L = 1000%2Fx
:
(a) Write a function C(x) that describes the cost of the project.
C(x) = 8(2x) + 5(1000%2Fx) + 100
C(x) = 16x + 5000%2Fx + 100
(b) What is the domain of C? x > 0