Problema Solution
A rectangular area adjacent to a river is fenced in; no fence is needed on the river side. The enclosed area is 2000 square feet. Fencing for the side parallel to the river is $10 per foot, and fencing for the other two sides is $2 per foot. The four corner posts are $35 each. Let x be the length of one of the sides perpendicular to the river. Write a function C(x) that described the cost of the project?
Answer provided by our tutors
*A rectangular area adjacent to a river is fenced in; no fence is needed on the river side. The enclosed area is 2000 square feet. Let x be the length of one of the sides perpendicular to the river.
Then 2000/x is the length of the side parallel to the river.
*Fencing for the side parallel to the river is $10 per foot
The cost is 10(2000/x) or 20000/x.
*and fencing for the other two sides is $2 per foot.
The cost is 2(2x) = 4x.
*The four corner posts are $35 each.
The cost is (4)(35) = 140.
*Write a function C(x) that described the cost of the project?
Then adding up, we get C(x) = 20000/x + 4x + 140.