Question
An rectangular area of 25 square meters, around an ancient historical site, is to be fenced to protect the artifacts. The sides with length x cost $ 34/ m and the other two sides cost $ 26 /m.
a. Write an expression for the cost as a function of x.
C(x) =
b. The value of x for minimum cost is x =
a. Write an expression for the cost as a function of x.
C(x) =
b. The value of x for minimum cost is x =
Answers
Damon
x w = 25 so w = 25/x
2 * 34* x + 2 * 26 * w = cost = c
c = 68 x + 52 w
c = 68 x + 52 (25/x)
c = 68 x + 1300/x
==========================
dc/dx = 0 for min = 68 - 1300/x^2
x^2 = 1300/68
x = 4.37
2 * 34* x + 2 * 26 * w = cost = c
c = 68 x + 52 w
c = 68 x + 52 (25/x)
c = 68 x + 1300/x
==========================
dc/dx = 0 for min = 68 - 1300/x^2
x^2 = 1300/68
x = 4.37