A landscape architect plans to enclose a 3200 square foot rectangular region in a botanical garden. She will use shrubs costing $30 per foot along three sides and fencing costing $11 per foot along the north side.
(a) cost function in terms of x:
(b) minimizing value of x:
(c) the cost of landscaping for this min value of x:
Calc question...?
3200 = x*y
cost = 11*x + 30*(x + 2*y)
y=3200/x
cost = 11x + 30(x+6400/x)
d cost/dx = 11 + 30 - 192000/x^2 = 0
x^2 = 192000/41
x = 68.43 to minimize cost
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment