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Sagot :
a) The function C(x) for the cost of the materials for the pen in terms of x
is : c(x) = 24x+(28800/x)+20
b) the dimensions of the pasture that minimize cost is:
x = 24.62 and y = 69.28
c) minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
a) Perimeter of fence = 2x+y
∴ cost of fencing = 12(2x+y)
also cost of poses corner house = 4×5 = 20
∴ Total cost of pen = 24x+!2y+20
But area of the pen = 2400
xy = 2400
y = 2400/x
Putting 1 in total cost c(x)
= 24x+{(12×2400)/x}+20
c(x)= 24x+{28800/x}+20
b) we need to minimize c(x)
using the graphical calculator we obtain
That x = 34.61
x = 34.61 & y = 2400/34.61 = 69.28
c) Minimum value of c(x) = c(34×64) = boxed 1682.77
Minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
Learn more about Minnimum value here:
brainly.com/question/2437551
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