A landscape architect plans to enclose a 1300 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side.
(a) If x is the length of fencing used, write a formula for the total cost in terms of x only.
C(x) =
(b) Find the length of fence that will minimize the total cost.
x = feet
(c) Find the minimum total cost. Give your answer to the nearest penny
Need help on quick problem?
a) C(x)= 3*25*x+ 1*10*x
= 75x+10x
C(x)=75x+10x
b) Length is 1300 ft. There is four sides which equalls 4x.
4x=1300ft
x=1300ft/4
x=325 ft
c) C(x)= 75(325)+10(325)
= 10590125
cost is $10,590,125.00
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