Problema Solution
alex needs to build an enclosure to hold all her monkey friends. she needs 67,000 square feet with two sides and a front (the back is against water). the front fence will be electrified at a cost of $45 a linear foot while the sides are $41 a foot. what is her lowest cost?
Answer provided by our tutors
area = length * width
area is maximized for a square (all sides equal)
sqrt(67000) = 258.84
we are fencing sqrt(67000) along the front and 2*sqrt(67000) along both sides, giving a cost of:
45*sqrt(67000) + 2*41(67000) = 32873.13
the lowest cost is approximately $32,873