Question

A rectangular field is to be enclosed on four sides with a fence. Fencing costs $5 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 870 ft2 that would be the cheapest to enclose. OA) 24.9 ft @ $5 by 34.9 ft @ $7 B) 41.3 ft @ $5 by 21.1 ft @ $7 21.1 ft @ $5 by 41.3 ft @ $7 OD) 34.9 ft @ $5 by 24.9 ft @ $7

Answer 1

7 per a Ly area of field A = sy - six = 870 ft² at 5 per/foot i Cast of fence - 4 = 79 + 91 9 4 = 5 + 7, 879 C = Sa = some * = Sopot e coroa for tuin of Cut - 0 35-600-0 X 3) 2 = 34.899.H at x= 34.899 - Slign af de is the in So at (x = 34.899) - Cast is min. from equ (i) - y = 871 899 = 24.92 ft]

Since - y is at 7 dollar / feet > 24.92 ft at 7 dollar ft k is at s dollar/ feet 34.89 ft at s dollar (ft. option - D