Please help, I'm stuck and have tried everything.

Question

A Home owner wants to fence in his yard of 600 share feet. Three sides are to be constructed with chain link fence at a cost of $3.25 per linear feet. The fourth side is to be constructed with a wood stockade fence at a cost of $5.45 per linear foot. Write a complete model for the cost of building the fence in terms of one single input.

 

What makes it so difficult is we aren't given the shape of the fence, someone please help!

Answer 1

3.25(2x)+3.25y+5.45y = C = Cost of the fence

C= 6.5x + 8.7y

2x+2y=600

x+y =300

y = 300-x

C(x) = 6.5x+ 8.7(300-x)= 2610- 2.2x

C(x) = 2610-2.2x

assume the fence is in a rectangular shape