Question level, secondary
I am a student asking the question
I have no clue how to do this problem. Here is what the professor gave to us:
C=E(2L+2W) + I(PL)
Where P = # of partitions
E= cost of exterior of fence
I = cost of interior of fence
C = total cost of fence
This is the picture of how the fence is supposed to look.
We need to derive a formula and express the area in terms of W and have the fence at a maximum area
From the way you describe the problem I am going to assume that the total cost of the fence C is known, as well as P, E and I. What you don't know are the dimensions of the field, L and W.
When you are told to express "A in terms of W", what is expected is an expression for A contains only W and the known quantities C, P, E and I. You have A = LW and hence you need to eliminate L from this expression.
Solve the equation
for L and substitute the expression you get into
to get an expression for A that contains no L. I got
Finally find the value of W that maximizes A.Cheers,