river optimization problem
1500 meters of fencing divided pasture into two parts that runs along the river and you wish to find the max possible area. What are the steps?
- 1) A=xy
- 2) 1500 = 3x+y then set equal to y
- 3) plug y= -3x+1500 into A=x*y
- 4) find the derivative of A(x)
- 5) set A'(x) equal to zero and solve this is the length
- 6) find the second dervative
- 7) answer must be negative since its a max
- 8) find the width plug in x into
- original function y= 1500- 3x
- multiply both
- 8) find the width