for every value of except .
and , so .
The minimum lies on the edge of the domein: min. .
You can find the maximum using differentiation. gives and after squaring ( is cancelled). You find: max. . The range becomes .
en .
The slope of line is equal to .
You should therefore solve and that gives .
euros.
euros.
You find the minimal cost using .
This gives and after squaring . You find .
So the best way is to first dig m along the street and then through the field straight at .