Problem 10 (20pts). A rectangular wildlife sanctuary is being planned, with one side along a straight river bank. It is supposed to have an area of 8 mis. How would you design the sanctuary so that as little fence as possible is needed to enclose the remaining three sides? (a) Is this problem asking you to find a rate of change, or to find a minimum, or to find a maximum? (b) Draw a picture of the situation. In your picture, label any known quantities, and introduce variables for any unknown quantities that matter. (c) Which of the variables you introduced is the problem asking you to find? (d) What equations hold between these variables? (e) Write down the function (with its domain) you want to maximize/minimize. (f) Find the dimensions of the rectangle that require as little fence as possible