A rancher plans to make 4 identical and adjacent rectangular pens against a barn, each with an area of 100m2. What are the dimensions of each pen that minimize the amount of fence that must be used?a) Identify the objective function:b) Identify the constraint equation: yc) Solve the constraint for one variabled) Use your answer from (c) to get the objective equation in terms of ONE variable.e) What is the interval of interest for this variable?f) The objective function has a unique critical point in this case. Find it.g) Use the second derivative test to verify that an absolute minimum occurs at the candidate point found in (f).h) The minimum occurs when x= and y=1