A farmer wants to fence off a multi-section rectangular pen as shown. 2. A farm owner wants to fence off a multi -section rectangular pen, as The fence must enclose 600 total square feet of area. The outer pieces shown. The outer pieces (thick lines in the figure) will cost $8/ft, and (thick lines in the figure) will cost $8/ft, and the center dividers (thin the center dividers (thin lines in the figure) will cost $4/ft. If the farmer lines in the figure) will cost $4/ft. What should the dimensions of the V y can spend a total of $1200 on the fencing, what should the dimensions pen be in order to minimize the total cost of the fencing? of the pen be in order to maximize the area enclosed by the pen? a) [2 pts] Find the objective function as a function of x and y. a) [2 pts] Find the objective function as a function of x and v. b) [2 pts] Find the constraint equation using x and y. Then rewrite the equation as y = (expression with x). b) [2 pts] Find the constraint equation using .x and y. Then rewrite the equation as y = (expression with.x). c) [3 pts] Rewrite the objective function as a function of a single variable. Show your work clearly. c) [3 pts] Rewrite the objective function as a function of a single variable, x. Show your work clearly. d) [8 pts] Using the second derivative test, find the dimensions that will minimize the cost of the pen. Show your work clearly. d) [8 pts] Using the second derivative test, find the dimensions that will maximize the area of the pen. Show your work clearly