Please provide steps and explanations

1. A farm owner wants to fence off a multi-section rectangular pen against his barn, as shown. No fencing will be used WWW/ against the barn. The pen must enclose 1000 total square feet of area. The two side pieces and the two center dividers (each of length y) will cost $5/ft, and the front piece (of y y y 1:; length x) will cost $8/ft. What should the dimensions of the pen be in order to minimize the total cost of the fencing? a) Find the objective function as a anction of x and y. b) Find the constraint equation. c) Rewrite the objective function as a function of a single variable. d)Find the dimensions that will minimize the cost of the pen