Assignment 3 GE area B4 Assignment Use mathematical models to find optimal results, make predictions, draw conclusions, and check whether the results are reasonable 1) (10 pts) A rancher is building a horse pen on the corner of her property using 1000 ft of fencing. The pen must be in the trapezoidal shape as shown below. Determine the lengths of the sides x and y that maximize the area of the pen. 150 0 U 2) (10 pts) An island (1) is 3.5 mi from the nearest point (S) on a straight shoreline; that point (S) is 8 mi from the power station (P). A utility company wants to lay electrical cable underwater from the island to the shore at Q and then underground along the shore to the power station P. The cost to lay underwater cable is $2400/mi and to lay underground is $1200/mi. Find the small angle O shown in the figure below that minimizes the cost. The equation should be set up in terms of the angle 0 and then solved. Cable 3.5 mi L - 8 mi