8. Solve ONE of the following problems. DO NOT complete both. (a) You have 120 feet of fencing to construct a pen with 5 equal sized stalls. If the pen is rectangular and shaped like the one below, what are the dimensions of the pen of largest area and what is that area? (b) You have been asked to determine where a water works should be built along a river between Chesterville and Denton to minimize the total cost of the pipe to the towns. The pipe to Chesterville costs $3000 per mile and to Denton it costs $5000 per mile. How many miles down the river from Chesterville (x in the diagram) should the water works be built? Denton Chesterville pipe 5 3 pipe 10 River