An engineer is designing a pipeline which is supposed to connect two points P and S. The engineer decides to do it in three sections. The first section runs from point P to point Q, and costs $46 per mile to lay, the second section runs from point Qto point F. and costs $56 per mile , the third runs from point R to point 5 and costs $40 per mile. Looking at the diagram below, you see that if you know the lengths marked 3-: and y, then you know the positions of Q and R Find the values of x and y which minimize the cost of the pipeline. Please show your answers to 4 decimal places. p