MATH 202 In-class Worksheet #7 Name: 1. Find two numbers such that the sum of the first and twice the second is 100 and the product is maximurm. . A power station is on one side of a river that is 1/2 mile wide, and a factory is 6 miles downstream on the other side. Tt costs $6 per foot to run power lines overland and $8 per foot underwater. Find the most economical path for the transmission line from the power station to the factory. Evaluate the following limits. Use L'Hopital's Rule where necessary. . tanz =zx (2) :ll:]-[}l}l 3_[ e} T (b) lim yoe) 00 () lim (1x) , where m.n >0