The document provides information to determine the optimum economic thickness of insulation for a horizontal 1" steel pipe carrying saturated steam at a temperature of $0.0035/kg. The insulation has a thermal conductivity of 0.06W/mK and costs $200x per meter where x is the thickness in meters. The total pipe length is 250m and surroundings are 27°C. It also provides a second problem to design a condenser to condense 200kg/h of vapor at 180°C using cooling water at 25°C.