Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes workers weeks to build miles of highway. How many workers would be needed to build miles of highway in weeks?

Ryan is deciding between attending western state university and eastern state university. he cannot attend both universities simultaneously. both are fine universities, but the reputation of western is slightly higher, as is the tuition. let mu subscript upper e and mu subscript upper w be ryan's marginal utilities from attending eastern and western state universities respectively and upper p subscript upper e and upper p subscript upper w be the prices of attending eastern and western state universities. using the rule of consumer optimum, ryan will decide to attend eastern state university, if mue/pe exceeds muw/pw attend eastern state university if mue/pe is less than muw/pw attend western state university, if pe/mue< pw/muw attend western state university, since it gives him more utility.