Five sorority sisters plan to attend a social function. Each requires hair styling and fitting for a gown. Assume that the times required are independent exponentially distributed random variables with the mean times for the fittings of 0.6, 1.2, 1.5, 0.8, and 1.1 hours, respectively, and mean times for the stylings of 0.8, 1.6, 1.0, 0.7, and 1.3 hours, respectively. Assume that the fittings are done before the stylings and that there is only a single hair stylist and a single seamstress available.

In what sequence should they be scheduled in order to minimize the total expected time required for fittings and stylings?