A cell-phone company advertises a popular phone plan. The customer can have 1000 weekday...

A cell-phone company advertises a popular phone plan. The customer can have 1000 weekday minutes, 1000 weeknight minutes, and 1000 weekend minutes split up among their phones. A family with three phones signs up for the plan. The family members and their preferences for various cell-phone times are given in the following table, where larger numbers indicate a greater preference.

If Duane is the first divider and Doreen is the first chooser, find a proportional, envy-free division of the minutes among the family members.