The market for coffee is characterized by
, where QC
is the quantity of coffee in hundreds of pounds, PC
is the price per hundred pounds of coffee, and PT
is the price per hundred pounds of tea. The market for tea is characterized by
, where QT
is the quantity of tea in hundreds of pounds. Suppose a new medical study touts the benefits of drinking coffee, leading to an increase of 30 pounds of coffee at every price. The new equilibrium price of tea is ____.