Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows:

A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea, and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea.

If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?