For a given week, Rafael's Coffee House has available 864 ounces of A grade coffee and 1008 ounces of B grade coffee. These are blended into 1-pound packages as follows: an economy blend that contains 2 ounces of A grade coffee and 7 ounces of B grade coffee, and a superior blend that contains 6 ounces of A grade coffee and 3 ounces of B grade coffee. (The remainder of each blend is made of filler ingredients.) There is a $1 profit on each economy blend package sold and a $1 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?
