A manufacturer produces two models of toy airplanes. It takes the manufacturer 2 minutes to assemble model A and 9 minutes to package it. It takes the manufacturer 3 minutes to assemble model B and 4 minutes to package it. In a given week, the total available time for assembling is 360 minutes, and the total available time for packaging is 720 minutes. Model A earns a profit of 10 for each unit sold and model B earns a profit of 8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?