The figure shows the allowed amounts, in kilograms, of products A and B. Each kilogram of A earns $7$ pounds and each kilogram of B earns $9$ pounds. At which corner is the profit the greatest?

Fig. 1: A graph of a shaded five-sided region with corners at (0, 0), (8, 0), (6, 3), (2, 6) and (0, 5), each marked with a dot and its coordinates. The x axis is labelled kilograms of A and the y axis kilograms of B.