A factory has 5000kg of carrots and 6000kg of peas to pack in boxes weighing 1kg pro box. There are three types of boxes being packed, including one with only carrots, one with only peas, and one containing a mixture of both carrots and peas. One third of the boxes are the mixture of carrots and peas. From this mixture, at least half of the mixture must consist of carrots. At most, there can be equal quantities of carrots and peas. At least 3000 kg of peas and an additional 3000kg of carrots must be packaged.

The factory earns 70 cents for every package of carrots, 50 cents for packages of peas, and 60 cents for the mixture of the two. How many boxes of each need to be produced to maximize the factory's revenue?