A factory has the capacity to package 3,000 quintals of rice daily. It packs premium rice and select rice, to produce a quintal of premium rice the company invests 15 dollars and to produce a quintal of select rice it invests 10 dollars. The factory must package a quantity of select rice at least 300 quintals higher than double the premium rice, but it must not exceed 2,500 quintals per day. If premium rice sells for $27 and select rice sells for $15, calculate the quantity of each type of rice to be packaged to maximize profit and how much profit is that profit?

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