An oil company operates two Southern refineries. The Alabama facility produces 500 barrels of high-grade oil and 200 barrels of medium-grade oil per day. The Texas facility produces 600 barrels of high-grade and 400 barrels of medium-grade oil per day. By operating each facility for a certain number of days, the company produces exactly 15,000 barrels of high-grade and 8400 barrels of medium-grade oil. How many days must each facility operate to produce the desired result?
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