A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric​ acid, 30 pounds of​ nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric​ acid, 30 pounds of​ nitrogen, and 10 pounds of potash. The minimum monthly requirements are 500 pounds of phosphoric​ acid, 990 pounds of​ nitrogen, and 200 pounds of potash. If mix A costs $25 per cubic yard and mix B costs $40 per cubic​ yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum​ cost? What is this​ cost?

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