A famer wants to customize his fertilizer for his current crop. He can buy plant food mix A and plant food mix B. Each cubic yard of food A contains 20 pounds of phosphoric acid, 20 pounds of nitrogen and 15 pounds 2f2otash. Each cubic yard of food B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen and 10 pounds of potash. He requires a minimum of 460 pounds of phosphoric acid, 960 pounds of nitrogen and 220 pounds of potash. If food A costs $ 23 per cubie yard and food B costs $35 per cubie yard, how many cubic yards of cach food should the famer blend to meet the minimum chemical requirements at a minimal cost? What is this cost? Plant Food Mix A Plant Food Mix B Phosphorie Acid 20 460 10 Nitrogen 20 30 960 Potash 15 10 220

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