Afarmer can buy two types of plant food, mix A and mix B. Each cubicyard of mix A contains 20 pounds of phosphoric acid, 30 pounds ofnitrogen, and 5 pounds of potash. Each cubic yard of mix B contains10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 poundsof potash. The minimum monthly requirements are 460 pounds ofphosphoric acid, 960 pounds of nitrogen, and 220 pounds of potash.If mix A costs $30 per cubic yard and mix B costs $35 per cubicyard, how many cubic yards of each mix should the farmer blend tomeet the minimum monthly requirements at a minimal cost? What isthis cost? ( by using linear programming )
