FORM IV | MATHEMATICS | LINEAR PROGRAMMING
A farmer 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, 30 pounds of nitrogen and 5 pounds of potash. Each cubic yard of food B contains 10 pounds of phosphoric acid, 30pounds 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 $30 per cubic yard and food B costs$35 per cubic yard, how many cubic yards of each food should the farmer blend to meet the minimumchemical requirements at a minimal cost? What is this cost?