TOPIC: LINEAR PROGRAMMING

A farming cooperative mixes two brands of cattle feed. Brand X costs $25 per bag and contains 2 units of nutritional elements A, 2 units of element B, and 2 units of element C. Brandy casts $20 per bag and contains 1 unit of nutritional element A, 9 units of element B, and 3 units of element C. Find the number of bags of each band that should be mixed to produce a mixture having a minimum cast per bag. The minimum requirements of nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively.