A manufacturer buys peas for vegetable pies from 2 cooperatives. The price per pound is $6 from cooperative, and $5.50 per pound from cooperative B. Develop an objective function that would minimize the total cost. Use X1 = number of pounds to buy from cooperative A and X2 = number of pounds to buy from cooperative B. The manufacturer needs at least 12,000 pounds of peas. Cooperative A can supply up to 8,000 pounds, and cooperative B can supply at least 6,000 pounds. Develop three separate constraints for these requirements.