Problem 1 (15 pts) Formulate and solve the following blending problem. Columbian, Peruvian, and Nigerian coffee beans can be purchased for $1.20, $1.00, and $0.90 per kilogram respectively. From these sources a company makes a "regular" and a "premium blend of coffee, which sell for $1.30 and $1.60 per kilogram respectively. The regular blend contains at least 10% (by mass) Columbian beans, and at least 20% Peruvian beans. The premium blend contains at least 50% Columbian beans, and no more than 15% Nigerian beans. The max- imum market demand is for 200,000 kilograms of regular coffee and for 130,000 kilograms of premium coffee. Problem 1 (15 pts) Formulate and solve the following blending problem. Columbian, Peruvian, and Nigerian coffee beans can be purchased for $1.20, $1.00, and $0.90 per kilogram respectively. From these sources a company makes a "regular" and a "premium blend of coffee, which sell for $1.30 and $1.60 per kilogram respectively. The regular blend contains at least 10% (by mass) Columbian beans, and at least 20% Peruvian beans. The premium blend contains at least 50% Columbian beans, and no more than 15% Nigerian beans. The max- imum market demand is for 200,000 kilograms of regular coffee and for 130,000 kilograms of premium coffee