Westminster Coffee Co. has a location that sells two main coffee blends. The Rainforest Blend is 60% Columbian coffee, with 20% each of Ethiopian and Indian coffees. The Wayfarer Blend is 45% Ethiopian, 30% Indian, and 25% Columbian. The coffee shop currently has 18 pounds of Columbian beans, 16 pounds of Ethiopian beans, and 10 pounds of Indian beans. Each pound of coffee can make 16 cups of coffee, and the coffee shop knows they need at least 440 cups for the day, but not more than 592 cups. Each cup of Rainforest Blend sells for $2.10, while each cup of Wayfarer Blend sells for $1.95. How many cups of each should they brew in order to maximize their profits? How many pounds of each coffee are left? Formulate a linear programming model and solve it graphically. Display your graph and calculate the maximum profit