OPMT 3197 Midterm Test Part A Summer 2022 Question 2 [16 marks] The Diaz coffee Company blends three types of coffee beans (Brazilian, Columbian, and Peruvian) into ground coffee to be sold at retail. Suppose that each kind of beans has a distinctive aroma and strength, and the company has a chief taster who can rate these features on a scale of 1 to 100. The features of the beans are tabulated as follows: Bean Brazilian Colombian Peruvian Aroma Rating Strength Rating Cost/Ib. Pounds Available 78 15 $0.50 1,500,000 60 20 $0.60 1,200,000 85 18 $0.70 2,000,000 The company would like to create blend that has an aroma rating of least 78 and strength rating of at least 16. Its supplies of the various beans are limited, however. The available quantities are specified above. All beans are delivered under a previously arranged purchased agreement. Diaz wants to make four million pounds of blend at the lowest possible cost. Give the algebraic formulation for this problem in the space provided below i.e., define the decision variables, state the objective function, and list all constraints. Excel solution is not required for this question.