If you formulate the linear programming model that satisfies the requirements and maximizes profits using the decision variables above, which of the following is the constraint that provides the flavor limitation of blend 2 produced in facility 3 in the 4th month?

Quality Ingredients Inc. specializes in producing gourmet spice blends, utilizing premium herbs, spices, and botanicals in three separate facilities. The monthly availability limits for these inputs vary each month, as indicated in Table 1. The company has the option to store purchased ingredients in inventory for future use. It is assumed that there are no initial inventories. Table 2 presents the input requirements and sales prices for each blend. Furthermore, there are maximum restrictions on the flavor, aroma, and color content for each blend, based on customer preferences (Table 3). The flavor, aroma, and color values for the input ingredients are provided in Table 4. Each facility has a dedicated production capacity for each blend, as shown in Table 5. Table 1 Table 2 Table 3 Table 4 Table 5 Decision Variables: Yi,I : Amount of ingredient 'I' in the inventory at the beginning of month 'i' If you formulate the linear programming model that satisfies the requirements and maximizes profits using the decision variables above, which of the following is the constraint that provides the flavor limitation of blend 2 produced in facility 3 in the 4 th month? Correct: 10 pts Incorrect: -5 pts a. 40(X4,3,2,1+X4,3,2,2+X4,3,2,3)35X4,3,2,1+80X4,3,2,2+70X4,3,2,3 b. 30X4,3,2,1+40X4,3,2,2+75X4,3,2,380(X4,3,2,1+X4,3,2,2+X4,3,2,3) c. 40(X4,3,2,1+X4,3,2,2+X4,3,2,3)30X4,3,2,1+40X4,3,2,2+75X4,3,2,3 d. 35X4,3,2,1+40X4,3,2,2+70X4,3,2,380(X4,3,2,1+X4,3,2,2+X4,3,2,3) e. 30X4,3,2,1+40X4,3,2,2+75X4,3,2,3=80(X4,3,2,1+X4,3,2,2+X4,3,2,3)