If you formulate the linear programming model that satisfies the requirements and minimize costs using the decision variables above, how to calculate the inventory for the 2nd projector in the 3rd month?

Fossoglor Company produces three types of projectors, in three separate facilities. The first type is designed for educational organisations, with a higher visual quality and price range. Demand for these products involves a significant seasonality due to the fact that planning for each semester is made at the beginning of each semester, three times a year. The second type is for business customers, that has more technical properties and functionality, and the highest prices. The third type of product is for end-users with lower price range and portable sizes. The demands for each product over the year is provided in Table 1. The company has just-in-time agreements for input material and slack capacities for production processes, except for assembly and budget. The assembly line works 485 hour a month in each facility. The monthly budget limit is 53 thousand dollars. The products are produced in three different facilities. Each facility is specialized in producing one type of projector, yet, can also produce other types with slightly higher costs and production times. Assembly times in minutes and unit production costs $ of each projector type for each facility is given in Table 2 and Table 3 respectively. At the end of each month, inventories held generate an opportunity cost as much as 20% of their unit production cost in the facility with same number (i.e., 120 for product 1, 180 for Product 2 and 80 for Product 3 ) that is excluded from budget limit. Table 2 Table 3 Decision variables: Xm,f,p : \# of projector ' p ' produced in facility ' f ' in month ' m '. Ym,p : \# of projector ' p ' in the inventory at the beginning of the month ' m '. If you formulate the linear programming model that satisfies the requirements and minimize costs using the decision variables above, how to calculate the inventory for the 2 nd projector in the 3rd month? Correct: 8 pts Incorrect: -5 pts a. Y4,2+130=(X3,1,2+X3,2,2+X3,3,2)+(Y3,2) b. Y3,2+(X3,1,2+X3,2,2+X3,3,2)130=(Y2,2) c. Y3,2+130=(X3,1,2+X3,2,2+X3,3,2)+(Y2,2) d. Y3,2(X4,1,3+X4,2,3+X4,3,3)485 e. Decisions variables can not be equated to a number