Baltimore Furniture Inc. owns two factories, each of which produces three types of tables - the deluxe, medium and the standard. The company has a contract to supply tables to a newly built hotel in downtown Washington DC comprising of at least 12 deluxe tables, 8 medium tables and 24 standard tables. Each factory produces a certain number of tables during each hour it operates. Factory 1 produces 5 deluxe tables and 1 medium tables. Factory 2 produces 2 deluxe tables, 2 medium tables and 12 standard tables. It costs Baltimore Inc. $150 per hour to produce each table in factory 1 and it costs $120 per hour to produce each table from factory 2. The Company wants to determine the number of hours it needs to operate each factory so that it could meet up with its contract at the lowest cost. Hints: You are required to minimize cost assuming that factory 1 = X and factory 2 = Y; Specify the linear program and find the value of X and Y that minimizes cost as well as the cost at all corner solution ns. Hint: Problem is different from the one in test 2 but similar. The graph of the cost minimization problem is provided below. (untitled) X2 6 Constraints Isoprofit Line 2 X1