1) Baltimore Furniture Inc. owns two factories, each of whichproduces three types of tables – the deluxe, medium and thestandard. The company has a contract to supply tables to a newlybuilt hotel in downtown Washington DC comprising of at least 12deluxe tables, 8 medium tables and 24 standard tables. Each factoryproduces a certain number of tables during each hour it operates.Factory 1 produces 6 deluxe tables and 2 medium tables. Factory 2produces 2 deluxe tables, 2 medium tables and 12 standard tables.It costs Baltimore Inc. $150 per hour to produce each table infactory 1 and it costs $120 per hour to produce each table fromfactory 2. The Company wants to determine the number of hours itneeds to operate each factory so that it could meet up with itscontract at the lowest cost. Hints: You are required to minimizecost assuming that factory 1 = X and factory 2 = Y.
a. Formulate a linear programming model for this problem. (15points)
b. Represent this problem on a graph using the attached graphpaper. Show the feasible region. (10 points)
c. Solve this model by using graphical analysis showing theoptimal solution and the rest of the corner points as well as thecosts.
