a company produces two types of tables, the tisch and the mesa. it takes 2 hours to produce the parts for a tisch, 1 hour to assemble a tisch, and 2 hours to polish a tisch. it takes 4 hours to produce the parts for a mesa, 2.5 hours to assemble a mesa, and 1.5 hours to polish a mesa. per month, 7000 hours are available for producing parts, 4000 hours for assembling tables, and 5500 hours for polishing tables. the profit for selling one tisch is $90 and the profit for selling one mesa is $110. how many of each type of tables should be produced in order to maximize the total profit?
