The flair Furniture Company produces inexpensive tables and chairs. The production process for each is similar in that both requires a certain number of hours of carpentry work and a certain number of labor hours in the painting and varnishing department. Each table takes 4 hours of carpentry and 2 hours in painting and varnishing shop. Each chair requires 3 hours in carpentry and 1 hour in painting and varnishing. During the current production period 240 hours of carpentry time and 100 hours in painting and varnishing time are available. Each table sold yields a profit of $7; each chair produced is sold for a $5 profit.

Design a Linear programming problem for the flair Furniture Company and find the combination of tables and chairs that the company must produce to maximize profits.