Question

The Furniture R Us Company manufactures tables and chairs as part of its line of furniture. The table below shows the resources required and the unit profits for each product. The two resources consumed in manufacturing the furniture are: wood (300 board feet in inventory), and labor (110 hours available). The owner wishes to determine how many tables and chairs should be made to maximize the two profits from furniture. The owner might decide to make as many chairs as possible, since chairs are more profitable than tables. Altogether, there is enough labor to produce exactly 11 chairs, and the owner's profit would be $88. But this plan would leave 80 board feet of wood unused. Would it be more profitable for the owner to make some tables and fewer chairs? Determine how many of each item should be produced and the optimal profit.