The Pinewood Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture - wood, upholstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows:
Furniture Resource Requirements_________
Product Wood(lb) Upholstery (yd) Labor(hour)__
Sofa 7 12 9
Table 5 -- 7
Chair 4 7 5
Total available
resources 2250 1000 240
The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The warehouse has a total capacity of 500 pieces of furniture, however, a sofa takes up twice as much space as a table or chair. Each sofa earns $320 in profit, each table, $275, each chair, $190. The company wants to know how many pieces of each type of furniture to make per week in order to maximize profit.