A furniture company produces tables, sofas,& chairs at its plant. The plants uses three main resources to make furniture, wood upholstery &labor. The resources requirements for each piece of furniture &total resources available weekly are: Wood(lb) Upholstery(yd) Labor(hr) Sofa 7 12 6 Table 5 – 9 Chair 4 7 5 Total available resources 2,250 1,000 240 Furniture is produced on a weekly basis 7 stored in a warehouse until the end of the week when it is shipped out. The warehouse has total capacity of 650 pieces of furniture. Each sofa earns $400 in profit,table$275,& chair $190.The company wants to know how many pieces of each type of furniture to make per week to maximize profit.