Furniture Scenario A furniture company produces sofas, tables, and chairs. The primary resource requirements for each sofa, table, and chair are shown below: Wood (lb) Upholstery (yd) Labor (hr) 12 6 Sofa 7 9 Table 5 7 5 Chair The company currently has 2250 pounds of wood, 1000 yards of upholstery, and 240 hours of labor available. The profit per sofa is $400, per table is $275, and per chair is $190. The company wants to decide how many sofas, how many tables, and how many chairs to produce to maximize profit. Let xs = the number of sofas to produce, XT = the number of tables to produce, and xc = the number of chairs to produce. [Source: adapted from Taylor (2004)] The objective function is: O Profit = 2250xS+ 1000xT + 240xC O Profit 400xS+ 275xT + 190xC O Profit 25xS+ 14xT+ 17xC Profit =865(xS + xT + xC)