Zenith, a small metal furniture firm, produces three types of office chairs from steel and aluminum. The three types of chairs are Baron, Secretary, and Executive. Let X1, X2, and X3 respectively be the optimal number of Baron, Secretary, and Executive chairs produced daily (the production plan). Profit for each Baron chair is $10.0, for each Secretary chair, it is $8.0, and for each Executive chair, it is $7.0. Each chair must pass through the forging and assembly departments. The manager produced the following linear programming formulation for the problem to determine the optimal solution. Input the model in a software (QM for Windows) you downloaded and solve it. Then, using your computer output, answer the questions below. Maximize (profit,$) Z = 48X1 + 45X2 + 40X3 subject to; X1 + X2 + X3 100 (market demand) (Constraint 1) 5X1 + 4X2 + 4X3 400 (steel, lbs) (Constraint 2) 2X1 + 6X2 + 2X3 920 (aluminum, lbs) (Constraint 3) X1 + 8X2 + 2X3 720 (forging, hrs) (Constraint 4) 2X1 + 4X2 + 2X3 560 (assembly, hrs) (Constraint 5) X1,X2,X3 0 Input the linear programming formulation above in QM for Windows software you downloaded