I am having trouble with part B, it is asking to use the POM system.

The Trim-Look Company makes several lines of skirts, dresses, and sport coats. Recently, a consultant suggested that the company reevaluate its South Islander line and allocate its resources to products that would maximize contribution to profits and to overhead. Each product requires the same polyester fabric and must pass through the cutting and sewing departments. The following data were collected for the study. The cutting department has 100 hours of capacity, sewing has 200 hours of capacity, and 60 yards of material are available. Each skirt contributes $5 to profits and overhead; each dress, \$17; and each sport coat, \$30. a. Let X1= number of skirts produced, X2= number of dresses produced x3= number of sport coats produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z=5x1+17x2+30x3 Constraints: Cutting 1x1+3x2+4x3 Sewing 1x1+3x2+5x3 Material 1x1+1x2+4x3 Nonnegativity x1,x20 b. A linear programming software shows the optimal solution as: The cutting department has 100 hours of capacity, sewing has 200 hours of capacity, and 60 yards of material are available. Each skirt contributes $5 to profits and overhead; each dress, $17; and each sport coat, $30. a. Let X1= number of skirts produced, X2= number of dresses produced, X3= number of sport coats produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z=5x1+17x2+30x3 Constraints: Cutting 1x1+3x2+4x35 Sewing 1x1+3x2+5x3200 Material 1X1+1x2+4x360 Nonnegativity x1,x20 b. A linear programming software shows the optimal solution as: x1=0x2=20 What is the optimal value for X3 ? x3= (Enter your response rounded to the nearest whole number.)