Consider the following linear program, which maximizes profit for two products-pen (P) and notebook (N). You are producing those two items, pen and notebook. Your manufacturing environment has three type of resources: labor, paint and quality inspection hours. Assume that, the linear programming model represents your profit maximization problem. Besides, you are given the Excel answer and sensitivity reports below. Answer the following questions by analyzing the reports. MAX Z= 100P-150N s.t. 2.4P + 3.2N S 600 Labor (hours) 1.2P+0.8N S 300 Paint (hours) 0.32P+0.8Ns 100 Quality inspection (hours) P, N20 Answer Report: Objective Cell (Max) Cell Name $B$9 Objective Profit: Original Value 0 Final Value 25892.85714 Name Variable Cells Cell $B$7 Pen: $B$8 Notebook Original Value 0 0 Final Value Integer 178.5714286 Contin 53.57142857 Contin Constraints Cell Name $F$11 Labor (hr/unit) LHS $F$12 Paint (hr/unit) LHS $F$13 Quality Inspection (hr/unit) LHS Cell Value Formula Status Slack 600.00 SF$11H$12 Not Binding 42.85714286 100.00 $F$13