परिवहन (transportation) और असाइनमेंट (assignment) दोनों समस्याएं लीनियर प्रोग्रामिंग समस्याओं की किस श्रेणी के अंतर्गत आती हैं?

A PERT network has 9 independent activities on its critical path. If the standard deviation of each activity on the critical path is 3, what is the standard deviation of the critical path?

Which of the following statements correctly describe detection conditions for special cases in the Simplex Method? I. Unboundedness is indicated when all elements in a pivot column are ≤ 0. II. Degeneracy occurs when a tie in the minimum ratio test produces a basic variable with zero value. III. Alternate optimal solutions exist if a basic variable has Cj - Zj = 0 in the optimal tableau. IV. Infeasibility is indicated if an artificial variable remains in the optimal basis at a positive level. Choose the correct option: