Following data refers to the activities of a project, where, node $$1$$ refers to the start and node $$5$$ refers to the end of the project.

The critical path $$(CP)$$ in the network is

For a canteen, the actual demand for disposable cups was $$500$$ units in January and $$600$$ units in February. The forecast for the month of January was $$400$$ units. The forecast for the month of March considering smoothing coefficient as $$0.75$$ is_______________

A machine element is subjected to the following bi-axial state of stress: $$\,\,{\sigma _x} = 80MPa;\,\,{\sigma _y} = 20MPa;\,\,{\tau _{xy}} = 40MPa.$$ If the shear strength of the material is $$100 MPa,$$ the factor of safety as per Tresca’s maximum shear stress theory is

Which one of the following is the most conservative fatigue failure criterion?