In $$PERT$$ chart, the activity time distribution is

The demand for a two-wheeler was $$900$$ units and $$1030$$ units in April $$2015$$ and May $$2015,$$ respectively. The forecast for the month of April $$2015$$ was $$850$$ units. Considering a smoothing constant of $$0.6,$$ the forecast for the month of June $$2015$$ is

A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the maximum machining time available on each machine. The profit per unit on parts $${\rm I}$$ and $${\rm II}$$ are Rs. $$40$$ and Rs. $$100,$$ respectively. The maximum profit per week of the firm is Rs. _______________

A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $$25\,m{m^2}.$$. A torque $$T = 200$$ $$N$$-$$m$$ is acting on the joint. Neglecting friction due to clamping force, maximum shear stress in a bolt is ______ $$MPa.$$