An electronic equipment manufacturer has decided to add a component sub-assembly operation that can produce $$80$$ units during a regular $$8$$-hour shift. This operation consists of three activities as below .

For line balancing the number of work stations required for the activities $$M, E$$ and $$T$$ would respectively be

For a product, the forecast and the actual sales for December $$2002$$ were $$25$$ and $$20$$ respectively. If the exponential smoothing constant $$(\alpha )$$ is taken as $$0.2,$$ then forecast sales for January $$2003$$ would be

In $$PERT$$ analysis a critical activity has

A company has an annual demand of $$1000$$ units, ordering cost of Rs.$$100$$/order and carrying cost of Rs.$$100$$/unit –year. If the stock-out costs are estimated to be nearly Rs.$$400$$ each time the company runs out-of-stock, the safety stock justified by the carrying cost will be