In a counter flow heat exchanger, for the hot fluid the heat capacity $$= 2kJ/kg$$ $$K,$$ mass flow rate $$= 5 kg/s,$$ inlet temperature $$ = {150^ \circ }C$$, outlet temperature $$ = {100^ \circ }C$$. For the cold fluid, heat capacity $$= 4 kJ/kg$$ $$K,$$ mass flow rate $$= 10 kg/s,$$ inlet temperature=$$ = {20^ \circ }C$$. Neglecting heat transfer to the surroundings, the outlet temperature of the cold fluid in $$ = {^ \circ }C$$ is

Market demand for springs is $$8,00,000$$ per annum. A company purchases these springs in lots and sells them. The cost of making a purchase order is Rs.$$1,200.$$ The cost of storage of springs is Rs.$$120$$ per stored piece per annum. The economic order quantity is

A project consists of activities $$A$$ to $$M$$ shown in the net in the following figure with the duration of the activities marked in days.

The project can be completed

The sale of cycles in a shop in four consecutive months are given as $$70, 68, 82 95.$$ Exponentially smoothing average method with a smoothing factor of $$0.4$$ is used in forecasting. The expected number of sales in the next month is