In a calendar year, the demand forecast of motorbikes for the month of june is $$200.$$ The actual demand of motorbikes for the month of June and July are $$300$$ and $$350,$$ respectively. If single exponential smoothing method with smoothing constant $$0.7$$ is used, then the demand forecast for the month of August is ___________.

In a project, tasks $$A, B, C, D, E, F, G, H, I$$ and $$J$$ are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the Table.

The time required (in days) to complete the project along the critical path is ______________

The potential production alternatives for manufacturing a product along with their unit cost and monthly capacity are given in the Table.

The inventory at the end of july is $$100$$ units. If the demand for the month of August is $$620,$$ then the minimum total cost (in Rs.) to meet the demand is ______________

An electrical appliances showroom sells $$2,400$$ ceiling fans in one year ($$52$$ weeks). The holding cost is $$10\% $$ of the cost of the ceiling fan. The most of one ceiling fan is Rs. $$600$$. The cost incurred for placing an order is Rs. $$201.$$ There is a lead time of $$5$$ weeks. The economic order quantity $$(EOQ)$$ and the reorder level, respectively (rounded to the next higher integer) are