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 ______________

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 ______________

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 gas tungsten arc welding process, the material coated on pure tungsten electrode to enhance its current carrying capacity is