Annual demand of a product is $$50,000$$ units and the ordering cost is Rs. $$7,000$$ per order. Considering the basic economic order quantity model, the economic order quantity is $$10,000$$ units. When the annual inventory cost is minimized, the annual inventory holding cost (in Rs.) is ___________

A project consists of $$7$$ activities. The network along with the time durations (in days) for various activities is shown in the figure.

The minimum time (in days) for completion of the project is _____________

Sales data of a product is given in the following table:

Regarding forecast for the month of June, which one of the following statements is TRUE?

A manufacturer has the following data regarding a product:
Fixed cost per month $$=$$ Rs. $$50,000$$
Variable cost per unit $$=$$ Rs. $$200$$
Selling price per unit $$=$$ Rs. $$300$$
Production capacity $$=$$ $$1500$$ units per month

If the production is carried out at $$80\% $$ of the rated capacity, then the monthly profit (in Rs.) is ______________