In a composite slab, the temperature at the interface (T_inter) between two materials is equal to the average of the temperatures at the two ends. Assuming steady one-dimensional heat conduction, which of the following statements is true about the respective thermal conductivities?

Consider the following data for an item.
Annual demand: $$2500$$ units per year Ordering cost: Rs.100 per order Inventory holding rate: $$25\% $$ of unit price. The optimum order quantity (in units) is:

Price quoted by a supplier

The optimum order quantity (in units) is

A stockist wishes to optimize the number of perishable items he needs to stock in any month in his store. The demand distribution for this perishable item is: The stockist pays Rs.$$70$$ for each item and he sells each at Rs.$$90.$$ if the stock is left unsold in any month, he can sell the item at Rs.$$50$$ each. There is no penalty for unfulfilled demand. To maximize the expected profit, the optimal stock level is:

Consider a $$PERT$$ network for a project involving six tasks ($$a$$ to $$f$$)

The expected completion time of the project is