Given that VK Hill kitchen needs to serve $87,045$ students with $7$ tonnes of cooked rice and$\mathrm{ 1}6,800$ liters of Sambar per day, what is the total time required for cooking Sambar and rice?

If the food has to be delivered by $12\mathrm{.}00$ noon at the farthest school from the Vasanthapura kitchen$\mathrm{ (}$which takes $4$ hours to reach$),$ what are the lower and upper specification limits for completion of the first batch of Sambar? If the cooking starts at $5\mathrm{.}00$ am$,$ calculate the corresponding Sigma Score$\mathrm{ (}$assume that the standard deviation for Sambar cooking is $10$ minutes.