At a production machine, parts arrive according to a Poisson process at the rate of $$0.35$$ parts per minute. Processing time for parts have exponential distribution with mean of $$2$$ minutes. What is the probability that a random part arrival finds that there are already $$8$$ parts in the system (in machine $$ + $$ in queue)?

In computing Wilson’s economic lot size for an item, by mistake the demand rate estimate used was $$40\% $$ higher than the tree demand rate. Due to this error in the lot size computation, the total cost of setups plus inventory holding per unit time, would rise above the true optimum by approximately

Identify the stress strain in the flange portion of a partially drawn cylindrical cup when deep drawing without a blank holder

In an orthogonal cutting experiment with a tool of rake angle $$7$$$$deg$$, the chip thickness was found to be $$2.5mm$$ when the uncut chip thickness was set to $$1mm,$$ find the shear angle $$\phi $$ and find the friction angle $$\beta $$ assuming that Merchants's formula holds good.