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.

The lives of two tools $$A$$ & $$B$$, governed by the equation $$V{T^{0.125}} = 2.5$$ and $$V{T^{0.25}} = 7$$ respectively in certain machining operation where $$V$$ is the cutting velocity in $$m/s$$ and $$T$$ is the tool life in sec. Find out the speed $$V$$ at which both the tools will have the same life.

Also calculate the corresponding tool life. If you have to machine at a cutting speed of $$1m/s$$, then which one of these tools will you choose in order to have less frequent tool changes?