The true stress-true strain curve is given by $$\sigma = 1400\,{\varepsilon ^{0.33}},$$ where the stress $$\sigma $$ is in $$MPa.$$ The true stress at maximum load (in $$MPa$$) is

Consider the following statements:
In comparison to hot working, in cold working,
$$1.$$ Higher forces are required
$$2.$$ No heating is required
$$3.$$ Less ductility is required
$$4.$$ Better surface finish is obtained.

Which of the statements given above are correct?

Assertion (A) : Cold working of metals result in increase of strength and hardness.
Reason (R) : Cold working reduces the total number of dislocations per unit volume of the material.

A round billet made of brass is to be extruded (extrusion constant $$=250$$ $$MPa$$ ) at $${700^ \circ }C.$$ The billet diameter is $$100$$ $$mm$$ and the diameter of the extrusion is $$50$$ $$mm.$$ The extrusion force required (in $$MN$$) is