Problem Set C (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2]. (2) A retailer determines that the cost of ordering and storing units of a product can be modelled by...

Extracted text: Problem Set C (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2]. (2) A retailer determines that the cost of ordering and storing units of a product can be modelled by ECON1003 Mathematics for the Social Sciences 1 – Course Information. Academic Year 2021/2022, Semester 1 20000 by C(x)=3x+ 0<><200. find="" the="" order="" size="" that="" will="" minimise="" ordering="" and="" storage="" cost.="" (3)="" the="" demand="" curve="" of="" a="" firm="" is="" p="1200–21q" and="" its="" total="" cost="" is="" c(q)="2q" –="" 66q²="" +600q+1000="" where="" q="" is="" the="" output="" of="" the="" firm="" (in="" thousands).="" %3d="" derive="" an="" expression="" r(q),="" for="" the="" firm'="" s="" revenue="" function.="" (ii)="" derive="" an="" expression="" ii(g)="" for="" the="" firm'="" s="" profit="">


Extracted text: 20000 by C(x)%3 Зx + 0<><200. find="" the="" order="" size="" that="" will="" minimise="" ordering="" and="" storage="" cost.="" (3)="" the="" demand="" curve="" of="" a="" firm="" is="" p="1200–21g" and="" its="" total="" cost="" is="" c(q)="2g°" –="" 66q²="" -="" +="" 600q+1000="" where="" q="" is="" the="" output="" of="" the="" firm="" (in="" thousands).="" (i)="" derive="" an="" expression="" r(g),="" for="" the="" firm'="" s="" revenue="" function.="" (ii)="" derive="" an="" expression="" ii(q)="" for="" the="" firm'="" s="" profit="" function.="" (iii)="" is="" the="" rate="" of="" change="" of="" profit="" increasing="" or="" decreasing="" when="" the="" output="" level="" of="" the="" firm="" is="" 10,000="" units?="" (iv)="" determine="" the="" level="" of="" output="" at="" which="" profit="" is="">