Math Assignment Due 03/08 at 9:00 am

Assignment 2

f', , f i Afier an aggressive marketing carnpaign in the local community, poe,s TV Sales & Repair Co.

discovered rhat rheir cost can now be modeled by the equation: C(n) : 25n2 +150n + 2l 500, lvhere n represents the number o1'small screen televisions produced in a particular month.

l ' Hclw many small screen televisions must be produced in a month in order to rninimize the -

company's average cost? Show all steps and justify your answer.2. What is that minirnum avemge cost?

Does rhe /r"FlI oF f (*) 3 /z ^

7 x

aFFza(

be lortriooos or) llc tolrruhJ [-/, il w/en u'sr'n2

a /ra7l,n, (a/tu/arl;r? l,ulr/c 4 srlor/ lnra7lah 4 !ou / /h" i'ipo/'rfrn(€ of os wcll as ?r"fh,aa/y.

(/ornrory 4 fiirtcnrtt on", /yhc^/t7//

3' The maximum or minimum value of a function on a closed interval [a, bjmay occur at an endpoint (x=a or x=b) or at an interior point (a<x<b)."

a) Give an example of a function f(x) on the interval [-1, 1] where themaximum value occurs at one endpoint and the minimum value occurs atthe other endpoint.

Justify your answer.

b) Give an example of a function g(x) on the interval [-1, 1] where at least one of the maximum or rninimum values does NOr occu. ut un endpoint.

Justify your answer and show what the derivative, g'(x), is equar to at thepoint where the maximum or minimum occurs