Question

I need some serious help on this question! SOMEBODY PLEASE HELP!!!!!!!! PLEASE!!!!!

A textile manufacturer has daily production costs of C=0.45x^2 - 110x + 10,000 where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost? What is the minimum cost?

Answer 1

Find dC/dx and put dC/dx=0 and find values of x
then find \[\frac{ d ^{2}C }{ dx ^{2} } at this point.\]

Answer 2

Okay, so I'm a bit of an idiot when it comes to math. So where do I start?

Answer 3

Sorry. Math is just not up my alley.

Answer 4

\[C=0.45x ^{2}-110x-10,000\]
\[\frac{ dC }{dx }=0.92x-110\]
\[\frac{ dC }{ dx }=0 gives 0.90x-110=0,x=\frac{ 110 }{0.9 }=\frac{ 1100 }{9 }=122\frac{ 2 }{ 9} =122 \]
\[\frac{ d ^{2}C }{dx ^{2} }=0.9\]
\[atx=122, \frac{ d ^{2}C }{dx ^{2} }>0 hence C is minimum.\]
\[Minimum cost C=0.45\left( 122 \right)^{2}-110*122+10,000\]
solve it.

Answer 5

correction in the beginning write +10,000

Answer 6

Okay. I think I got the answer now though it took me a while. Thank you Surjithayer. I appreciate the help!!!!!!