Minimum average cost
the cost of producing x units of a product is modeled by
c = 500 + 300x - 300 ln x, x ≥ 1.
(a) find the average cost function ć.
(b) find the minimum average cost analytically. use a graphing utility to confirm your result.

a)

b)

Step-by-step explanation:

Given the cost function as C(x):

a) Find the average cost function,

if C is the cost of selling x units, The Average can be denoted by:

this is the average cost function

b) The minimum average cost:

To find the minimum average cost, we'll have to differentiate the average cost function . and equate it to zero. (like finding the stationary point of any function)

now just simplify:

we've found the derivative of C(x), now to find the minimum we'll equate this derivative to zero.

and now solve for x

at this value of x the average cost is minimum.

This is the minimum average cost!

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column