Answer:
(a) The average cost function is 
(b) The marginal average cost function is 
(c) The average cost approaches to 95 if the production level is very high.
Step-by-step explanation:
(a) Suppose
is a total cost function. Then the average cost function, denoted by
, is

We know that the total cost for making x units of their Senior Executive model is given by the function

The average cost function is

(b) The derivative
of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.
The marginal average cost function is

(c) The average cost approaches to 95 if the production level is very high.
![\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%28%5Cbar%7BC%7D%28x%29%29%3D%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%2895%2B%5Cfrac%7B230000%7D%7Bx%7D%29%5C%5C%5C%5C%5Clim%20_%7Bx%5Cto%20a%7D%5Cleft%5Bf%5Cleft%28x%5Cright%29%5Cpm%20g%5Cleft%28x%5Cright%29%5Cright%5D%3D%5Clim%20_%7Bx%5Cto%20a%7Df%5Cleft%28x%5Cright%29%5Cpm%20%5Clim%20_%7Bx%5Cto%20a%7Dg%5Cleft%28x%5Cright%29%5C%5C%5C%5C%3D%5Clim%20_%7Bx%5Cto%20%5Cinfty%20%5C%3A%7D%5Cleft%2895%5Cright%29%2B%5Clim%20_%7Bx%5Cto%20%5Cinfty%20%5C%3A%7D%5Cleft%28%5Cfrac%7B230000%7D%7Bx%7D%5Cright%29%5C%5C%5C%5C%5Clim%20_%7Bx%5Cto%20a%7Dc%3Dc%5C%5C%5Clim%20_%7Bx%5Cto%20%5Cinfty%20%5C%3A%7D%5Cleft%2895%5Cright%29%3D95%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3AInfinity%5C%3AProperty%3A%7D%5C%3A%5Clim%20_%7Bx%5Cto%20%5Cinfty%20%7D%5Cleft%28%5Cfrac%7Bc%7D%7Bx%5Ea%7D%5Cright%29%3D0%5C%5C%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%28%5Cfrac%7B230000%7D%7Bx%7D%20%29%3D0)

Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line = 
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line: 
Therefore the answer is D.
Answer:
a=43
Step-by-step explanation:
w+w+w= 45 which means 15+15+15=45
b+b+b=21 which means 7+7+7=21
s+s+s=12 which means 4+4+4=12
w+b×s= a which means 15+7×4= 43
(hope this helps)
Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b