Mathematics, 07.10.2019 23:30 jeanbeansmith2p2ofty
Custom office makes a line of executive desks. it is estimated that the total cost for making x units of their senior executive model is represented by the following function, where c(x) is measured in dollars/year.
c(x) = 95x + 23
(a) find the average cost function c.
c(x) = 1
(b) find the marginal average cost function c '.
c '(x) =2
(c) what happens to c(x) when x is very large?
lim_(x-> infinity) c(x) = 3
Answers: 2
is a total cost function. Then the average cost function, denoted by 
, is 
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.
![\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](/tpl/images/0298/4637/98d3e.png)
Another question on Mathematics
Mathematics, 22.06.2019 00:20
Data for the height of a model rocket launch in the air over time are shown in the table. darryl predicted that the height of the rocket at 8 seconds would be about 93 meters. did darryl make a good prediction? yes, the data are best modeled by a quadratic function. the value of the function at 8 seconds is about 93 meters. yes, the data are best modeled by a linear function. the first differences are constant, so about 93 meters at 8 seconds is reasonable. no, the data are exponential. a better prediction is 150 meters. no, the data are best modeled by a cubic function. a better prediction is 100 meters.
Answers: 2
Mathematics, 22.06.2019 00:30
Nicole purchased a container of cashews that weighs 5 kilograms. zion purchased a container of cashews that weighs 4,900 grams. how many more grams of cashews did nicole purchase?
Answers: 1
Mathematics, 22.06.2019 00:30
50 points and will mark brainlest if you were constructing a triangular frame, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a triangle? would you be able to create a frame from these pieces of wood? yes or no? = explain your mathematical thinking:
Answers: 1
You know the right answer?
Custom office makes a line of executive desks. it is estimated that the total cost for making x unit...
Questions
Mathematics, 23.09.2021 14:00
Mathematics, 23.09.2021 14:00
English, 23.09.2021 14:00
Mathematics, 23.09.2021 14:00
Physics, 23.09.2021 14:00
Mathematics, 23.09.2021 14:00
Physics, 23.09.2021 14:00
Mathematics, 23.09.2021 14:00
Geography, 23.09.2021 14:00
Spanish, 23.09.2021 14:00
Physics, 23.09.2021 14:00
Advanced Placement (AP), 23.09.2021 14:00
