5

2) A rock grouP - producing new CD The costin dcllars prduc CDis given by C(xy) = 21500 - 140x 352 _ 845, where x is Ihe nutber of mnan hours of work required andy ...

Question

2) A rock grouP - producing new CD The costin dcllars prduc CDis given by C(xy) = 21500 - 140x 352 _ 845, where x is Ihe nutber of mnan hours of work required andy [tnenumocr ohoun studio time required Find thc minimum cost 816,012 B) 515,792 516,612 D) $18,442The Profit fron the expenditure of x thousand dollars on advertieing le glven by TO) 35x = 4x2,Find the marginal profit when the expenditure Is * = 315 tF ousand dollarunli BJ 980 thousad dollarefunit C) 243 thousand dollarhunit D) -37 tho

2) A rock grouP - producing new CD The costin dcllars prduc CDis given by C(xy) = 21500 - 140x 352 _ 845, where x is Ihe nutber of mnan hours of work required andy [tnenumocr ohoun studio time required Find thc minimum cost 816,012 B) 515,792 516,612 D) $18,442 The Profit fron the expenditure of x thousand dollars on advertieing le glven by TO) 35x = 4x2,Find the marginal profit when the expenditure Is * = 315 tF ousand dollarunli BJ 980 thousad dollarefunit C) 243 thousand dollarhunit D) -37 thousand dollars /unit



Answers

Marginal cost The total weekly cost (in dollars) incurred by Lincoln Records in pressing $x$ compact discs is $$ \begin{array}{ll} C(x)=2000+2 x-0.0001 x^{2} & (0 \leq x \leq 6000) \\ \end{array} $$ a. What is the actual cost incurred in producing the 1001 st disc and the 2001 st disc? b. What is the marginal cost when $x=1000$ and $2000 ?$

You guys leads to problem 34. In this problem, we need to find the exact post and the approximate cost of producing 51st gator. The total cost of producing um X readers is given here is the cost function To find the exact cost. What we need to do is we need to find the total cost of producing 51 guitars and we need to find the total cost of producing 50 m. When we get these two amounts, say we get X and why as the total M. O. We need to subtract why the total cost of producing 50 m from the total cost of producing 51 m. And we will get them the cost of producing 51st gator. It's true that The total cost of producing 51 gator can be found by substituting eggs as 51 in discussed function equation. Let's do that. The cost will be then 1000 plus 100 multiplied by X, which is 51,- 0.25 multiplied way 51 is square. And we get $5,449.75 as the total cost of producing 51 caters. Then we need to find the total cost of producing executive 50 m. Again in the cost function equation here we need to substitute 54 x. Let's do that. Then 1000 plus 100 multiplied by 50 which is X -0.25 multiplied by 50 square. And this calculation gives us $5,375 Next weekend. Find what is the exact cost of producing 51st reader by subtracting The total cost of losing 50 m From the total cost of producing 51 m. and we are subtracting 5375 from 5449.75. When we do this obstruction, we get the exact cost of producing 51st leaders as $74.75. The next problem says us to calculate the approximate cost of producing the 51st guitar. What we need to do is we can calculate the cost of producing 51st electric heater By approximation. When we compute the marginal cost function at X is equal to 50. And we know that when we take the first derivative of the cost function, we get the marginal cost function, which we do notice. See primex and the cost function is given. We need to differentiate it with respect to X. Let's do this. This differentiation. 1000 is a constant. When we differentiated we get zero, then we have 100 X. When we differentiate 100 X. We get 100. Because 100 years are constant and we are differentiating only eggs. And when we differentiate X. With respect to X. We get one And one multiplied 100 gives us 100. Then we have this negative sign. It will remain here. And Then we are differentiating excess square because their .25 is a constant. It will come out and we will differentiate x square. When we differentiate Texas where we get 26. And when we multiplied 0.25 by two A six we get 0.5. And we get the marginal cost function as 100 miners 0.5 X. And at executing 50. The marginal cost function is 100 -0.5. multiplied, weigh 50 Which gives us 75. Therefore the approximate cost of perusing 51st guitar is $1.75. Therefore we have this exact value which is $74.75. And the approximate cost is dollar seven.

We're going to consider the following cost function um which is cmax equals six X. Squared. That's 14 plus 18. And then we also know that this is in thousands of dollars. We want to find the marginal cost That production that will actually cause five. So the marginal cost When we take the derivative so see prime of acts. This is going to be 12 ax plus 14. And then we want to evaluate it at five. So when we evaluate this at five we kept getting 74 And that's gonna be in thousands of $74,000 per unit. Then we want to estimate the cost of raising the production level from 5 to 5.25. So if you look at sea prime of 5.25 Because to 77 Or if we look at sea .5-5 for example, we end up getting this value here. So this is how we can analyze the problem.

Here. We're going to initially look at the cost function C. Fx. He goes to 25, That's 36.5 x a minus The .9 x squared A 0.1 execute. Does your .01 execute? So this is the function that we end up getting as a result And we can graph it in the window. But we ultimately want to know what's the cost of producing 50 units of goods. So it's going to see a 50 And it's $1,050. And then we want to know the additional cost of producing one More Unit of Good. So that's going to be uh Sea of 51. So it's going to cost $22.11 more. Um And then lastly, we wanted to know the production level at which the daily cost Will be 510. So it's gonna be y equals 5 10 And we see that intersects right here. So it's going to be x equals 10.

In this video we're going to be dealing with the concept of actual cost and marginal cost And for those of you that need a refresher are actual classes. Just the amount of money we pay to acquire an asset and we know that I've forgiven cfx which is our total cost function. The actual cost of producing the X object is just C of x minus E of x minus one. All right. We also know that our marginal cost is just the actual cost. We incur we produce one more unit of a good or service and I have forgiven our total cost function C of X, marginal cost of producing the X good or service is simply C prime of x minus one. So in this question we are given the total cost function C of X is equal to 2000 plus two X minus 0.1 X squared. You know that this represents the total weekly cost we incurred. We also know that X represents the number of compact discs we sold. So what they want to do in part a is simple enough. They just want to find the actual cost at the 1001st and the 2001st disk. And if we go back to our actual cost definition, we know that it's simply our actual cost is equal to c f x minus psi of x minus one. And we know that in this question they want us to find the actual cost at the following X values. So the first one is 1001 And the 2nd 1 is 2001. So Let's get started by evaluating this when X. is equal to 1001. Mhm. So we know that our actual cost. Yeah yes Is equal to c. 1001- C. of 1000. And again we're just looking at the definition up here. So when we plug in the values 1001 and 1000 into our function We should get 3901.8 -3900. We simplify this. You're left with 1.8. And since we know that CFX represents our actual cost in dollars that our final answer for this part is going to be $1.80. So our actual cost of producing view 1001st disk is $1.80. Now let's do our second part. We need to find X. Sorry we need to evaluate the actual cost when X. is equal to 2001. So you know our actual cost mhm Is going to be equal to c. 2001 minus steve of 2000. When we plug this in to our cfx. What we should get is approximately 5601.6 -50-600. When we simplify this, what we get is 1.6 And again since RC of Xs and dollars, this means that our final answer for this part is $1.60. And that wraps up our part eight for part B. What they want us to do is to find the marginal cost one X is equal to 1000 and when X is equal to 2000. So we need to do this in two steps. So we first need to find our marginal cost function. If I remember from my earlier definition, we know that our marginal class function is simply C. Prime of X. And for part two, what we need to do is that we need to evaluate the C prime of X when X is equal to 1000 And when X is equal to 2000. Yeah, if you're paying attention to the lesson in the textbook, you would know that our answers here are going to be the same ones we got in part A But since your teachers aren't going to be happy with you, just putting that down in your notebooks, we're going to go through it this way. So first we're going to find our derivative. Okay? We know that. We know from our some rule and our other derivative rules that are C prime of X is going to be equal to two zero two X. For those of you then need justification, we look appear and we start applying our some rule, we know that C F prime of X is going to be the derivative of this part that added to this part and then attractive from this part. We know that the derivative of 2000 is going to be zero. I know that the derivative of two X. Is going to be too. And then our derivative of 0.1 X squared is going to be 0.2 X. So that's how we got our C prime of X. Now we're going to evaluate it when X is equal to 1000. So when we do that, we're going to have c prime of 1000. It's going to be equal to 2 -0.0002 times 1000. We evaluate this, we should get 1.8. Now we're going to find it when X is equal to 2000. So we'll have c prime of 2000 Is equal to 2 -0.0002 times 2000. When we evaluate this we get 1.6. And just like in our part, a since we know that our cfx is going to be in dollars, We know that our marginal cost is over four. When X is equal to 1000 is going to be $1.80. And that when X is equal to 2000 are marginal cost is going to be $1.60. And there we have it


Similar Solved Questions

5 answers
In the following reaction how many liters of carbon dioxide, COz, measured at STP would be produced from the decomposition of 387 g of calcium carbonate , CaCO3? Caco;(s) Caols)+colg)Mumbcr
In the following reaction how many liters of carbon dioxide, COz, measured at STP would be produced from the decomposition of 387 g of calcium carbonate , CaCO3? Caco;(s) Caols)+colg) Mumbcr...
5 answers
3. The hybridization of the central atom in the ion IF4' is:sp' d Sp3 1 sp' & s
3. The hybridization of the central atom in the ion IF4' is: sp' d Sp3 1 sp' & s...
5 answers
Exercise 30.8toroidal golenoid has 570 tums Croes-sectionacn? and mean radius 4 10Pan #Calcualte the coils self-inductance9o AzdSubmitReque:LALAILPan &If the current decreases unifomly from 00 K to _in 3 00 ms calculate the self-induced emf in the coilAEpSubmitReauestAnseEPant cThe curent Is directed from termlnal of the coil terminalthe direciion of the Induced emf fromor fromFromFromSubmitRequestAnswer
Exercise 30.8 toroidal golenoid has 570 tums Croes-sectiona cn? and mean radius 4 10 Pan # Calcualte the coils self-inductance 9o Azd Submit Reque:LALAIL Pan & If the current decreases unifomly from 00 K to _ in 3 00 ms calculate the self-induced emf in the coil AEp Submit ReauestAnseE Pant c T...
5 answers
02Let v = 3ryi' _ 2y' ] +3vy = k" Find () V-v at (,12 3) () Vxv[46]
02 Let v = 3ryi' _ 2y' ] +3vy = k" Find () V-v at (,12 3) () Vxv [46]...
5 answers
For every pair (a,b) of real numbers, with a + 0, define the function Oab R - R given byOab(x) = ax+b.Let G = {0a,b a,b,eR, a +0}.a) Prove that (G,0) is a group; where 0 denotes the composition of functions (b) Prove that T = {01,b : beR} is a normal subgroup of G. Prove that GIT ~ R*_
For every pair (a,b) of real numbers, with a + 0, define the function Oab R - R given by Oab(x) = ax+b. Let G = {0a,b a,b,eR, a +0}. a) Prove that (G,0) is a group; where 0 denotes the composition of functions (b) Prove that T = {01,b : beR} is a normal subgroup of G. Prove that GIT ~ R*_...
5 answers
Paula Plunge dives from atop tall flagpole into swimming pool below: Her potential` relative to the surface f the pool: What Is her kinetic energy energy at the top is 9,500 when her potential energy is reduced to 1,500 J? (10 pts)
Paula Plunge dives from atop tall flagpole into swimming pool below: Her potential` relative to the surface f the pool: What Is her kinetic energy energy at the top is 9,500 when her potential energy is reduced to 1,500 J? (10 pts)...
5 answers
Far 2 0f 4(D) Find the probability that randomly chosen part has minor flaw; Round your answer to four decimal places.P(Minor flaw) =Fart ot $(c) Flnd the probability that Tandomix cnoscn Dan answcr iour dccimal places,flawa (majarMior Jond VourP(Major MawMinor IawPart 4 of _randomiy cros Jor nasmalor na RowinoAnaan(d) Flnd probability dccima NacetP(No major Mlav) =
Far 2 0f 4 (D) Find the probability that randomly chosen part has minor flaw; Round your answer to four decimal places. P(Minor flaw) = Fart ot $ (c) Flnd the probability that Tandomix cnoscn Dan answcr iour dccimal places, flawa (majar Mior Jond Vour P(Major Maw Minor Iaw Part 4 of _ randomiy cros ...
5 answers
(2 marks) TT 3. Once you have solved the system, evaluate your method. Was i the most approprizile strategy? Provide reasons I0 suppor your answer.
(2 marks) TT 3. Once you have solved the system, evaluate your method. Was i the most approprizile strategy? Provide reasons I0 suppor your answer....
1 answers
Solve each inequality, Graph the solution set and write the answer in interval notation. $$ 4 p-11 \leq 17 $$
Solve each inequality, Graph the solution set and write the answer in interval notation. $$ 4 p-11 \leq 17 $$...
5 answers
Queston 24 Not yet answeredIf |z2_1/=/z/2+1,then 2 lies onCircleMarked out of 2.000 b, Real axisFlag questionNone of the aboveImaginary axis
Queston 24 Not yet answered If |z2_1/=/z/2+1,then 2 lies on Circle Marked out of 2.00 0 b, Real axis Flag question None of the above Imaginary axis...
5 answers
Prior oma # meiosis; following only one of the four 1 1 V haploid haploid daughter haploid o daughter daughter cell cells 1 daughter cells develop haploid daughter cells develop can develop into an 1 1 cells develop into eB8s that develops iuto E that can participate in in fertilization an egg that can participate fentilization fertilization meiosk : [
Prior oma # meiosis; following only one of the four 1 1 V haploid haploid daughter haploid o daughter daughter cell cells 1 daughter cells develop haploid daughter cells develop can develop into an 1 1 cells develop into eB8s that develops iuto E that can participate in in fertilization an egg that ...
1 answers
Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable. $$\lim _{x \rightarrow \pi / 2}(\pi-2 x) \tan x$$
Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable. $$\lim _{x \rightarrow \pi / 2}(\pi-2 x) \tan x$$...
5 answers
Find each sum as described. See Example $7(b)$the sum of the first 120 positive integers
Find each sum as described. See Example $7(b)$ the sum of the first 120 positive integers...
5 answers
Suppose that the mean and standard deviation of the scores on astatistics eam are 86 and 6.57, respectively, and areapproximately normally distributed. Calculate the proportion ofscores above 84.
Suppose that the mean and standard deviation of the scores on a statistics eam are 86 and 6.57, respectively, and are approximately normally distributed. Calculate the proportion of scores above 84....
5 answers
(e) Calculate the Laplace transform of cosh(3t + 2) .
(e) Calculate the Laplace transform of cosh(3t + 2) ....
5 answers
The area to the right of 0 in a normal distribution is00.500 Oo Oo None of the above
The area to the right of 0 in a normal distribution is 00.5 0 0 Oo Oo None of the above...

-- 0.024590--