Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 4x, C(x) = 0.02x +0.4x + 1 What is the production level for the maximum profit? Vunits

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 4x, C(x) = 0.02x +0.4x + 1 What is the production level for the maximum profit? Vunits

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CR: Chapter Review

Problem 16E: Digital cameras A company that produces and sells digital cameras has determined that the total...

See similar textbooks

Related questions

Q: 2e* Evaluate: Jo 2ex-1 dx. A) B) 1 C) D) 1. E) The integral diverges. O A)

Q: Question Define R as the region that is bounded by the graph of the function f(x) = + 2, the x-axis,...

Q: Using the limit comparison test the appropriate bn that is used In(n) converges is: to make the seri...

Q: Cos (Jx) dx

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

Q: Determine the composite function fog and gof. For each composite function state the domain and range...

Q: Question A ball is launched vertically upward with a velocity of 192 ft/s, so its position function ...

Q: b) (a•b)x(cxã)

A: We have to check in part (b) scalar, vector or meaningless

Q: y considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)....

Q: Consider the linear programming problem: Мaximize P-х +1.2y Subject to 2x + y < 180 (constraint 1) x...

Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as h...

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x Given: x•2x = 360 So, x...

Q: 5. The following data give approximations to the integral M = sin x dx. Jo ()- () N (h) = 1.570796, ...

Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How f...

Q: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —...

Q: Q1. Solve the question A. Graph the curve B. Find the x-axis intersection points (Limits of integrat...

Q: An oice has hwo envelope shupping machines or ning hgtther thex can Shupfa batch of . separately it ...

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: Use Green's Theorem to calculate (4z? - 3yz)dr + (3zy + Vy? + 6)dy, where Cis the circle (r – 1)2 + ...

A: Greens theorem

Q: Given that f(x) = 7x + 4 and g(x) = 1 – x², calculate %3D - (a) f(9(0))= | (b) g(f(0))=

A: f(x) = 7x +4 g(x) = 1 -x2 f(g(0)) =? g(f(0)) = ? f(g(x)) = f(1-x2) = 7(1-x2) +4 = 7 -7x2 +4 = 11 -7...

Q: Find the derivative of the function. F(C) = (3t + 18)2/3 f "(t) =

Q: Find the equation of the tangent plane to z=e^y+x+x^3+5 at the point (5,0,136)

Q: * (5 – 2 In |In|3x||D x In |3x| Given: dx. What is an appropriate formula? du A B du © 2 fuau -2 fud...

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3)

A: Distance between two points are √(x1-x2)^2+(y1hy2)^2

Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: You can use disk method here to find the volume of revolution. ⊙ The volume of rotation of y =f(x) ...

Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

Q: paln 7hours व ग वपते and ditAtent pame cun mety he pea. in 12heurs. How lons do.cs it take both पकर्...

Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

Q: x'- 36 lim 16 x+6 (a) Vx+11-4 lim- (b) х -5 (c) lim- +2 2-x

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Caitlin leased a car for 4 years at a rate of 5.80% compounded monthly. It required her to make paym...

Q: Evaluate the integral using tabular integration by parts. 4 x° V2 x + 1 dx +C

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: Check that the point (−1,−1,1) lies on the given surface. Then, viewing the surface as a level surfa...

Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

Q: Consider the following sequence. If the sequence converges, determine its limit. If the series diver...

A: Given query is to find sequence converges or diverges.

Q: 2. f(x) = (8x³ – 7x)(7x¬ + 5x³) at x = -1

Q: Find the volume of the solid formed by rotating the region enclosed by y = e*" + 4, y = 0, ¤= 0, I =...

A: We have to find the volume of solid formed by rotating the region enclosed by curve About x-axis

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z) = In (2z2 – x² – 3y³ – 4) ...

A: we want to find the domain of given function

Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

Q: An observer is standing in a lighthouse 96 feet above the level of the water. The angle of depressio...

A: An observer standing at a height of 96ft on a light house The angle of depression of the buoy is 22...

Q: Consider the function f(x) = x+6 for the domain [0, 00). Español Find f'(x), where f is the inverse ...

Q: If f(x) = then the Taylor series for f(x) at a = 1 is: %3D 1+2x En-o(-1)"_2" B) o (x – 1)". C) E o(-...

Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: Given sequence,a) 2n2+2n+1n2+2n+2b) -1n2n+n2n+2n2c) 2n4+2n+1n2+2n+2

Q: The solution to the differential equation 2 - y = x cos(3x) is: Select one: x cos(3x) + cx? 3 O 3x s...

Q: Let , be a series with partial sums Sy. If a-fn), where f(x) Time ieft continuous, and decreasing fu...

Q: formula

Q: Create a derivative word problem that includes a real-life application of Derivatives, in this case:...

A: Application of Derivatives in Real Life- •To calculate the profit and loss in business using graphs....

Q: Identify the following as scalars, vectors or meaningless a) a (bxc) b) (a•5)x(cxd) c) (axb)•(exd) d...

A: Find your answer below

Q: 50 Consider the sum: Si=1275. i-1 50 Find the sum: i = ? i-6

Question

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars.
R(x) = 4x, C(x)= 0.02x +0.4x+ 1
What is the production level for the maximum profit?
units
8:13
->
esc
backspace
&
23
$4
@
7
8.
6.
3
4
2
t
e
r
W
tab
enter
k
f
a
in
V
C
shift

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
Digital cameras A company that produces and sells digital cameras has determined that the total weekly cost C of producing x digital cameras is given by the function C(x)=1.5x2150x+4850. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
The manufacturer of a weight training bench spends $120 to build each bench and sells them for $170. The manufacturer also has fixed costs each month of $150,000. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.