The cost, in dollars, of producing x coffee machines is given. (Round your answers to the nearest cent.) C(x) = 1,500 + 90x - 0.9x² (a) Find the exact cost of producing the 25th machine. $ X (b) Use marginal analysis to approximate the cost of producing the 25th machine. $ X

The cost, in dollars, of producing x coffee machines is given. (Round your answers to the nearest cent.) C(x) = 1,500 + 90x - 0.9x² (a) Find the exact cost of producing the 25th machine. $ X (b) Use marginal analysis to approximate the cost of producing the 25th machine. $ X

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.2: Rates Of Change For Other Functions

Problem 2SBE: SKILL BUILDING EXERCISES Marginal Profit: Your goal is to maximize profit. What value of marginal...

See similar textbooks

Related questions

Q: Use the graphs of f and g to evaluate the functions. (a) (b) 3 2 (f. g)(2) (gof)(2) y=f(x) 12 M 2-…

Q: Find the general form of the function that satisfies A(t) = dA dt = 3A.

Q: Solve the following problem and SHOW YOUR COMPLETE SOLUTIONS F

Q: Find the Taylor Series for f(x) = ln(3 + 4r) about x = 0.

A: find the Taylor series of function

Q: Is the function given below a power function? 4 y = If it is a power function, write it in the form…

Q: 5. Given r(s) = (arctan(s), s + √2s). (a) (b) Find the arc length from s = 0 to s = 1. Compute the…

Q: Calculate, using the corresponding rules, the first derivative of the following function: f(x)=…

A: Givenf(x) = x.e-x

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

Q: The figure shows part of a plane - the part lying in the first "octant" of three-dimensional space.…

Q: Use the ratio test to find the range of values of x such that convergent. xn n+1 n=0 is absolutely

A: given series

Q: Describe how the graph of y=x² can be transformed to the graph of the given equation. y = (x - 13)²…

A: 1). If ; the graph horizontally shifts in the right direction by units.2). If ; the graph…

Q: (g) y = 2x³(-x¹ +5) (h) y = (1 + x) ( 2³² ² (2²³32-2) x2

A: To find derivative of given functions

Q: A. Find the domain and range for each function. Write your answer in interval notation. 6. {(1,2).…

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

Q: Find the general solution of: x²= y2dy dx 3 X -y [-¹ (²²²) = mx +c] In X

A: Given Differential Equation

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: Given that :Region is bounded by curves and axis.To find :Volume of the solid that is formed by…

Q: For a certain drug, the rate of reaction in appropriate units is given by 7 3 R'(t)= + 1+1 √t+1…

Q: A manufacturer has been selling 1400 television sets a week at $390 each. A market survey indicates…

A: Let x be the number of TV sets sold per week and y be the price per TV set.From the given data,…

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x - 2) (x – 1)(x + 2) dy dx II y = x>2

Q: Examine the limits below and justify why they exist or not: lim f(x) = 4 and lim f(x) =…

Q: Problem 2: The following is a graph is of a degree 6 polynomial function G(x) with a leading…

A: The graph is given

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per day…

A: A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per day and…

Q: Evaluate the limit, if it exists. ting sint 11-cost

Q: The following graph of Netflix subscribers vs. cable pay-TV subscribers appeared on the Statista.com…

A: a) In 2012, number of Netflix subscribers in million = 23.41Point on linear function N(t) is (0,…

Q: Given a = (1,-5) and 7 = (7,2), find ||ā — v|| and ||ā|| – ||v||. - - Give EXACT answers. You do NOT…

Q: Without a calculator, sketch a possible graph of the function from question #1 (also shown below)…

A: The given equation of function is

Q: Consider the following function. f(x) = (x - 2)², x ≥ 2 Find the inverse function f-1. f-¹(x) =…

Q: Find the general solution dy x=y+x= =0. dx of: [y=x(c- Inx)]

Q: use implicit differentiation to find dy/dx cosy^2+x=e^y

A: We need to calculate using implicit differentiation for the equation:This can be evaluated as…

Q: Find the area of the region between the following curves by integrating with respect to y. If…

Q: ← f(a+h)-f(a) h a. Use the definition mtan lim h→0 b. Determine an equation of the tangent line at…

A: f(x)=x3, P(1,1)

Q: y co y = f(x) AH 8 16 24 32 8 0 co Evaluate each integral by interpreting it in terms of areas. X

Q: lim f(x)=-5, lim g(x)=3, and lim h(x)=0, find the following limits if they exist. If 3. Given x→a x…

A: Check if the limit of the functions exist or not.

Q: An object is moving along a line, with velocity function g (t), shown below. Consider the increasing…

A: An object is moving along a line, with velocity function g(t), shown below. Consider the increasing…

Q: x² + x + 1 Jo (x + 1)²(x + 2) dx

Q: x³-1 Evaluate the following limit if it exists: limx→1 is x-1 O 0 O 3 O -1 O dne

Q: Calculate: [" (s *If answering with a decimal, use 2 decimal places. Otherwise answer in terms of It…

Q: Consider the following function. f(x) = x¹/7 + 3 (a) Find the critical numbers of f. (Enter your…

A: Given: (a) To find the critical numbers of .(b) To find the open intervals on which the function…

Q: In Exercises 1–12, use the method of shells to find the volume of the solid obtained by revolving…

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

Q: What is the derivative of f(x) = 3ª + 5e* ? ○x3x-¹ +5ex 8ex 3* ln(3) + 5e* 3x +5ex

Q: lim x →∞ 3ex +3

A: Formula :

Q: 2. f (x) = x² +1, g(x) = 4x+1. Find the solution set: A. f(x) = 0 B. f(x) > 0 C. f(x) = g(x) D. f(x)…

Q: Calculate the period of this function: y = 5 sin(2x + 3)

Q: A manufacturer can produce 3780 cell phones when a dollars is spent on labor and y dollars is spent…

Q: Click on the graph to view a larger graph For the given angle x in the triangle given in the graph…

A: Formula for pythagorean theorem is given as follows Where h is the hypotaneous b is the base a is…

Q: (13) 13) lim x-0 3x - sin(kx) X " k # 0

A: Given Expression for the limit

Q: This doesnt make senser and the answer is wrong

Q: 1. f(x) -2x² + 2x - 3 A. Find the vertex and axis of symmetry. Determine if the graph is concave up…

Question

Q14

The cost, in dollars, of producing x coffee machines is given. (Round your answers to the nearest cent.)
C(x) = 1,500 + 90x - 0.9x²
(a) Find the exact cost of producing the 25th machine.
$
X
176 Submissions Us
(b) Use marginal analysis to approximate the cost of producing the 25th machine.
$
X

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: given information

VIEW

Step 2: Find the exact cost of producing the 25th machine

VIEW

Step 3: Use marginal analysis to approximate the cost of producing the 25th machine.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

OHaganBooks.com's cost of selling x books a week is C(x)=0.006x^2+2.2x+3,651 dollars. What is the marginal cost at a sales level of 400 books? (Do not round.)
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.004x3+0.05x2+0.4x. Currently, Pierce sells 80 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 85 lawn chairs were sold each day? c) What is the marginal revenue when 80 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(81), R(82), and R(83).
The marginal cost of producing the xth box of light bulbs is 13 − (x/30000), and the fixed cost is $20,000. Find the cost function C(x). HINT [See Example 5.]
A company produces motorcycles. The cost of producing x motorcycles per month is given by C(x)=250,000+15,000x−0.3x3. What is the marginal cost at a production level of 500 motorcycles per month? Give your answer as an integer.
The total cost of producing x electric guitars is given by c(x) = 1000+100x-.25x2 Find the exact cost of producing the 51st guitar Use marginal analysis to find the approximate cost of producing the 51stguitar
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.005x3+0.02x2+0.5x.Currently, Pierce sells 90 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 92 lawn chairs were sold each day? c) What is the marginal revenue when 90 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(91), R(92), and R(93).
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.005x^3+0.04x^2+0.7x. Currently, Pierce sells 50 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 52 lawn chairs were sold each day? c) What is the marginal revenue when 50 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(51), R(52), and R(53).
The total cost of manufacturing x units of Jichu figurines is given byC(x) = 100 x + 125000 + 1/2 x2 dollars. Using the concept of marginals, find: a. The production level will at which the average cost per unit manufactured is in the least? b. The marginal profit of 900 units production if they will be able to sell x = -2 p + 4200 units if the product is sold at p dollars.
Altmar Electronics manufactures radios and sells them for $50 each. If the costs incurred in the production and sale of the radios are $200,000 plus $10 for each radio produced and sold, answer the following: What is the associated cost function? What is the associated revenue function? What is the associated profit function? How many radios must they sell to break even? State the marginal cost, marginal revenue, and marginal profit functions. f. Explain what the marginal cost function tells us.
The cost, in dollars, of producing yards of a certain fabricis C(x) = 1200 + 12x -0.1 x2 +0.0005x3(a) Find the marginal cost function.(b) Find C'(200) and explain its meaning. What does itpredict?(c) Compare C'(200) with the cost of manufacturing the201st yard of fabric.
The marginal cost of producing the xth box of light bulbs is 12 − x 20000 , and the fixed cost is $20,000. Find the cost function C(x). HINT [See Example 5.] C(x) =
Suppose a firm manufactures MP3 players and sells them for $50 each. The costs incurred in the production and sale of the MP3 players are $200,000 plus $10 for each player produced and sold. a) Write the profit function for the production and sale of x players. b) What is the marginal profit for the MP3 players? c) What is the marginal cost for the MP3 players? d) Interpret the number you found in part c!