Solve the problem. The cost of manufacturing x electric woks in one day is given by C(x) = 2x3 -16x² + 4x. Find the average cost per electric wok and the interval where the average cost per electric wok is decreasing.

Solve the problem. The cost of manufacturing x electric woks in one day is given by C(x) = 2x3 -16x² + 4x. Find the average cost per electric wok and the interval where the average cost per electric wok is decreasing.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...

See similar textbooks

Related questions

Q: The daily cost C (in dollars) for a manufacturer to produce z electronic video components is given…

A: given cost function is c(x) = 1000 . ln((2x^2-700)^1/3) here we have to calculate the change of cost…

Q: Two sisters decide to set up a hotdog stand. The profit they make from the stand can be modeled by…

Q: suppose that the selling price P of an item to the quantity x is given by P=-1/4x +50. 0<or= x…

A: R(x) = Price x Quantity = P(x).x

Q: Find the number of units x that produces a maximum revenue R. R = 171x2 – 0.06x3 X = units

Q: The supply equation for the BWS Bluetooth wireless loudspeaker is p = 0.025x + 90 where x is the…

A: Given that the supply equation for the BWS Bluetooth wireless loudspeaker is p=0.025x+90. Find the…

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: The total cost function is given as And the revenue function is given as Then the profit function…

Q: The monthly profit from the sale of a product is given by P = 18x − 0.1x2 − 50 dollars. (a) What…

A: given: The monthly profit from the sale of a product is given by P = 18x -0.1x2−50 . to find: a. the…

Q: 2. As x approaches the value of x - 2 approaches 5.

A: Let x approaches y, when the value of x-2 approaches 5.

Q: Solve f(x) = 0-3e-1

A: Given that fx=0-3e-1 Using calculator, we get fx=0-3e-1=-3e=-1.103

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x - 0.2x2 . The…

A: Since you have posted a multiple subpart problem, we solve only the first three subparts for you .To…

Q: For a certain company the cost for producing x items is 40x + 300 and the revenue for selling x…

A: Given query is to find the value of x which gives profit of 300.

Q: The cost of producing pancake mix is C(x): = 0. 03x2 + 28x + 277. : Identify the parts of the cost…

A: We know that , Total cost of producing pancake = variable cost for production +fixed cost Given…

Q: A stuffed animal business has a total cost of production C=12x+68 and a revenue function R=36x,…

A: The break-even point is the point at which both the total cost function and the revenue function be…

Q: The profit for a product is given by Px)=-12x^(2)+1600x-14400 where x is the number of units…

Q: How would you solve for f(x)=x2+6 g(x)=2x+3 (gof)(-2)

A: Given, f(x)=x2+6 g(x)=2x+3 We have to find g∘f-2

Q: Profit occurs when revenue exceeds cost. If the revenue R in dollars from producing and selling x…

A: Given: Revenue, R = 26x and cost, C = 6x + 3660

Q: I. determine its domain and range with solution. x² – 81 1. f(x) = x + 9

Q: 15.What is the y-intercept of the function represented by the quadratic equation g (x) =- (x- 4) ?

A: For y intercept put x=0 in given equation.

Q: Kara's Custom Tees experienced fixed costs of $300 and variable costs of $5 a shirt. Write an…

A: Fixed cost is, Cf = $300 Variable cost is Cv = $5 To evaluate: The equation that determine the total…

Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x +0.75x², where C is…

A: To find out the production units required to yield minimum cost.

Q: A company's profit when it sells x thousand items is predicted to be P(x) = – 2x2 + 880x – 15000. a)…

A: function P(x)=-2x2+880x-15000 is given, Where in begining No items will be Sold.

Q: If Q(x) = x^3 − 25x + 100 is the cost per item of producing x-items. Is the cost per item…

Q: A jewelry maker incurs costs for a necklace according to C(X) = 37x + 1650. If the revenue function…

A: Given that C(X) = 37x + 1650. R(x) = 87x

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where x is the number of units sold Here,…

Q: the number produced. If the total revenue is given by R(x) = 450x x2 dollars, how many items, x,…

A: Given query is to find the maximum profit .

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

Q: A company's revenue from selling x units of an item is given as R = 1600x – 2a?. If sales are…

A: Consider the given revenue function, R=1600x-2x2 it is given that sales are increasing at the rate…

Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Introduction: When the product of two real quantities is positive, either both of them are positive…

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x2 dollars, where x is the…

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given: π∫-228-x2-2+x2dx =π∫-2264+x2-16x-4+x4+4x2dx =π∫-2264+x2-16x-4+x4+4x2dx…

Q: P(x)= -x+ 12x-36x+400, x23 is an approximation to the total profit (in thousands of dollars) from…

Q: A company's revenue from selling x units of an item is given as R = 1600x – A 2x2. If sales are…

A: The rate of increase of revenue will be the first derivative of the revenue function w.r.t time.

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: NOTE: Refresh your page if you can't see any equations. . the revenue is given by

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 99x2/3 − 6x…

Q: A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: A paper pulp company has discovered their cost and revenue functions for each day: C(x) = 2x? - 250x…

Q: Show that an increase in the number of variables k never decreases the R2.

A: An increase in the number of k never decrease the coefficient of regression

Q: ShipMaters finds that the numbers of orders it can fill per day when x people are employed at its…

Q: Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2) = 239, f(-3) = 254

A: f''x=60x3+24x2 take integration ∫ f''x=∫ 60x3+24x2dx f'x=∫60x3dx+∫ 24x2dx f'x=60x44+24x33+C…

Q: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is…

A: Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars per carton) is…

Q: If the revenue for a company selling widgets at price x is R(x)=-10x^2+500x. Find max revenue and…

A: The revenue for a company selling widgets at price x is R(x)=-10x^2+500x.

Q: A company's profit when it sells x thousand items is predicted to be…

Q: Revenue for a company is given by R=400x-(x^2)/(60) where output in 1 week is x Bluetooth…

Q: 3x+|2x-3|-2 , where x less than 1

Q: Producing x footballs costs C(x) = 2.5x +500. If each football sells for $22.50, determine the…

A: Let x be the number of quantity.The selling price of the footballs is P(x) = $22.50x.And the cost…

Q: A company's revenue from selling x units of an item is given as R = 1800x – 2x². If sales are…

Q: The yield in bushels from a grove of orange trees is given by Y = x(1200 - x), where x is the number…

Q: Revenue of a company is modeled by R(x)=x^2+15x-30 and Cost is modeled by C(x)=x^2+10x+55. How many…

A: Let's find.

Q: Find the range of values for x. 8. 15 x must be greater than and less than

A: The figure of the triangle is To evaluate : The range of values of x

Question

Solve the problem.
The cost of manufacturing x electric woks in one day is given by C(x) = 2x3 -16x² + 4x. Find the
average cost per electric wok and the interval where the average cost per electric wok is decreasing.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
Solve x2+2x80 graphically and (b) write the solution in interval notation.
If you perform your break-even analysis and there is more than one solution, explain how you would determine which x-values are profit and which are not.
A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles 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.
Solve and write any solution in interval notation: a. x2+3x+30 b. x2+3x+30