Profit The revenue from sales of x units of a productis given by R(x) = 600x - 0.01x2, and the cost ofproducing and selling the product is C(x) = 77x +0.02x2 + 52,000. Producing and selling how many units will result in a profit?

Profit The revenue from sales of x units of a productis given by R(x) = 600x - 0.01x2, and the cost ofproducing and selling the product is C(x) = 77x +0.02x2 + 52,000. Producing and selling how many units will result in a profit?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.CR: Review Problem Set

Problem 50CR

See similar textbooks

Related questions

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

Q: Revenue The revenue from the sale of a productis given by R = 250x - 5x2 - x3. If the sale of5 units…

A: R=250x-5x2-x3 The sale of 5 units gives a total revenue of $1000. Put R=1000 in R=250x-5x2-x3, we…

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: This is problem of optimization and application of differential calculus.

Q: 3) A diesel generator burns fuel at the rate of G(x): producing r thousand kilowatt hours of…

A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…

Q: Use Separation of Variables to find the general solution. V1 - x²y = 3xy (Express numbers in exact…

A: Given : Differential equation 1-x2y' = 3xy To find : General solution of the given differential…

Q: G2 Salve the follow ing inqualitie 3. 24\X+3< \x-8 12x-1) メ-2 く1 メ+3

A: Absolute value properties: 1. x ≤ a ⇔ -a ≤ x ≤ a 2. x≥a ⇔ x ≤ -a and x ≥ a Given: 1. 32x - 1≥4 2. x…

Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.3x2 +…

A: Given that, Px=-0.3x2+1230x-120000

Q: Particular solution of y" - 5y' = x-2, when x = 0, y = 0, y = 2

Q: 2ydx = 3xdy; when x = 2,y = –1 %3D

A: Consider the given differential equation 2ydx=3xdy ; when x=2 , y=-1 Use separation of the variable…

Q: Advertising and Sales Weekly sales y (in hundredsof dollars) are related to weekly advertising…

A: Given y=weekly sales x=weekly advertising we need to find the amount of weekly advertising expense…

Q: Coefficient Linear in Two Variables 2. (x-3y-7)kdx – (2x – 4y-8)dy=0

Q: Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

Q: 1. у%3D х3 + 3x2 + 3х

A: Given(1) y= x3 +3x2+3x

Q: y'-y= x y = cqe* + Ax² + Bx · Ax Вх y = Ax + Bx+ Ах y = Ax² + E

A: The given the differential equation is; y'-y=x2

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

A: Given data: *The cost of producing x items for the company is C(x)=40x+300. *The revenue of the…

Q: x3 - 3x²y = C

A: Given function x3-3x2y=Cdifferentiate with respective xddx(x3-3x2y)=ddxC3x2-3(x2dydx+y(2x))=0…

Q: Using homogenous, solve y2+x2y = xyy

A: Given: y2+x2y = xyy'

Q: 4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares…

A: We can solve the given problem by using the second derivative test. Second derivative test : Let…

Q: The profit function for a certain commodity is P(x) = 190x − x2 − 1000. Find the level of…

Q: Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x)…

Q: II. Verification of a solution 6. Show that y = x² is a solution to x = = 2x xp

Q: ation 2(3x + 6) = 3(x - 10). The table shows her step Given 2(3X + 6) - 3(x - 10)

Q: Profit The weekly revenue for a product is givenby R(x) = 120x - 0.015x2, and the weekly costis C(x)…

Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units…

Q: Break-Even The daily total cost function for a product is C(x) = 2500x + x2 + 27,540 dollars and…

A: Consider the provided information, The daily total cost function for a product is Cx=2500x+x2+27540.…

Q: y = -x^3+6x^2+63x-100 Find and show work - Local maxima = ? Local minima = ? Inflection Points =

A: Given:y=-x3+6x2+63x-100y=x3-6x2-63x+100Local maxima d2ydx2<0Local minima d2ydx2>0Point of…

Q: 1. Long division Solution: - X-1 x3 - 3x2 + x- 1 M Remainder: X-2 AMOO Quotient: x3-2x2 - x2 notour…

Q: B-How do you Know if an equation is Homogenous or non- Homogenous? What is degree of equations?…

A: Solution: Homogeneous function: A function fx,y is said to be a homogeneous function if…

Q: 2. f(x) = x² – 4x+ 4 a. Find the y-intercept, the equation of the axis of symmetry, and X-coordinate…

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: ydx + (x³y² + x³)dy = 0 'у?

Q: V5+3 J5 - 13 V5-13 V5 + J3 If x = and y find the value of (x +y.

Q: . Maximizing Profit The monthly profit from producing and selling x units of a product is given by…

A: p(x)=-0.01x2+62x-12000

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

A: The general form of a quadratic function is as follows: ⇒f(x)=ax2+bx+c…

Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.01x2 +…

Q: Use Separation of Variables to find the general solution. V1-x*y : = 3xy (Express numbers in exact…

A: Given that :1-x2y'=3xy

Q: Elimination of Arbitrary Constants Full solution. x³ - 3x2y = C

Q: The price for a product is given by p=128,000 -0.2x², where x is the number of units sold, so the…

A: We will put Revenue=0 to find the value of x

Q: For a certain company, the cost for producing æ items is 50x + 300 and the revenue for selling |x…

A: Given Cost price (CP) =50x+300 Selling price (SP) = 90x-0.5x2 (a) Profit is given by P = SP-CP=…

Q: f(x) -2 -8 2.

Q: (b) A company that sells universal remotes has derived the profit function: P(x)=-x²+240x– 9500…

A: profit

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

Q: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

A: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items…

Q: Profit The revenue from sales of x units of a productis given by R(x) = 200x - 0.01x2, and the cost…

A: The revenue function is given by R(x)=200x-0.01x2 Differentiating R(x) with respect to x, the…

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

Q: Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) =…

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the…

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

A: Given the cost function is C(x)=3x+8 and the revenue function is R(x)=14x

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

Question

Profit The revenue from sales of x units of a product
is given by R(x) = 600x - 0.01x²
, and the cost of
producing and selling the product is C(x) = 77x +0.02x² + 52,000. Producing and selling how many units will result in a profit?

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Quadratic Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.