The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit. Profit π(q)= Quantity maximizing profit q=

The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit. Profit π(q)= Quantity maximizing profit q=

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: An airplane has an air speed of 227 miles per hour and a compass heading of 140°. A steady wind of…

A: Given: V = air plane speed vector with magnitude 227 miles per hour and heading of 140o . W= wind…

Q: Determine if the given value of x is a solution to the given equation. √2cos(x)−1= 0;=5π / 4

A: The given equation: 2cosx-1=0.We need to check whether x=5π4 is a solution to the given equation or…

Q: 10. Compute dy and Ay for y = x5 - 2x³ + 3x as x changes from 0 to 1

Q: Given cosa-tanßand a and are not in Quadrant II. Evaluate the following: 13) cos(-a) 14) sin(a +180)…

Q: If f(x) = then f'(x) = f'(3) = t³ dt

Q: Find the value of a so that for f(x) = x³ + ax² − 10x+6 and the interval 0 ≤ x ≤ 4 the location…

Q: 5 A cylindrical can with radius of 6 cm is filled with juice. How fast does the height of the juice…

A: To determine the rate at which the height of the juice in the can drops.

Q: Find the equation of circle with Centre (2, 2) and passes through the point (4,5) - Find the…

A: Topic:- geometry Note :- as per our guideline if more than one question uploaded than only first…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2x².…

A: For maximum value at a point x=a for a function f(x) is given by f'(a)=0 and f''(a)<0.

Q: 12. Find the volume of the solid formed by revolving the region bounded by the graphs of y=√√√x-2, y…

Q: If f(x) √² (2³. (t³+3+²+4)dt

Q: Assume that a = 4. Integrate f(x, y) = 5y(x² + y²)³ over D using polar coordinates. (Use symbolic…

A: Correct graph of the region is

Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: [sin(nt),…

Q: ) Let r(t) =(√5-t, ¹+2,t sin t). (1¹) C A) Find the domain of r(t). B) lim r(t)=? 1-0 c) fr(t)dt =?

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: Given function:- fx=x2+1+2x

Q: 14x + 5 Let f(x) tangent line to the graph by y = mx + b for m = b = = - 3e. Then the equation of…

Q: Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux…

A: Let the partial differential equation be AUxx + BUxy + CUyy + DUx + EUy + F = 0 If B2−4AC<0, then…

Q: what if it's going up by ten percent more ? not 10$

Q: Use the Laplace transform to solve the given initial-value problem. y" — y' = et cos t, y(0) = 0,…

Q: -4y"" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y"(0) = 2. Taking the Laplace transform and…

A: Using the laplace transform we can find F(s).

Q: State the quadrant(s) in which an angle in standard position with measure lies under the given…

Q: 1. Find the particular solution for the D.E. = 2 sec²x tanx given that dx² when x = 0, y = 0 and…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Is the graph of g(x) = 4x³ + 9x² + 7x + 3 concave up or down at the point with X-coordinate -2?…

A: g(x)=4x3+9x2+7x+3

Q: Use Newton's method to approximate a zero of the equation x³ + x + 4 = 0 as follows. Let #1 1, be…

A: need to use the Newton's method to approximate the zero of the equation.

Q: . If P(x) = 4x³-11x2 - 6x +9 is divided by x-3, what is the remainder?? b. 0 P(3) P(-3) d. a) and b)…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The given series is:∑n=1∞ 17n

Q: 3 If f(x) = 6x³ ln(5x), then ƒ'(x) = f''(x) = ƒ'''(x) f ƒ (4) (x) ƒ (5) (x) = = =

Q: 14. sin 23; exact value of: given: sec B = -3,<B<t 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: its missing step 2 or would it be 1/14sqrt7X + 1/sqrt(7)

Q: (a) Show that for x > 0, 0≤ 1 √x+x4 1 x² (b) Use part (a) to show that the integral this integral).…

Q: T -T/2 (-1) 4 2₁ 1 0 -1 -2₁ -3- 0 ㅠ 6 TT/2 1 TT

A: Given query is to find the equation of the graph.

Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose F(x, y) = xyi + (x − y)j and C is the triangle from (4,0) to (-4,0) to (0,4) to (4,0). (a)…

A: To find the line integral.

Q: Use Newton's method to approximate a zero of the equation 5x³ + 2x + 3 = 0 as follows. Let ₁ = 2 be…

A: Use Newton's method iteration formula: xn+1=xn-fxnf'xn The given equation is: 5x3+2x+3=0 and x1=-2…

Q: State the quadrant(s) in which an angle in standard. position with measure lies under the given…

Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure…

Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

Q: 8. Identify the definite integral that represents the area of the surface formed by revolving the…

Q: Find f (0) if f(w) 2- ew 1 + ew

A: Givenn function:- fw=2-ew1+ew

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(1) and F(7) 3 -1 2…

A: The area under the curve f(x) from x=a to x=b is given by

Q: Show that the point of intersection of two lines in the plane of afield F lies in the plane of F.

A: Point of intersection:- The junction of two lines is referred to as the point of intersection. The…

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2) =…

A: To find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4 for which f-2=12.…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x-² In(x),…

Q: The shaded region in quadrant I is enclosed by the circle x² + y² = 4 and the lines y = V √2 and x =…

Q: Find the linearization L(x) of the function g(x) = xƒ(x²) at x = 2 given the following information.…

Q: solve the differential equation y" + 2y +2 | +2 = sint

A: To solve the following differential equation.y''+2y+2=sin t

Q: You need to provide a clear and detailed solution for the following Questions: Question 1 (3 >…

Q: Find where the line y = 7 - x is closest to the point (0, 0) and then find where the line y = 7 x is…

Q: Use reduction formulas to evaluate the integral. S6 cot 4 (21) dt Click here to view page 1 of the…

Q: Use implicit differentiation to find dx x + cot(xy) = 7 dy dx

Question

The revenue from selling qq items is R(q)=150q−q2, and the total cost is C(q)=50+12q. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.

Profit π(q)=

Quantity maximizing profit q=

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 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6
Explain how to find the input variable in a word problem that uses a linear function.
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.
Explain how to interpret the initial value in a word problem that uses a linear function.
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.
Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.