Find the point of diminishing returns for the profit function where x is the amount spent on marketing in million dollars. P(x) - 5x+ 30x-2.5 for o sxs 6 million dollars

Q: Find the point at which the line f(æ) = 5æ + 17 intersects the line g(x) 3x + 9

A: Given

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing…

A: Differentiate Q(x) w.r.t x to find the derivative for the function Q(x). The slope for function at…

Q: The function C(x)=10x+5,000 represents the cost to produce x number of items. How many items should…

A: SOLUTION-

Q: For f(x)=x^3-ax^2-×+8, find the x-intercepts

A:

Q: f(x)=-x^2+36x+520 where x is the number of handbags that Sara sells  What is the maximum revenue

A:

Q: Find the profit function in terms of x p=250-x/50 C(x)=20,000+40x

A:

Q: The concentration of a certain drug/medicine in a patient's blood (in parts per million) is given by…

A: Given that: C(x)=-x4+12x3-58x2+132x

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Consider the provided information, the total cost that produces x items is defined as,

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x)= 80x- 3x2 1sxs20…

A: Given Rx Revenue function = 80x-3x2 →1Cx Cost function = 130+16x →2

Q: Graph the function. -3x for x<0 r (x) = %3D 3/x for x20

A: here we have to plot the graph of the given function r(x).

Q: The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should…

A:

Q: the revenue function is given by R(x)= -x3+12x2-10x+10 where x is the number of units sold, what's…

A: Differentiate R(x) with respect to x.

Q: Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = - 1.2x2 +…

A: The revenue R, in dollars, from selling x cell phones, in hundreds, is Rx=-1.2x2+220x. The cost C,…

Q: Find the maximum revenue for the revenue function  R(x) = 373x − 0.9x2.  (Round your answer to the…

A: Maximum revenue will be 38647.72 $ Explanation is given below

Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The…

A: This is a basic calculus problem

Q: f(x) x + 14x + 46

A:

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x…

A: The weekly revenue from the production and sale of x units of grain is given by- R(x)=237x-x2 The…

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 45x -0.025x2 - 5000…

A: The profit function on sale of x infant car is P(x)=45x-0.025x2-5000.

Q: Describe the long run behavior of f(r) = – 5r° + 2r - 3r2 + 3

A:

Q: The cost and revenue functions for producing and selling x units of a toaster oven are C(x) = 40x +…

A: Given, x units of toaster oven are produced and sold. the cost function is C(x)=40x+350,000 Revenue…

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x? 1sxs…

A:

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: A supply company charges for 50-gallon tanks using the demand function p(x) = 40 – 4.8x. What is the…

A: In any business revenue is the total amount received by selling a given number of items at a given…

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: The function P(x) = - 1.75a? + 1250x – 9000 gives %3D - the profit when x units of a certain product…

A:

Q: Find the profit function if cost and revenue are given by C(x)= 124 +2.1x and R(x) = 7x-0.08x2.…

A: The cost function C(x)=124+2.1x and revenue R(x)=7x-0.08x2

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A:

Q: d²y/dx² of the function y=(5x² – 3)(7x³ + x)

A: The given function is: y=(5x2-3)(7x3+x)=5x2(7x3+x)-3(7x3+x)=35x5-16x3-3x To use the product rule for…

Q: consider the equation f(x) = 2x2 - x Find the net change between x = 3 and x = 6

A: Given equation:

Q: Suppose a ceiling fan manufacturer has the total cost function C(x)=50x+1280C(x)=50x+1280 and the…

A:

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

A:

Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

A:

Q: Find the profit function if cost and revenue are given by C(x) = 162 + 6.3x and R(x) = 3x - 0.01x.…

A: Given, C(x)=162+6.3x R(x)=3x-0.01x2

Q: Differentiate the function. y= 1/(3x+13)^

A: The given function is  y = 13x+132

Q: A monthly cell phone charge is $45. Each long-distance minute used costs $0.30. The total monthly…

A:

Q: C(x) = 38x + 6600  and the total revenue function  R(x) = 70x.What is the profit on 2400 units?

A:

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

Q: P(x)=80x-0.3x^2-280 evaluate the marginal profit P'(200)=?

A: We have to find

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: identify the end behavior for the function y = x^3 - 3x^2 - 4x +12

A:

Q: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

A: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

Q: The revenue R received by a company selling x td phones per week is given by the function…

A:

Q: Use the revenue and cost functions below, to answer parts (A), (B). and (C). R(x) = 75x - 3x2 1sxs20…

A: Given:Revenue functiom=Rx=75x-3x2        , 1≤x≤20Cost function=Cx=125+15x                 , 1≤x≤20To…

Q: The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the…

A:

Q: The profit from the production and sale of ipod players is given by the function…

A:

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

A:

Q: The buyers club rewards for a department store card are represented through the function C(r)=4r+12,…

A:

Q: Find the point at which the line f(x)=−5x−10 intersects the line g(x)=−4x−8.

A: We need to find a point of intersection of both the given lines.