The total-cost, C(x), and total-revenue, R(x), functions for producing x items are shown below, where 0sxS1100. C(x) = 4400 + 300x and R(x) = + 1100x 2 a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum. a) P(x) =

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

A:

Q: The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and…

A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: A piece of cardboard measuring 11 inches by 13 inches is formed into an open-top box by cutting…

A: Given query is to find volume of the box and the value of x for which volume is maximum.

Q: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

A:

Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

A:

Q: Find the minimum value of f (x) = 7x² – 2x + 4 on the interval (0, 1].

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: Find the maximum profit where x that must be produced and sold. Assume that​ revenue, R(x), and​…

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R=…

A:

Q: The function F(x) = 2x^3 + 3x^2 has a relative minimum point at x =

A: We will solve the problem

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: A company with a monopoly is able to control the price of its product by limiting supply. If the…

A:

Q: The Fallwing family loves gummy bears and pickled strawberries. Their monthly GB/PS utility function…

A: Given, utility functionU(x,y)=13lnx+7lny and budget constraint is given by:6x+8y=480-------(1)

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +…

A:

Q: y = x3 + 1,

A: We have to find

Q: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: GivenRevenue functionR(x)=50x-0.1x2And Cost functionC(x)=5x+30NowProfit function is given by…

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: A piece of cardboard measuring 9 inches by 8 inches is formed into an open-top box by cutting…

A: Here I am attaching image so that you understand each and every step.

Q: company that produces and sells digital cameras has determined that the total weekly cost C of…

A: Given, C(x) = 1.5x2 – 150x + 4850  Where C is the total weekly cost of producing x digital cameras…

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

A:

Q: A piece of cardboard measuring 12 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: A goldsmith finds that the demand for gold is governed by p(x) = –x² + nx, where z is in (troy)…

A:

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function…

A:

Q: A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting…

A: The shape of the cardboard after cutting squares from each corner is as shown below

Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

A:

Q: A manufacturer determines that the profit P (in dollars) obtained by producing and selling x units…

A: Given:            Profit model:                              P(x,…

Q: f has relative maxima at x = and x = f has an absolute maximum at

A: Given that : Graph of the function f on [ 0, 28 ]:

Q: A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting…

A: To calculate the formula for the volume of the box in terms of x. Also to find the value of x that…

Q: Find the maximum profit and the number of units that must be produced and sold in order to achieve…

A: Given  R(x)=x2+110x+60C(x)=1.1x2+10x+80

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A:

Q: 36c A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work,…

A:

Q: Find the absolute maximum of h(x)=x2 −x−2 over [−3,6]. Enter only the y-coordinate of the maximum.

A: Determine the  derivative of the function  and find the critical points.

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…