We found that the marketing research department for the company that manufactures and sells memory chips for microcomputers established the following price-demand and revenue functions: p(x) = 90 - 4x R(x) = xp(x) = x(90-4x) where p(x) is the wholesale price in dollars at which x million chips can be sold, and R(x) is in millions of dollars. Both functions have domain 1 sxS18. Price-demand function Revenue function (A) Which of the following is the graph of the revenue function? OA. OB. Oc. 600- $ 10 15 20 400- -200- 200- -400- -600 -20 -15-10 -5 0 0 5 10 15 20 (B) Find the output that will produce the maximum revenue. million chips (Type an integer or a fraction. Simplify your answer.) What is the maximum revenue? $ million (Round to two decimal places.) (C) What is the wholesale price per chip that produces the maximum revenue? (Round to the nearest dollar.)

Q: Find out the production units x for which cost is minimum if cost function C is given by C-x'-120x…

A: The cost function is given as C = x3 -120 x2 + 4500 x   The minimum value of the cost function is…

Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A:

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: Find the critical points of the following function. f(x) = 5x2 + 3x - 1

A: Do the first derivative and then set it to zero gives us the desired value.

Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: A 440-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Let x = number of dollar increase in rent per day. Total room rented = (440 – x) rooms Rent per day…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: Given :  Price demand function :px=85-4x, It is the wholesale price in dollars at which x million…

Q: Can i get help step by step?

A: f(x) = 20 x3 - 3 x5 differentiate f(x) w.r.t  x f'(x)= 60 x2 - 15x4

Q: Suppose that r(x) = 9x and c(x) = x3 - 6x2 + 15x are the revenue and the cost functions, given in…

A: Consider the given revenue function R and cost function C: Here the objective is to find the…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: Given  R(x) = x(75-4x) Since the graph of revenue function passes through (0,0) as at x= 0 R(x) =0…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A:

Q: A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit…

A: (a) Consider the marginal function as p'x=-0.0003x2+0.02x+24. The total profit realizable from the…

Q: Find the critical point for the function f(x)=-x² +3x+1

A:

Q: The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led…

A: We have to find profit.

Q: A construction company has determined its price-demand function for a certain product is given by…

A: A construction company has determined its price-demand function for a certain product(i.e., price…

Q: If f(x)=1/5x^5 - 3/4x^4 - 4/3x^3 +60, then what is the set of c value for which f has a relative…

A:

Q: Show that if r(x) = 6x and c(x) = x3 - 6x2 + 15x are your rev-enue and cost functions, then the best…

A: Break even point occurs when profit is zero.We have given r(x) = 6x and c(x) = x3 - 6x2 + 15x are…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit…

A:

Q: What is the profit-maximising level of output for the following production function: TR = 260Q and…

A: This is a problem of optimization.

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: If the demand curve for a particular commodity is p=0.09x+51 and the total cost function…

A:

Q: The critical point for the function ƒ(x)= x² – 3x is

A:

Q: The planning department of Abstract Office Supplies has been asked to determine whether the company…

A: Revenue is the amount made by selling the desk.  Let the number of desks sold be x

Q: If, in a monopoly market, the demand for a product is p = 175 − 0.50 x and the revenue function is r…

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: A). Answer is option B.    B). 115/8 million chips   C). 826.5625 million

Q: In( V5x – 3 )

A:

Q: Suppose that your revenue function is given by R(x)=15x, your cost function is given by…

A: Profit=P(x)= revenue - cost

Q: A company that manufactures sport supplements calculates that its costs and demand functions can be…

A: Answer Number (11) A company that manufactures sport supplements calculates that its costs and…

Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: The demand and supply functions for your college newspaper are, q = −8,000p + 1,600 and q = 3,000p +…

A: Given

Q: find the critical points in the domains of the following functions. y = ( x^2 - 1 ) / (x^2 + 2x -…

A: It is given that the function is y=x2-1x2+2x-3. Obtain the domain of the function as follows:…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: NOTE: Refresh your page if you can't see any equations. . demand function is  and the revenue…

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $68 per edition…

A: The cost function is given by Cx=mx+b, where m is the marginal cost and ? is the fixed cost. Revenue…

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

A:

Q: If f(x)=1/5x^5-3/4x^4-4/3x^3+60, then what is the set of x values for which f has a relative…

A:

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Determine all the critical points for the function y = Vx² (2t- 1)

A: Given function is in two variables x and t For critical points we calculate Partial derivatives…

Q: A firm has identified that total profit P as a function of the number of units of two products…

A:

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: Find all critical points of the function f(x) = 12x5 − 20x3

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: topic - equation in one variable

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: We found that the marketing research department for the company that manutactures and sells memory…

A:

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: You need to maximise the revenue function. That is the differentiation of revenue function set to be…

Q: The demand and supply functions for your college newspaper are, q = -11,000p + 4,400 and q = 2,000p…

A: Given that the demand equation is q=−11,000p+4,400 And supply equation is given by q=2,000p+500.…