2) Find the maximum revenue if the price of selling x hammers is p(x) = 2...
1) Find the maximum revenue if the price of selling x shoes is p(x) = 2 - 3x
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2 e-0.55 a. Find the marginal revenue when x = 5 units. b. Use the marginal revenue function to find the value of x that will yield the maximum revenue. C. Graph the revenue function.
14) Maximum revenue and profit. A company manufactures and sells x cameras per week weekly price-demand and cost equations are, respectively, (40 points) p=400-0.5x and C(x) =2,000 + 200x . The What price should the company charge for the cameras, and how many cameras should be produced to maximize the weekly revenue? What is the maximum revenue? b) a) What is the maximum weekly profit? How much should the company charge for the cameras and how many cameras should be...
h If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 157-1 10 a. Find an expression for the total revenue from the sale of thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. a. R(x) = b. The x-value that leads to the maximum revenu is c. The maximum revenue, in dollars, is...
1+1 5. [10 marks) Find all values of k such that f(x) = -r2 + 2kr +1" has domain (-0,0). 6. [10 marks] Sketch the graph of y = -2 -2 log: (2-2) and find its domain, range, -intercept and y-intercept. Show your transformations step by step. 7. (12 marks] (a) [8 marks) Find the equation of the tangent line to the graph of the function f(x) = 3.0" - 6x2 - 7 at = 2 (b) (4 marks) Find...
If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 154-x 10 a. Find an expression for the total revenue from the sale of x thousand candy bars. b. Find the value of x that leads to maximum revenue. c. Find the maximum revenue. a. R(x)= 154000x-100x b. The x-value that leads to the maximum revenue is 770 c. The maximum revenue, in dollars,...
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
The monthly revenue R achieved by selling x wristwatches is figured to be R(x) 85x - 0.2x2. The monthly cost C of selling x wristwatches is C(x) 32x+ 1700. A. How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? B. Profit is given as P(x)= R(x)-C(x). What is the profit function? C. How many wristwatches must the firm sell to maximize profit? What is the maximum profit? A. The firm must sell wristwatches to...
= 6x + 2y Find the maximum and minimum values (if they exist) of : P ubject to the constraints of: 4x + y 2 12 x + y s 14 x - 3y s6 x 20; y 20
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2065 - 2/3x dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit. (d) What price will maximize the profit