In Problems 63-66, graph each function. Be sure to label any intercepts. [Hint: Notice that each function is half a hyperbola.] 63. f(x) = V16 + 4x? 64. f(x) = - V9 + 9x² 65. f(x) = -V– 25 + x² 66. f(x) = V-1 + x %3D

Q: What is the shadow price in the following constrained optimization problem? (Round answer to two…

A: Given : Max      y = 4X1X2 + X12  .          s. t.        2x1 + x2 = 100

Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Given:   C(x) = 32,000+60x and R(x) = 130x-0.001x^2

Q: In Problems 15–17, determine whether the given quadratic function has a maximum value or a minimum…

A: 15) Given fx=3x2-6x+4 Find the Critical points: Differentiate fx=3x2-6x+4 with respect to x.…

Q: In Problems 31-34, a function and its graph are given. In each problem, find the domain. Vx - 1 x +…

A: We need to find the domain of the given functions. 1. f(x)=x-1x-2 2. f(x)=x+1x+3

Q: Solve the problem. 23) Find a company's total-cost function if its marginal cost function is C'(x) =…

A:

Q: In Problems 13–-24, determine whether the graph is that of a function by using the vertical-line…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

A:

Q: Suppose that the Best Custom Calendar Company models the coming year's revenuse and cost functions,…

A: R(x) =-x3+9x2 and C(x)=2x3-12x2+30x

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: Suppose a calculator manufacturer has the total cost function c(x)=38x+6200 and the total revenue…

A: Explanation of the answer is as follows

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: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x +…

A: Given :   The total cost function C (x) = 45,000 + 100 x + x 3 dollars Revenue function  R (x) =…

Q: In Problems 49–56, for each graph of a function y = f(x), find the absolute maximum and the absolute…

A: Given

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

A: Given that, the demand price of a product, p=175-0.5x We know that, revenue function, Rx=px   ,…

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 50,000 + 100x +…

A: a)The profit of the manufacturer is given by Profit=Revenue-cost Given cost of manufacturer,…

Q: B In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x…

A: cost function: C(x)=145+1.1xrevenue function: R(x)=5x-0.02x2

Q: In Problems 19 and 20, find the quadratic function for which:19. Vertex is (2, −4); y-intercept is…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Problem #3 – At Freeze Inc. the manufacturing of each air conditioning has a variable cost of $400…

A:

Q: Financial analysts in a company that manufactures ovens arrived at the following daily cost equation…

A:

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A:

Q: A manufacturer estimates that its product can be produced at a total cost of  C(x) = 35,000 + 100x…

A: Cost Function: C(x) = 35,000 + 100x + x3 dollars. Revenue Function: R(x) = 5500x dollars We need to…

Q: A consulting firm, using statistical methods, provided a veterinary clinic with the cost equation…

A: NOTE: Refresh your page if you can't see any equations. . the average cost function is given by

Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

A: Given

Q: Problem 2: The profit from grove of orange trees is given by P(x)= ax + bx2, where a & b are…

A:

Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: The given function is fx=x3-9x2+15x+21.  A  0,6(B)  -2,5C  2,7

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x +…

A: We use the formula for profit function P(x)=R(x)-C(x).

Q: QUESTION 8 Suppose a manufacturer of a clothes dryer found that when the unit price is x dollars,…

A: Given that,

Q: The average pollen count in a city on day x of the pollen season is P(x) = 8x−0.2x2 (for 0 < x <…

A: Here, we are going to solve only one question and for the remaining question post the question…

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

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: one hour to fill 1,000 bottles of Health-Wealth. Only 45,000 bottles and 66 hours are available for…

A: formulate the LPP let x= number of bottles of syrup tonus-2,000 let y= number of bottles of syrup of…

Q: What is the function, domain and range of the following problem 1.the number of shoes in x pairs of…

A: 1. Let there are x pair of shoes and y be the number of shoes  therefore, y= 2x The domain of the…

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x +…

A:

Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

A:

Q: If a profit function of a firm is given by P(x) = -1500 + 160x - x^2 and limitations on space…

A: Given - If a profit function of a firm is given by Px = -1500 + 160x - x2 and limitations on space…

Q: In Problems 21-28, find the indicated function if cost and revenue are given by C(x) respectively. =…

A: The cost function, C(x)=145+1.1xrevenue function, R(x)=5x-0.02x2

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 55,000 + 100x +…

A: To find the maximum of the function fx, solve the equation f'x=0 for x. If f''c&lt;0, then the…

Q: Suppose a company has a cost function C(x)= 1600-22x+xsquare and the revenune function R(x)=…

A:

Q: Vined Practice In Problems 55–58, (a) graph each function by hand, and (b) solve f(x) > 0. 2 + 5x –…

A: Since you have asked multiple question, we will solve the first question for you.

Q: In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = = 145 + 1.1x…

A:

Q: If the profit function for a firm is given by  P(x) = −5700 + 220x − x2  and limitations on space…

A: A company’s break-even points occur where the revenue function and the cost function have the same…

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: (b) Show that if r (x) = 6x and c (x) = x – 6x² +15x are your revenue and cost functions, then the…

A: Answer for 2(b) b) Show that if r(x)=6x and c(x)=x3-6x2+15x are revenue and cost functions, then we…

Q: 3. Suppose that the revenue in selling r tables is equal to 200x – 0.25x2 dollars, and producing a…

A:

Q: Solve the following problems. 1. Find two numbers whose product is 64, and whose sum is a minimum.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.