10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and x-intercepts

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: 4. The total cost of producing q radio sets per day is given by C(q) =q² + 35q + 25 and the price…

A: The profit function is given by the formula . The Revenue function is the product of the number of…

Q: 3. Find two numbers whose sum is 6, such the sum of their cubes is minimum.

A: Let two numbers are x and y  and S denotes sum of their cubes of numbers  we need to use second…

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

A: The revenue function is R=x·p, where p=60-0.0125x. Calculate the revenue function.…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain…

A:

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: In 2009, the federal income tax T on income of x dollars (up to $82,250) was determined by the…

A:

Q: What is the minimum point of the curve y = x2 – 6x + 4

A: The given function is: y=x2-6x+4   First, we have to find the critical points by solving dydx=0.

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: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A:

Q: 1. After an aggressive marketing campaign in the local community, Lumyn Electronics discovered that…

A: The total cost in a month, C is given by the function:C = 25n2 - 1,500n + 25,000 where n represents…

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 f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value.

A:

Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

A:

Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

Q: 2. The Minimum point of y= 320

A:

Q: Give the domain and range of the quadratic function whose graph is described. Minimum = - 7 at x = 1

A: The solution is attached below in Step 2

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: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: 7. Given the profit function P(x) = 500x –- where 100 x is number of units sold. Find x to get…

A:

Q: z = x? + xy + y² - y

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Given: -

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

A: Given

Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

Q: 3.3 Determine the quadratic function being the best l2 approximation for the fol- lowing point…

A: Given The given point cloud is -2,5,-1,-1,0,4,1,7,2,6,3,5,4,-1. Apply formula A*Ax=A*y

Q: Suppose that c(x) = x3 - 20x2 + 20,000x is the cost of manufacturing x items. Find a production…

A:

Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

A:

Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…

A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² +…

A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

Q: If y =4√x- x the value of x that maximizes y is ......... and this maximum is

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: Suppose a firm's revenue function is given as R(Q) = 1200Q- Q? and their cost function is C(Q) = Q3…

A: Given: R(Q)=1200Q-Q2C(Q)=Q3-61.25Q2+1528.5Q+2000 To maximize the firm's profit.

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

A:

Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by  L(x,y)=…

A:

Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

A:

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

Q: What is the minimum of the function y = –x° + 3x for x < -1? O 2 O-4 4 O-2

A: We can solve it graphically. Graph of f for x&lt;=-1:

Q: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -…

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx,…

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

A:

Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A: Let us take a continuous function f(x,y) such that double derivative of function is also continuous.…

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

A: