If the profit function for a product is P(x) = 5600x + 65x2 − x3 − 122,000 dollars, selling how many items, x, will produce a maximum profit? x =        items Find the maximum profit. $

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing…

A: Differentiate Q(x) w.r.t x to find the derivative for the function Q(x). The slope for function at…

Q: The profit function, in dollars for a product is given by π(x)=-x3 +76x2-380x-2800 where x is the…

A: Profit function , in dollars, is Firstly, we add and subtract 10 x^2

Q: If the profit function for a product is P(x) = 2100x + 10x2 – x3 - 15,000 dollars, selling how many…

A:

Q: The profit for a product can be described by the function p (x)=202x– 5000–x² dolars maximize…

A: Follow the procedure given below.

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: The profit for a product is given by ​ Px)=-12x^(2)+1600x-14400 where x is the number of units…

A:

Q: The profit function,in dollars, for a product is given by  Π(x) = −x^3 + 76x^2 − 380x − 2800, where…

A: (a) Consider the provided profit function,

Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

A:

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

Q: The revenue from the sale of a product is given by the function R= 289x-x², (a) Use factoring to…

A:

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: The profit function of a company is P(x) = -3000x² + 600x – 450, then the fixed cost of the company…

A: Clearly we can see that, Constant term in the expression of P(x) is (-450).

Q: A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling…

A: Given:

Q: If the profit function for a product is P(x) = 3500x + 40x² – x³ – 50,000 dollars, selling how many…

A: To find the value of x and maximum profit

Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

Q: The profit P (in dollars) generated by selling x units of a certain commodity is given by P( x) =…

A:

Q: The profit for a product can be described by the function ​P(x)=232x−5000−x2 ​dollars, where x is…

A: Given profit function ,        Px=232x-5000-x2

Q: A company sells at 500 pesos per item everything it produces of certain merchandise. If x items are…

A: Company sells per item at 500 pesos. and we have total cost of production and sales are given by…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

A:

Q: 5. The profit function for a business is given by the equation P(x) = -3x2 + 24x – 45, where x is…

A: Given that

Q: The profit function,in dollars,for a product is given by Π(x) = −x3 + 76x2 − 380x− 2800, where x is…

A:

Q: the number produced. If the total revenue is given by R(x) = 450x x2 dollars, how many items, x,…

A: Given query is to find the maximum profit .

Q: Find the maximum value of the quadratic function f(x)= – x² +2x+7.

A: for maximum value of f(x) put f'(x)=0.

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as  P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

Q: A company can produce a maximum of 25 widgets in a day. If they sell x widgets during the day then…

A: Above question is solved.

Q: the profit function for a product is P(x) = 1800x + 75x2 − x3 − 54,000 dollars, selling how many…

A: GivenP(x) = 1800x + 75x2 - x3 - 54,000To find number of items that miximize the profit

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x2 dollars, where x is the…

A:

Q: The area of a rectangle is represented by 12x - x² where x is a side of the rectangle. For what…

A:

Q: If the profit function for a product is  P(x) = 3000x + 65x2 − x3 − 76,000  dollars, selling how…

A: Solve the following

Q: P(x)= -x+ 12x-36x+400, x23 is an approximation to the total profit (in thousands of dollars) from…

A:

Q: A fast-food restaurant has a cost of production C (x) = 13x + 126 and a revenue function R(x) = 6x.…

A: Given: C(x)=13x+126 R(x)=6x The company will start to turn a profit when the revenue function will…

Q: If the profit function for a product is P(x) = 6400x + 80x2 – x3 - 250,000 dollars, selling how many…

A: Given:    P(x) = 6400x + 80x² - x³ - 250,000

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

A:

Q: If the profit function for a product is P(x) = 5600x + 85x^2 − x^3 − 160,000 dollars, selling how…

A:

Q: Suppose C(x)=x^2−6x+17 represents the costs, in hundreds, to produce x thousand pens. How many pens…

A:

Q: If the profit function for a product is P(x) = 3500x + 80x² – x³ – 108,000 dollars, selling how many…

A: given,        Px=3500x+80x2-x3-108000

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: Suppose that the profit a company makes from selling x units of a product is given by : P(x) = -2x²…

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: Find the maximum value of the quadratic function.  f(x)= - 3x2 + x - 7

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

Q: The profit function for a certain commodity is P (x) = 130x-x^2 - 2000. Find a level of production…

A: The profit function for a certain commodity is P (x) = 130x-x^2 - 2000. Find a level of production…

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: topic - application of derivatives

Q: If total costs for a commodity are given by C(x) = 950 + 20x and total revenues are given by R(x) =…

A: topic - maximum and minimum value of function