P(x) = -400x + 6,800x – 12,000 dollars. At what rate is profit changing with respect to the level of production x when 9,000 units are produced?

Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Given that: Profit function: P(x)=-400x2+6800x-12000

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Marginal cost is the rate of change of total cost, i.e, c'(x).

Q: The cost of manufacturing snow blowers is given by C(x) = 350 + 6x - 0.4x². А. Find the marginal…

A: Solution B )average cost = ΔC / ΔX  = (350 + 6x - 0.4x2)/ x = 350/x + 6 - 0.4x at  x = 25 = 350/ 25…

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A:

Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the…

A:

Q: The marginal cost (in dollars per box) of producing the xth box of HDMI cables is C'(x)=-…

A: To find the function of C(x) we integrate C'(x) c=integrating constant

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: You have a large metal box filled with honey, where the width is 14 cm, the length is half its size,…

A: For the metal box, it is given that width is b=14 cm, Length is half of width, l=7 cm,  Volume is…

Q: the marginal profit function for a companyy is  MP(x) = -30x + 920 and P(8) = 6500 What is the…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: 2. If the marginal profit is P'(x) = x3 – 2x + 100 and the profit for selling 10 items is $2000,…

A: given marginal profit euation isP'(x)=x3-2x+100profit for selling 10 items is $2000to find profit…

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A: Given the marginal cost function, M(x)=f(x)=x2-2x+3.

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month…

A: Given: C=0.2x2+10,000

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10.…

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A:

Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A:

Q: it costs 0.05x2 + 6x +100 dollars to produce x pounds of soap. Because of quantity discounts, each…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: Given data÷ Cost function is given by C(x)=0.2x2+7000 Where,x=unit produced per month We have to…

Q: If f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

Q: The cost (in pesos) of producing x corkboards is given by x? + 20x + 500, while the price (in pesos)…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: Given that, the cost to produce x units per month is given by                C = 0.3x2+8,000  and…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: World consumption of lead is running at the rate of 4.7e0or million metric tons per year, where t is…

A:

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A: From the given data:

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

A:

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: A particle is moving along the graph of the equation y = x* + 2x -5x - 85. If the abscissa is…

A:

Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

A:

Q: A satellite radio station is launching  an aggressive advertising campaign  in  order to increase…

A: Initially, the value of the listeners is given as 27,000.   The growth rate of the S(t) is given as:

Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

A:

Q: What is the output when the input is 4 for a linear function that has a y-intercept of 5 and a rate…

A: Given information: The input of the linear function is 4. The y-intercept of 5 and the rate of…

Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

A:

Q: The sales of a product produces revenue R(x) where x represents the amount spent on advertising.…

A: Solution :-

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: What is the rate of change for h(x) = 2x2 + 7 on the interval [2, 9]?

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: When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2 – 230.4t + 9600 If the…

A: Given:- When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2–230.4t + 9600 To…

Q: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel…

A:

Q: The marginal profit in souls that Freddy Krueger makes from haunting nightmares, x, can be modeled…

A:

Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

A:

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

A: