3. [3pts] Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 + 0.005x² + 28x + 3000. %3D Find the average rate of change of total cost when production changes from 300 to 400 printers.

Q: he marginal cost (rate of change of cost) in euros per unit of production for artilugios in a ertain…

A:

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: Daily crude oil production by one particular oil company for 2008-2013 could be approximated by P (…

A: The given function is Pt=0.009t2-0.7t+3.43. Compute the average rate of change of P ( t ) over the…

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is…

A: Given that for a certain ice cream company indicates that if the price per cup of ice cream is…

Q: #7. Find the average rate of change of the function between the give values of x. y = -5x – x2…

A: The average rate of change of a function fx on an interval a, b is given by…

Q: 13. a) Determine the average rate of change over the interval x = [1, 5] of the function y = 3x + 1.…

A: To solve the following

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

A:

Q: 4.) The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x? + 10x + 5000.…

A:

Q: 1. The cost (in pesos) of producing x corkboards is given by x2 + 20x + 500, while the price (in…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: 2. Find the average rate of change of g (x) = -2x-2x from x= 1 to x=4. Simplify your answer as much…

A: Given, gx = -2x2-2x  We have to find the average rate of change of function from x = 1  to  x = 4 .…

Q: 2. Malik, the business manager of a company that produces in-ground outdoor spas determines that the…

A:

Q: 9. The rate at which the value, V, of a painting changest years after it is completed is given by…

A: Image is attached.

Q: 6) The marginal revenue from the sale of x units of certain commodity is given by R'(x) = 4x-1.2x…

A: Since, the marginal revenue from the sale of x units of certain commodityis given by…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: Given that a company can produce 12,000 units when the number of hours of skilled labor y and…

Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

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

Q: (4) The marginal cost of manufacturing y yards of a certain fabric is C'(y) = 3 – 0.0ly + 0.000006y?…

A:

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

A:

Q: 4. Suppose the produetivity of a country can be approximated by: Y(L, K) = 10L0 K®9 where L is units…

A: Topic - derivative Marginal productivity Of anything is the change in output when one unit of that…

Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: Use average rate formula

Q: Suppose the cost of producing q leather smartphone cases can be found with the function…

A: Consider the provided function, Cq=100+2q-0.01q2 We need to find the average rate of change of this…

Q: 1. Find the average rate of change Where x 1 and x 2 y= f(x) -4 -1 10 Where x = 2 and x =5 -3 -4 -5…

A:

Q: 16) The marginal revenue from the sale of x units of certain commodity is given by R'(x) = 100-…

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A:

Q: Find the maximum rate of decrease of f at the point (1, 2). None of the above -2/2 2/2 8.

A: To find- Maximum rate of decrease of f at the point(1,2)

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) -…

A:

Q: 1. Suppose that the cost (in pesos) for a company to produce pairs of a new line of jeans is 2 000 +…

A:

Q: 2. Suppose that the marginal revenue for a product is MR = 900 and the marginal cost is MC = 30Vx +…

A:

Q: The line with the rule y = 3x + 4 intersects the curve with equation ¦(x) = x2 at the points (-1, 1)…

A: Given:- The line with the rule y = 3x + 4 intersects the curve with equation f(x) = x2 at the points…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A:

Q: (c). Suppose that the revenue in dollars from the sale of x units of a product is given by = 7000xe¯…

A:

Q: 18. Estimate the instantancous rate of change of the function f(x) = x' +4x - 11x-30 at x = 1. Round…

A: Given,  f(x)=x3+4x2-11x-30, x=1

Q: Find the value of the marginal rate of technical substitution for the production function Q =…

A: The given production function is

Q: Yes or No? If No, give a reason.

A: Given: Average rate of a function is secant lineTo find: Can the average rate of change of an…

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R = 100 + 0.08t at t = 10 R = 100 + 0.8 R = 100.8 million dollars.   C = 60 + 0.2 t2 at t = 10 C =…

Q: The price P of gasoline increases to a maximum and then stays at a fixed price. What is the rate of…

A: Given: The price P of gasoline increases to a maximum and then stays at a fixed price. What is the…

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: 5. At a sunglass manufacturing company, the estimated average cost function for producing a new line…

A:

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

A:

Q: The marginal cost of producing the xth box of light bulbs is 9-x/30000 and the fixed cost is…

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A:

Q: Suppose total cost in dollars from the production of x printers is given byC(x) = 0.0001x3 + 0.005x2…

A: average rate of change of cost between point [a,b] is given by

Q: For the production function given by x-2 Hab - Aa² - Bb², ow that the marginal rate of technical…

A: The marginal rate of technical substitution (MRTS) shows the rate at which  one input can be…

Q: When the price of a certain commpdity is p dollars per unit, the manufacturer is willing to supply x…

A: Given  5p2 - 2x2 = 27 where p is the price of a certain commodity in dollars per unit x is the…

Q: The cost in pesos of producing x units of a certain commodity is C (x) = 5000 + 10x + 2x? What is…

A: Please see the answer below.

Q: A hat manufacturer is planning to expand its workforce. It estimates that the number of hats…

A:

Q: Find the average rate of change of the function between the given values of X.  y=-5x-x^2 between…

A:

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A:

Q: z = x2 + y2, where x and y are increasing at the constant rates of 2 units per second and 3 units…

A: