The cost of producing x smart phones is C(x) = x2 + 400x + 3000. (a) Use C(x) to find the average cost (in dollars) of producing 1,000 smart phones.   (b) Find the average value (in dollars) of the cost function  C(x) over the interval from 0 to 1,000. (Round your answer to two decimal places.)

Q: Find the average rate of change of the function f(x) = 2x² + 16x + 28 on the interval [-3, –3 + h].

A:

Q: The average rate of change of a function f(x) = x² between x = 2 and x = 4 is %3D average rate of…

A: The given function  f(x) = x2 The average rate of change of function over interval [a, b] is given…

Q: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of…

Q: Find the average rate of change of f(x)=3x2 +2x−2 on the interval [2,t].

A: Consider the function f ( x ) on the interval [ 2,t ],

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: The marginal cost of producing the xth box of light bulbs is  5 −x/30000,  and the fixed cost is…

A:

Q: The average cost when producing x items is found by dividing the cost function, (x), by the number…

A: Given:- C(x) = 10x+180 The average cost when producing x items is found by dividing the cost…

Q: The demand and supply functions for a product are modeled by Demand: p = −0.2x + 8 and Supply: p =…

A: The given demand function is p=-0.2x+8 and supply function is p=0.1x+2, where x is the number of…

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…

A:

Q: For the given cost function C(x)=10000+700x+x2C(x)=10000+700x+x2,First, find the average cost…

A:

Q: The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is…

A: Given, Marginal cost = dC/dx = 14 - x/10000 now dC/dx = 14 - x/10000 dC = (14 - x/10000) dx…

Q: Given a total-revenue function R(x) = 800/x - 0.2x and a total-cost function C(x) = 1600 (x +5)+…

A: Total-revenue function R(x)= 800x2-0.2x Total-cost function C(x)= 1600(x2+5)13+500 Profit function…

Q: The marginal cost of producing the xth box of DVDS is 9 + and the fixed cost is $100,000. Find the…

A:

Q: An electronic manufacturing firm has the profit function P(x)= x³+x² - ADX + A, and revenue function…

A:

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

A:

Q: A construction company has determined its price-demand function for a certain product is given by…

A: A construction company has determined its price-demand function for a certain product(i.e., price…

Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 2500 + 700x² + 5x3…

A:

Q: The annual revenue and cost functions (in dollars) for the manufacture of dining room sets are…

A:

Q: A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars…

A: Given:  A small tie shop finds that at a sales level of x tiles per day its marginal profit is MPx…

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A:

Q: The marginal cost of producing the xth box of lightbulbs is 10-x/30000, and the fixed cost is…

A: Given,         The marginal cost of producing the xth box of lightbulbs is 10-x30000 , and the fixed…

Q: What is the Average Rate of Change for the function f(x) = x² + 7x - 4 over the interval [0, 2]? You…

A: Follow the procedure given below.

Q: Find the average rate of change of the function f(x) = - 2x – 7x + 8, over the interval [-1,1]. -…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: GivenRevenue functionR(x)=50x-0.1x2And Cost functionC(x)=5x+30NowProfit function is given by…

Q: Find the average rate of change of the function f(x)=-2x^2-1x+6, from x=-2 to x=0. Find the average…

A:

Q: The demand function for a certain commodity is p(x)=10−0.001x, where p is measured in dollars and x…

A: Given data:     The expression for the demand function for a certain commodity is: p(x)=10-0.001x.…

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact…

A:

Q: Find the average rates of change of f(x) = x2 + 2x (a) from x1 = −3 to x2 = −2 and (b) from x1 = −2…

A: (a) Average rate of change of f(x) from x1=a to x2=b is given by f(b)-f(a)b-a f(x)=x2+2x Find f(-3)…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Revenue is the amount that producer get by selling teh product. Cost of the product is the amount…

Q: Find the average rate of change of the function f(x)=−2x^2+5 between x=−1 and x=3

A: given function :

Q: Find the average rate of change of the function:  f(x) = 6x from x1 = 0 to x2 = 4

A: fx=6x Now, f0=60=0 & f4=64=24

Q: For the given cost function C(x)=40000+700x+x2C(x)=40000+700x+x2, First, find the average cost…

A:

Q: The marginal cost of producing the xth box of light bulbs is  10 − X/20000,  and the fixed cost is…

A:

Q: Find the average rate of change of the function f(x)=6x from x1=0 to x2=2.

A: Given, x1= 0 X2= 2 f(x)= 6x

Q: A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of…

A: Given: C(x)=1200+3x-0.01x2+0.00007x31) Marginal cost of the function is the derivative of C(x).…

Q: 2) At a small clothing company, the estimated cost function for producing a new line of jeans is…

A:

Q: find the average rate of change of g(x)=x3-2x+1 from 1 to 3.  average rate of change for function…

A: Given: g(x)=x3-2x+1 over the interval [1,3]

Q: Given the function g(x) = -x² + 6x + 11, determine the average rate of change of the function over…

A:

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

A:

Q: Find the average rate of change of f(x) = x² - 3x from x = -3 to x = -1.

A: The given function is fx=x2-3x  and a=-3,b=-1.

Q: Determine the value of a so that the average rate of change of the function f(x) = 3x² + ax -4 over…

A: The average rate of change of the function fx can be calculated by the following formula. Average…

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

A:

Q: Find the average rate of change of the function:f(x) = x2 + 2x from x1 = 3 to x2 = 5

A: Given function is fx=x2+2x. To find: The average rate of change of the given function from x1=3 to…

Q: Find the average rate of change of f(x) = 3x2 +2x – 2 on the interval [2, t].

A: 555

Q: Find the average rate of change of f(x) = x2 from x1 = -2 to x2 = 0.

A:

Q: Find the average rate of change of f(x) = x3 from x1 = -2 to x2 = 0.

A: We have to find average rate of change of function fx=x3 from x1=-2 to x2=0. We know that if we have…

Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

Q: On the function f(x) = 2x2+x-1, determine the average rate of change from x=1 to x=3.

A: It simply solve by the function average definition

Q: Using the function f (x) = 2x2 - 3x 1, find the average rate of change of f (x) in the interval…

A:

Q: Find the average rate of change of the function from x1 to x2 f(x)= 5x+7  from x1=-1 to x2=0

A:

Exponential Growth Model

The relation that represents an exponential function is: