Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production level that will minimize the average cost of making x items.

Q: Find the number x in the interval so that the difference of the number from thrice its cube is…

A: Solution is given below:

Q: suppose the daily cost C of manufacturing x bicyklces is given C(x) =80x_+4800 now the average daily…

A:

Q: The Builders Company can produce up to 200 tiles per week. If the weekly cost function is…

A:

Q: 11) If the cost function is given by C(x) = - 6x + 400, find the number of units that will minimize…

A: C(x)=x22-6x+400

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: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

A: Given  Cx = 2.5x2+75x+25000

Q: A 440-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Let x = number of dollar increase in rent per day. Total room rented = (440 – x) rooms Rent per day…

Q: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

A: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

Q: If the total cost function for a product is C(x) = 120(0.02x + 5)³ dollars, where x represents the…

A:

Q: A firm produces a product that has the production cost function C(x) = 300x + 14,100 and the revenue…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  the revenue…

Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

Q: Suppose a company has fixed costs of $39,000 and variable costs of 1/3x^2 + 444 x dollars, where x…

A:

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

A:

Q: A company that produces cell phones has a cost function of C = 11x – 84x + 21994, where C is the…

A: Given: The cost function C=11x2-84x+21994, where C is the cost in dollars and x is the number of…

Q: Suppose that the cost function is C(x)= x2 + 5x + 144. Find the value of x that minimizes the…

A: Given:

Q: A company that produces cell phones has a cost function of C = x² - 1200x+36,400, where C is cost in…

A: Derivate the cost function and equate it to zero to find the exact number of cell phones. Then again…

Q: The total cost of producing a type of tractor is given by C(x) = 27000 – 10x + 0.04x-, where x is…

A:

Q: Find the point on the graph of y = 1x that is closest to the point (2, 0). [Hint: 2(x - 2)2 + y2 has…

A: Given: y=x Let the point closest to (2,0) be P(x,y). Distance between point P(x,y) and (2,0) is:…

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: If the cost function C(x) = x2 + x + 100, in Iraqi dinars, where x is the production size. The…

A: To find the average cost function, divide the cost function Cx=x2+x+100 by the production size x.…

Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

Q: Find the marginal average cost function if cost and revenue are given by C(x) = 167 + 6.1x and R(x)…

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: (a) Suppose that c(x) = x³ – 20x² + 20, 000x %3D is the cost of manufacturing x items. Find a…

A:

Q: The total cost of producing a type of truck is given by C(x) = 24000 10x + 0.04x2, where x is the…

A: As per given by the question, The given equation is, Cx=24000-10x+0.04x2 Rewrite the equation,…

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: If the total cost function for producing x lamps is C(x) = 2160 + 32x + 0.6x2 dollars, producing…

A:

Q: Assume that it costs Sony approximately C(x)=800,000+340x+0.0005x2 to manufacture x PlayStation 4's…

A: We have given the cost function C(x) = 800,000 + 340x + 0.0005x2

Q: If the total cost function for producing x lamps is  C(x) = 4410 + 38x + 0.9x2  dollars, producing…

A:

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: The cost of producing x boards is given by x2 + 20x + 500, while the price of each board if there is…

A:

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

A:

Q: 4. The cost of producing x electronic games is given by C(x)= 1080 + 42x + 0.3x² dollars. Find the…

A:

Q: If the total cost function for a product is C(x) = 325(0.02x + 4)3 dollars,where x represents the…

A:

Q: If the total cost function for a product is C(x) = 120(0.02x + 5)3 dollars, where x represents the…

A:

Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

Q: The monthly output of a Spanish light bulb factory is P = 2LK2 (in millions), where L is the cost of…

A:

Q: If the total cost function for producing x lamps is C(x) = 3920 + 38x + 0.8x² dollars, producing how…

A:

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x + 60x + 200,…

A:

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: Given that, The price demand function is px=70-0.25x and the cost function is Cx=0.5x2+10x+800. We…

Q: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

A:

Q: If the total cost function for a product is C(x) = 5(x + 4)3 dollars, where x represents the number…

A: we have the cost function  C(x)=5(x+4)3

Q: Suppose the cost function is given by C (x) =2e3x. Find the x-value which minimizes the average…

A: It is given that, the cost function is given by C (x) =2e3x. We have to find the value of x which…

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: Suppose that C(x)=x² – 30x+15000 is the average cost of manufacturing x items. Find a production…

A:

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

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

Q: If the total cost function for a product is  C(x) = 80(0.02x + 5)3 dollars,  where x represents the…

A: Given cost function: Now,

Q: suppose that the price per unit in dollars of a cell phone production is modeled by p=$85-0.0125x,…

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…