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

Q: 4. The cost function for a commodity is given by Ctx) = 5-2x, what is the margiral average cost…

A: As per guideline we have to solve one question

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 a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars,…

A: Given,  Fixed cost = $46,800 Variable cost per unit = $(2/5 x + 333) Selling price of product =…

Q: If TC=0.01x²+5x+100 is the cost function for x items of a product, at what level of production, x is…

A: As per the question we have to minimise the cost function Tc and find its minimum value as well as…

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: For the given cost function C(x) = 28900 + 700x + x², First, find the average cost function. Use it…

A: The given cost function is: C(x)=28900+700x+x2

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: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: C=0.02x3+58x2+1455 the average cost function is given by  C¯=Cx C¯=0.02x3+58x2+1455x…

Q: Suppose the cost of producing x lawn mowers is C1x2= -0.02x2 + 400x + 5000. a. Determine the average…

A: Given: The cost of producing lawnmowers is given as:

Q: Suppose a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars,…

A: Solution:-

Q: 2 For the given cost function C(x) = 78400 + 600x + x², First, find the average cost function. Use…

A:

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: The average cost function for a mining operation is C¯x=5x+3125x,  x≥0 where x is the number of…

Q: 4. A company finds that the total cost of manufacturing x units of a certain product is given by…

A: 4 a) Given that, the cost function is Cx=12x2+100x+125000. Obtain the average cost function Cx=Cxx.…

Q: Suppose the cost function for a product is given by C(x)=.002x^3+9x+6912. Find the production level…

A: Consider the given cost function of a product is,

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

A:

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

A:

Q: The demand for a certain product is given by p = 400 – 10x where p is price in dollars and x is…

A:

Q: What values of a and b maximize the value of ! (7x-x) dx? a

A:

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

A:

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p = $45 -…

A: Given:   The price per unit of phone is given as P=$45-0.0125x     where x is in thousands of phones…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: The cost of producingx units is given by C(x) = 32000 + 1.7x + 20x dollars. Find the value of x that…

A: Given cost function, c(x)=32000+1.7x+20x2

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7x dollars per…

A: Given that the selling price per unit is, p=3,500-0.7x dollars. The total production cost is,…

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

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

A:

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

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: Find the number of units x that produces the minimum average cost per unit  C   in the given…

A: Minimize average cost

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² +…

A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

Q: Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where…

A: Given the fixed cost of a company is $54400 and the variable cost per unit is 49x+222 dollars,…

Q: A firm can produce only 3200 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Find the profit function P(x):

Q: d. Suppose the cost function for x units of a commodity is given by C (x) = 81000 + 200x + 6x³7²…

A: Given,         The cost function for x units of a commodity is given by…

Q: C = 2x2 + 343x + 3,200 X = units

A:

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

A:

Q: If the total cost function for a product is  C(x) = 3(x + 2)3 dollars,  where x represents the…

A: Given,          The total cost function for a product is Cx=3x+23 dollars, where x represents…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: The given equation is C=0.001x3+6x+128. Average cost = Total costNumber of units…

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

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

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 total cost of making x units of a certain commodity is given by C= 0.005x3 + 0.45x²+ 12.75x.…

A: An optimization method is used to evaluate the maximum or minimum value of a function by…

Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x2 dollars, producing how…

A:

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

A: Given is the cost and revenue function. To compute the break-even point.

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: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -…

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx,…

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

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

A:

Q: Suppose that the total revenue function for a commodity is  R(x)=25x-0.5x^2 a. Find the x…

A:

Q: If the total cost function for a product is  C(x) = 4(x + 7)3 dollars,  where x represents the…

A: