If the total cost function for producing x lamps is C(x) = 270 + 39x + 0.3x2 dollars, producing how many units, x, will result in a minimum average cost per unit? x units Find the minimum average cost per unit. %24

Q: A piano manufacturer has a daily fixed cost of 1,400 and a marginal cost of 1,600 per piano. Find…

A: Given, a piano manufacturer has a daily fixed cost of 1,400 and a marginal cost of 1,600 per piano

Q: The cost C for ordering and storing x units is C = 7x + 200,000/x. What order size will produce a…

A: Differentiate w.r.t to x

Q: Find the number of units x that minimizes the average cost per unit C. C- 0.03x + 30x + 30,720

A: Given data :  The cost of production C depends on the number of units produced , x , according to…

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

A:

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: For the given cost function C(x) = 72900 + 800x + x², First, find the average cost function. Use it…

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Q: The marginal cost of a product can be thought of as the cost of producing one additional unit of…

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Q: A company produces bags, each of which could be sold for $150. It has a fixed monthly cost of…

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Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales,…

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the…

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

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: If the total revenue function for a computer is R(x) = 1200x – 32x2 – x3, find the level of sales,…

A: Let's find.

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

A: The average cost can be calculate as Average cost (AC) =Total CostNumber of units=CxTotal cost =0.06…

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

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Q: If the total cost function for a product is C(x) = 0.5x2+3x +450 dollars. What is the minimum…

A: The total production cost for a product is given as, Cx=0.5x2+3x+450 Average cost is total cost…

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

A:

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: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

A:

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

A: Given that

Q: A company produces motorcycles. The cost of producing æ motorcycles per month is given by C(x) =…

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Q: A firm has monthly average costs, in dollars, given by C= 41,000 + 300 + x where x is the number of…

A: *to find:- (i) number of units (x) that gives maximum profit. (ii) maximum profit.

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

A:

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

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Q: C = 0.04x3 + 51x² + 1285 X = units

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Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Compare the given cost function with the general quadratic function as follows.

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

A:

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: If the total cost function for a product is C(x) = 810 + 0.1x dollars, producing how many units, x,…

A: Given: Total Cost Function for a product is Cx=810+0.1x2 dollars To Find: How many units, x will…

Q: Consider the following total revenue function for a hammer. R = 20x – 0.01x² (a) The sale of how…

A: The revenue function of the hammer is R = 20x-0.01x2.

Q: If the total cost function for a product is C(x) = (x + 8)3 dollars, where x represents the number…

A:

Q: 2) A medicine company has a total profit function P(x) = 592X2 + 0592X + 20, where x is the number…

A: Given:         Px=-592x2+0592x+20   where x is the number of items produced. differentiating with…

Q: If the total cost function for a product is C(x) = 490 + 0.1x2 dollars, producing how many units,…

A:

Q: If the total revenue function for a computer is R(x) = 2600x − 11x^2 − x^3, find the level of sales,…

A:

Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

Q: If the total cost function for a product is C(x) = 250 + 0.1x2 dollars, producing how many units, x,…

A: Average cost is the ratio of total cost of production by x. Find the function of average cost and…

Q: A boat on the ocean is 9 km from the nearest point on a straight shoreline; that point is 10 km from…

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Q: If the total cost function for a product is  C(x) = 10 + 0.1x2 dollars,  producing how many units,…

A: Given cost function: Now,

Q: If the total cost function for a product is C(x) = 5(x + 2)3 dollars, where x represents the number…

A:

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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Q: The demand function for a calculator is given by p = D(x) = 225 – 0.03x² dollars. Find the level of…

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

A: Minimize average cost

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

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Q: For the given cost function C'(x) = 52900 + 600x + x, First, find the average cost function. Use it…

A: Cost function C(x)=52900+600x+x2

Q: For the given cost function C(x) = 19600 + 600x + x, First, find the average cost function. Use it…

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

A: Concept - for minimum Cost Function ,d(C)/dx=0, and d^2/dx^2 should be positive.

Q: 7. Find the price per unit p that produces the maximum profit given

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Q: 4) If the total revenue function for a computer is R(x) = 45x + 3x? – x3 a) Find the level of sales,…

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

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Q: A company sells its product for $52 each. They can produce each product for $29 each and they have…

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Q: If the total revenue function for a computer is R(x) = 1800x - 23x2 - x³, find the level of sales,…

A: