The cost C (in dólares) of ordering and storing x unit is C=2x+300,000/x. What order size will produce a minimum cost?

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: A solid steel cylinder is to be produced so that the sum of its height h and diameter 2r is to be at…

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

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

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Q: A worker is to construct an open rectangular box with a square base and a volume of 27 ft°. If…

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Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

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Q: Give the cost function C=10x + 1,000/x , find the number of unit x to get the minimum cost.

A: The given cost function is

Q: The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the…

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Q: A worker is to construct an open rectangular box with a square base and a volume of 98 ft°. If…

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Q: What is the critical point of the total cost function TC = Q3-6Q2 – 640Q? 640Q ? %3D 1/3

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Q: ) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands ars.…

A: Given: The cost to produce x batches of widgets is Cx=x+14 The revenue is Rx=-x2+10x C(x) and R(x)…

Q: Suppose the demand for a product is given by 2p3q = 500p2 where p is price in dollars and q is the…

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Q: 5. An open rectangular box with a square base is to contain 500 m³ . What is the minimum cost if the…

A: A open rectangular box with a square base contain 500 m^3

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: Find the minimum cost of producing 50,000 units of a product, where x is the number of units of…

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Q: If the price for smoothie supplies which is $35 increases by 5%, what is the minimum price that a…

A: Price of smoothie=$35 After 5% increase in price = 35+35×5100=$36.75

Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: The Cobb-Douglas production function for a particular product is N(x,y) = 80x°y3 where x is the…

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

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

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Q: A firm has approximated the average cost for one of its Products by AC = 3q +2. The demand function…

A: Given AC=3q+2--1and 3q=98-4p---2here q=output and p=pricenowTotal…

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: Find the minimum AVERAGE cost, if the total cost function is given by C(x)=3x2+7x+7500 O A. 420 O B.…

A: Given equation:-    C(x)=3x2+7x+7500 Then the Average cost is A= C(x)x C(x)=3x2x+7xx+7500x C(x) =…

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

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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: 2. Given the cost function C(x) =140 +0.2x, use marginal cost to approximate the cost of producing…

A: To find the marginal cost function we find C'(x)

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

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

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Q: 18. If the total cost function for a product is C(x) = 300 + 10x + 0.03x² dollars, producing how…

A: Question number 18,Given,            The total cost function for a product is Cx=300+10x+0.03x2…

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

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: Given cost function C(q) = q° - 125q + 25000q, what is the minimum average cost? It would be $ per…

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

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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: The cost of producing x units of a product is modeled by C=700+400x 1n x,x greater or equal to 1.…

A: Given the cost function C(x), the average cost per unit C¯x=Cxx The Marginal cost C'(x) is the…

Q: Assume that it costs Apple approximately C(x) = 25,600 + 100x + 0.01x² dollars to manufacture x 32GB…

A: We use second derivative test to find out minimum average cost

Q: If the total cost function for producing x lamps is C(x) = 720 + 39x + 0.8x^2 dollars, producing how…

A: Use formula for average cost

Q: A supermarket expects to sell 4000 boxes of sugar in a year. Each box costs $2, and there is a fixed…

A: Annual demand (A) = $4000 boxes   Price of each box (P) =$2   Delivery cost (D) =$20 per order…

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: 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: If the total cost function for producing x lamps is C(x) = 800 + 37x + 0.5x dollars, producing how…

A: Given  cost function C(x)=800+37x+0.5x2 As per our gudeline we supposed to Answer only first…

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

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Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A: Let us take a continuous function f(x,y) such that double derivative of function is also continuous.…

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

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Q: Given the total cost function for a St Lucian Construction Company is: TC = 1250 + 10Q-0.9Q2 + 0.06…

A: Given : TC = 1250 + 10Q - 0.9Q2 + 0.06Q3   To find :  a. Rate of output that results in minimum…