A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue function R(x) = 560x. No more than 36 units can be- The break-even quantity isunits. (Type a whole number.)

Q: Find out the production units x for which cost is minimum if cost function C is given by C-x'-120x…

A: The cost function is given as C = x3 -120 x2 + 4500 x   The minimum value of the cost function is…

Q: Company X has a fixed expenses of 1.38M monthly and each units is produced at ₱20. Company Y has a…

A: Total cost is equal to the sum of fixed expenses and variable cost. Variable cost is equal to the…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,700 – x2 dollars,…

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Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

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Q: 2. A product has a demand function p = 144 – x² and its supply function is p = = x2 + 10x + 116. a.…

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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 the total cost function for a product is  C(x) = 810 + 0.1x2 dollars,  producing how many units,…

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Q: (a) Suppose a Firm produce output using the production function Q-5KL. Wage rate for hiring labor…

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the other…

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

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Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

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

A: Solution:-

Q: A firm produces a product that has the production cost function C(x) = 420x + 6090 and the revenue…

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Q: A manufacturer has been selling gadgets at a price of $50 each, and at this price, customers have…

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Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

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Q: The cost per unit of producing a product is 200 + 0.2x dollars, where x represents the number of…

A: Find the total cost.

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

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Q: The demand for a certain model smartphone is given by p = 400 - 0.01x, where p denotes the unit…

A: Given,  The demand function of a certain model smartphone is given by  p = 400 - 0.01x, where p…

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

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Q: If, in a monopoly market, the demand for a product is p = 175 - 0.50x and the revenue function is R…

A: Given that, the demand price of a product, p=175-0.5x We know that, revenue function, Rx=px   ,…

Q: The demand function for a product is p=140-2x , where p is the number of dollars and x is the number…

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

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Q: The total revenue curve of a firm is R(q) = 40q − 12q and its average cost A(q) = 1 30 q − 12.85q +…

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Q: A small manufacturer has determined that the daily cost in dollars of producing n injected molded…

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

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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: 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: If, in a monopoly market, the demand for a product is p = 175 − 0.50 x and the revenue function is r…

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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 for producing x items is C(x) =40x+100   The revenue function for…

Q: If the total cost function for a product is C(x) = 810 + 0.1x^2 dollars, producing how many units,…

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

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Q: A commodity has a demand function modeled by p = 105 − 0.5x and a total cost function modeled by C =…

A: Given  Demand function. p = 105 − 0.5x  total cost function C = 30x + 31.75

Q: With fixed costs of Ksh. 400,000, a firm has average total costs of Ksh. 3,000 and average variable…

A: Average total cost= Average fixed cost + Average variable cost

Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: A company has a price demand function P (x) = 150 − 3x for a certain product. What is the revenue…

A: The price demand function is provided as P(x) = 150 - 3x.The revenue function is given by,R(x) =…

Q: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

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Q: 1. The total monthly income of a nursery for the care of x children is given by r = 450x, and its…

A: Given :-  The total monthly income of a nursery for the care of x children is given by  r = 450 x…

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $68 per edition…

A: The cost function is given by Cx=mx+b, where m is the marginal cost and ? is the fixed cost. Revenue…

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: 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 total cost of producing w phone sets per day at Cutting Edge Electronics plant is $( ½ w^2 + 70w…

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

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

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: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A:

Q: If, in a monopoly market, the demand for a product is p = 2100 x and the revenue is R = px, where x…

A: Maximize revenue

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

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.