Suppose that the cost function for a commodity is C(x) = 50 + x dollars. (a) Find the marginal cost at x = 3 units. MC(3) = Tell what this predicts about the cost of producing 1 additional unit. The cost to produce the 4th unit is predicted to be $ (b) Calculate C(4) – C(3) to find the actual cost of producing 1 additional unit $

Q: Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x - 0.1x2. a. Find…

A: Consider the given cost function.

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: uppose the marginal prosperity to consume is (dC)/(dy)=0.04+(\ln (y+1))/(y+1)(in billions of…

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Q: If consumption is $6 billion when disposable income is$0, and if the marginal propensity to consume…

A: Since we have a marginal propensity to consume is dCdy=y+1-0.5+0.4. Also, if the consumption is $6…

Q: Suppose a company manufactures MP3 players and sells them to retailers for $98 each. It has fixed…

A: Topic:- cost and marginal function

Q: Suppose that the marginal propensity to consume is de - 0.7 -.-2y dy (in billions of dollars) and…

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Q: 2. A company manufactures x HD TVs per month. The monthly marginal profit is given by P'(x)…

A: The  monthly marginal profit function is By integrating, we get

Q: Find the cost function for x items with marginal cost function 4 C'(x)=2x+ given the cost of…

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Q: A manufacturer believes that the cost function 3 C(x) = a +36x +920 2 approximates the dollar cost…

A: here, the given cost function is: C(x)=32x2+36x+920

Q: C(x)=(5/2)x^2+90x+720 approximates the dollar cost of producing x units of a product. The…

A: Given cost function c(x)   Marginal cost function= d/dx (c(x))

Q: Suppose that the total revenue function is given by R(x) = 47x and that the total cost function is…

A: Given data: The given revenue function is R(x)=47x. The given cost function is C(x)=70+29x+0.1x2.…

Q: find the national consumption function.

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Q: Find the marginal cost function C(x) = 240 + 5.7x-0.04x2 C'(x) = O LC

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Q: 3. The cost (in pesos) of producing x toys is given by x² + 100x + 2000, while the price (in pesos)…

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Q: 13) The marginal cost function for a particular commodity is given by C'(x) = 6x-17. If the cost of…

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Q: Find the cost functio

A: Given Marginal cost function And Fixed cost $2 that is

Q: The total cost of producing x calculators is given by C(x) =4000+10X+0.05x2. The revenue from…

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Q: Exercise 4. Suppose a publishing company has found that the marginal cost at a level of production…

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Q: McRoberts Electronics sells 200 TVs per month at a price of $400 per unit. Market research indicates…

A: According to given, Total revenue is given by, R(x)= (200+x)(400-x) where x is the additional TVs…

Q: (d) Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x – 0.12². (i)…

A: Solution

Q: A company can sell x units of a product when the price is p D(x) = 3.00 - 0.005x dollars. The total…

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Q: Suppose a company's revenue function is given by R(q) = – q° + 280q and its cost function is given…

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Q: 1. Given the cost function C(x) =140 +0.2x for producing x item. Determine the marginal cost…

A: Cost function for producing x items is Marginal cost function is obtained as follows

Q: 9. If the cost of manufacturing x items is C(x) = x³ + 20x² + 90x + 15. Find the marginal cost…

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Q: 2. If the Profit function for producing x units is P(x) = 0.0035x³ + 120x, then the marginal profit…

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Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

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Q: Suppose that the cost funtion for a commodity is  C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal…

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost…

Q: Find the cost function for marginal cost function. C′(x) =  0.2x2 + 5x;     fixed cost is $10

A: the cost function can be archived by simply integrated the marginal cost function so we write the…

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

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Q: Suppose that the marginal propensity to consume is dc - 0.9 - e-2y (in billions of dollars) and that…

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Q: The cost function for producing x items is C(x)=30,000 +200x - 0.10x2 . The revenue function is R(x)…

A: To find the marginal cost we need C'(x) C(x)=30,000 +200x - 0.10x2 C'(x)=200-0.20x

Q: 1. Suppose that the cost (in pesos) for a company to produce pairs of a new line of jeans is 2 000 +…

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Suppose that the marginal cost to produce backpacks at a production level of x backpacks is 5x4 +…

A: Find the cost function

Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

A: Given Data: The consumption when income is $1 is: C1=$4.7 billion The equation of marginal…

Q: Find the cost function if the marginal cost function is given by C'(x)-x173+7 and 8 units cost $83.…

A: Given marginal function is  And C(8)=83.

Q: Suppose that the marginal propensity to consume is dC = 0.3 – dy - e-2y (in billions of dollars) and…

A: Given- dCdy=0.3-e-2y To Find- The national consumption function Cy and the consumptionis $5.35…

Q: Suppose the dollar cost of producing x video cameras is C(x) = 500x − 0.009x2 + 10−8x3. Estimate the…

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Q: (d) Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x – 0.1x². (i)…

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Q: Find the cost function if the marginal cost function is given by C'(x) = x 1/3 + 2 and 27 units cost…

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Q: Suppose the dollar cost of producing xx video cameras is C(x)=500x−0.003x^2+10^-8*x^3 Estimate the…

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Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

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Q: Find the cost function if the marginal cost function is C'(x) = 12x – 4 and the fixed cost is $9.…

A: We are given the marginal cost function: C'(x) = 12x - 4 we need to find the cost function. This can…

Q: Suppose a company's revenue function is given by R(q) = - q° +210q° and its cost function is given…

A: Given, The revenue function  Rq=-q3+210q2 The cost function Cq=460+11q  Where q is hundreds of units…

Q: Suppose that the marginal propensity to save is ds In(y + 1) dy - 0.93 - (In billons of dollars) y…

A: This is Separable differential equation

Q: If a total cost function is C(x) = .0001x3 − .06x2 + 12x + 100, is the marginal cost increasing,…

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Q: Suppose that the dollar cost of producing x appliances is ​c(x)=1300+90x−0.3x2. a. Find the average…

A: Given ​c(x)=1300+90x−0.3x2 is cost of producing x appliances.

Q: Suppose a company's revenue function is given by R(q)= − q^3+320q^2 and its cost function is given…

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Q: 4. If the marginal cost of a firm is 15e** and the fixed cost is 85, find the total cost function.…

A: We will find out the required values.

Q: Jel, The Collégiate Investigator, sells for 90¢ per copy. x) = 70 + 0.10x + 0.001x2 dollars. %3D

A: Given,