Suppose the cost function of a company for producing a particular commodity is C(x) = 0.000003x³ – 0.04x² +200x+70000, where C is in dollars and x is the number of units. And suppose the demand function is given by p(x) = -0.02x+300. (a) Find the revenue function R(x). (b) Find the profit function P(x). (c) Determine whether the company can break even for some production level less than 1000 units.

Q: 3. The demand curve of the firm is p=1200-21q and its total cost is c(q)=2q^3 - 66q^2 + 600q +1000…

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Q: If, in a monopoly market, the demand function for a product is  p = 190 − 0.80x  and the revenue…

A: Given           Demand function , P = 190-0.8x           Rosenue function R = px           R = px…

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: 2) Using the cost function from problem 1, and the demand function given here: p(x) = -1.1x + 305,…

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Q: Solve the problem. 23) Find a company's total-cost function if its marginal cost function is C'(x) =…

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Q: If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) =…

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Q: maximum profit occurs when x =

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Q: The demand function for a product under pure competition is p = (64 - 4x)1/2  and the supply…

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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: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x,…

A: Given that the inverse demand and inverse supply functions are pD=10-0.2x and pS=4+0.2x, where x is…

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: Given the demand function p=20-0.0002x and x=30 , What is the price elasticity of demand at x=30?

A: The given function                      p=20-0.0002x

Q: The monthly demand function for a product sold by a monopoly is p = 2,020 - x? dollars, and the…

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Suppose that the price p of a product and its demand x are related through the price-demand equation…

A: To find the region for which the demand function is elastic.

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

A: The demand function is 10p+q=2100 and the supply function is 50p-q=1250 where p is price per item…

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: If the demand curve for a particular commodity is p = −0.09x + 51 and thetotal cost function C(x) =…

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Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A: Given: The demand function for a product is P=100-2.2Q and its supply function is P=2.8Q, where P is…

Q: We solve the problem of determining the production of two products (x1, X2), unless their market…

A: 1st we will find total profit then will use  Method of lagranges multiplier to maximize it . To…

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: Find producer's surplus at the market equilibrium point if the supply function is p = lq + 4 and the…

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Q: If, in a monopoly market, the demand function for a product is p = 150 − 0.10x and the revenue…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

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: 1. When the fixed cost of producing x units of steel is C(0) = $5500 and its marginal cost is C'(x)…

A: As per the rules we can answer only the first question.

Q: If consumption is $5 billion when disposable income is $o, and if the marginal propensity to consume…

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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: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to consume…

A: Consider the marginal propensity to consume is 0.80. Then, dCdy=0.80 That is, dC=0.80dy On…

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

A: Given demand function for a product is 10p+q=2100 and the supply function is 50p-q=1250 The…

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: 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: The monthly demand function for a product sold by a monopoly is p = 1,768 x² dollars, and the…

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Q: Find the cost function if the marginal cost function is C'(x)=8x-3 and the fixed cost is $12. OA.…

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Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

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Q: Suppose the demand function D(x) = – 3x+7 and supply function S(x) =2x+2. Find consumer surplus at…

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Q: 2 9. For the cost function C(x)= 500x+.01x+400 a) find the average cost function and find the demand…

A: Cost function C(x) = 500x + 0.01x2 + 400   Average cost function Ax = Total cost functionNumber of…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3

Q: Suppose that in a certain market the demand function for a product is given by  10p + q = 2,100…

A:

Q: Suppose that your revenue function is given by R(x)=15x, your cost function is given by…

A: Profit=P(x)= revenue - cost

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,200 - dollars, and…

A: Revenue=p.q TC=AC.q p is price , q is quantity.

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: 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: 3. Find the demand function for a clock manufacturer if marginal demand, in dollars, is given by p'…

A: Given, The marginal demand p'x = -24x3x2+12  p1 = 10  We have to find demand function px

Q: If consumption is $8 billion when disposable income is $0, and if the marginal propensity to save is…

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Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,300 and…

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Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…

A: Find your answer below

Q: Find the producer surplus for a commodity with a demand function p = 12 / x + 1 and a supply…

A: Given data- We have given the demand and supply functions. Demand function p = 12 / x + 1  Supply…

Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A: We have to find demand function, maximum revenue, maximum profit.

Q: If, in a monopoly market, the demand function for a product is p = 190 − 0.50x and the revenue…

A: Given, p = 190 − 0.50x and R = px

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100…

A: Given, Demand function 10p + q = 2,100   ---(i) Supply Function 50p − q = 150. Tax Levied=$3 per…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.