Exam 23:Firm Supply-Part A

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A firm has the long-run cost function C(q)=6q2 + 486.In the long run,it will supply a positive amount of output,so long as the price is greater than

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Mr.O.Carr has the cost function c(y)= y2 + 100 if his output,y,is positive and c(0)= 0.If the price of output is 25,Mr.Carr's profit-maximizing output is zero.

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A firm with the cost function c(y)=20y2+ 500 has a U-shaped cost curve.

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A profit-maximizing dairy farm is currently producing 10,000 gallons of milk per day.The government is considering two alternative policies.One is to give the farm a lump sum subsidy of $500 per month.The other policy is to give the farm a subsidy of $.05 per gallon of output.

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A firm's production function is f(x1,x2)=(min{x1,5x2})1/2.If the price of factor 1 is w1 =0 $5 per unit and the price of factor 2 is w2= $25 per unit,then its supply function is given by the equation S(p)=

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A competitive firm uses two inputs and has a production function f(x1,x2)= 8x.25 1x.25 2.The firm can buy as much of either factor as it likes at factor prices w1= w2 = $1.The cost of producing y units of output for this firm is

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A firm's production function is f(x1,x2)=(min{x1,3x2})1/2.If the price of factor 1 is w1 =$6 per unit and the price of factor 2 is w2=$6 per unit,then its supply function is given by the equation S(p)=

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A competitive firm produces its output according to the production function y =min{x3,1000}.Let p be the price of output,and let the price of input x be $1.The profit maximizing output for this firm is

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A competitive firm uses two inputs and has a production function f(x1,x2)= 23x.25 1x.25 2.The firm can buy as much of either factor as it likes at factor prices w1 = w2= $1.The cost of producing y units of output for this firm is

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A competitive firm uses two inputs and has a production function f(x1,x2)= 39x.25 1x.25 2.The firm can buy as much of either factor as it likes at factor prices w1 = w2 = $1.The cost of producing y units of output for this firm is

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Irma's production function is f(x1,x2)=(min{x1,5x2})1/2.If the price of factor 1 is w1 =0 $5 and the price of factor 2 is w2 =0 $20,then her supply function is given by the equation

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A competitive firm has a continuous marginal cost curve.It finds that as output increases,its marginal cost curve first rises,then falls,then rises again.If it wants to maximize profits,the firm should never produce at a positive output where price equals marginal cost and marginal cost decreases as output increases.

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A competitive firm has a single factory with the cost function c(y)= 4y2 + 89 and produces 28 units in order to maximize profits.Although the price of output does not change,the firm decides to build a second factory with the cost function c(y)=8y2 +39.To maximize its profits,how many units should it produce in the second factory?

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A competitive firm uses two variable factors to produce its output,with a production function q =min{x1,x2}.The price of factor 1 is $4 and the price of factor 2 is $1.Due to a lack of warehouse space,the company cannot use more than 15 units of x1.The firm must pay a fixed cost of $90 if it produces any positive amount but doesn't have to pay this cost if it produces no output.What is the smallest integer price that would make a firm willing to produce a positive amount?

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Irma's production function is f(x1,x2)=(min{x1,3x2})1/2.If the price of factor 1 is w1= $3 and the price of factor 2 is w2= $9,then her supply function is given by the equation

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Average fixed costs never increase with output.

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A firm's production function is f(x1,x2)=(min{x1,4x2})1/2.If the price of factor 1 is w1 = $5 per unit and the price of factor 2 is w2 = $8 per unit,then its supply function is given by the equation S(p)=

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Suppose that Dent Carr's long-run total cost of repairing s cars per week is c(s)= 3s2 + 108.If the price he receives for repairing a car is $18,then in the long run,how many cars will he fix per week if he maximizes profits?

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Mr.O.Carr has the cost function c(y)=y2 + 144 if his output,y,is positive and c(0)= 0.If the price of output is 18,Mr.Carr's profit-maximizing output is zero.

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A competitive firm produces its output according to the production function y = min{x2,100}.Let w be the price of the factor x,and let the price of output be $1.The demand for x,when the price of x is w,is

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