Exam 21: Firm Supply-Part A

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A firm has the long-run cost function C(q)= 7q2 + 175.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 produces one output, using one input, with the production function f(x)= 2x1/3, where x is the amount of input.The cost function for this firm is proportional to the price of the input times the cube of the amount of output.

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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 = $5 and the price of factor 2 is w2 = $20, then her supply function is given by the equation

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A competitive firm produces its output according to the production function y = min{x1/2, 10}.Let w be the price of the factor x, and let the price of output be $1.The demand for factor x, when the factor price is w, is

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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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Mr.O.Carr has the cost function c(y)= y2 + 64 if his output, y, is positive and c(0)= 0.If the price of output is 12, Mr.Carr's profit-maximizing output is zero.

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Suppose that Dent Carr's long-run total cost of repairing s cars per week is c(s)= 3s2 +12.If the price he receives for repairing a car is $24, then in the long run, how many cars will he fix per week if he maximizes profits?

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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 = $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 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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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 $5.Due to a lack of warehouse space, the company cannot use more than 17 units of x1.The firm must pay a fixed cost of $136 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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A firm has the long-run cost function C(q)= 3q2 + 27.In the long run, it will supply a positive amount of output, so long as the price is greater than

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A competitive firm has a long-run total cost function c(y)= 5y2 + 1,125 for y > 0 and c(0)= 0.Its long-run supply function is described as

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In a perfectly competitive industry, the demand curve for the total output of the industry may be downward sloping.

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Marge Costa produces plastic dog dishes using a process that requires only labor and plastic as inputs and has constant returns to scale.With the process she is currently using, a laborer can turn out 30 dog dishes an hour.The wage rate is $9 per hour.The plastic in a dog dish costs Marge $.10.She has no other costs besides labor and plastic.Marge faces a perfectly competitive market for plastic dog dishes, and she decides that she is maximizing profits when she makes 300 dog dishes an hour.What is the market price of dog dishes?

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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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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 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{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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The area under the marginal cost curve measures total variable costs.

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