Exam 20:Profit Maximization-Part A

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If a profit-maximizing competitive firm has constant returns to scale,then its long-run profits must be zero.

(True/False)
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A competitive firm produces a single output using several inputs.The price of output rises by $4 per unit.The price of one of the inputs increases by $2 and the quantity of this input that the firm uses increases by 8 units.The prices of all other inputs stay unchanged.From the weak axiom of profit maximization we can tell that

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The production function is f(x1,x2)=x1/21x1/22.If the price of factor 1 is $6 and the price of factor 2 is $12,in what proportions should the firm use factors 1 and 2 if it wants to maximize profits?

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If the price of the output of a profit-maximizing,competitive firm rises and all other prices stay constant,then the firm's output cannot fall.

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A competitive firm produces output using three fixed factors and one variable factor.The firm's short-run production function is q =154x -5x2,where x is the amount of variable factor used.The price of the output is $2 per unit and the price of the variable factor is $8 per unit.In the short run,how many units of x should the firm use?

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A competitive firm produces output using three fixed factors and one variable factor.The firm's short-run production function is q = 305x - 2x2,where x is the amount of variable factor used.The price of the output is $2 per unit and the price of the variable factor is $10 per unit.In the short run,how many units of x should the firm use?

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Diesel Dan is a contract truck driver.While his revenue is $2.50 per mile driven,the faster he drives,the greater the risk of a speeding ticket.The cost of driving his truck 1 hour at a speed of S miles per hour is C(S)= eS F - (60/5).To maximize his profit,Dan should drive

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If the short-run marginal costs of producing a good are $20 for the first 400 units and $30 for each additional unit beyond 400,then in the short run,if the market price of output is $24,a profit-maximizing firm will

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The production function is f(x1,x2)=x1/21x1/22.If the price of factor 1 is $10 and the price of factor 2 is $15,in what proportions should the firm use factors 1 and 2 if it wants to maximize profits?

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