Exam 18: 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.

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The production function is given by F(L)= 6L2/3.Suppose that the cost per unit of labor is $16 and the price of output is $16.How many units of labor will the firm hire?

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The production function is given by f(x)=4x1/2.If the price of the commodity produced is $80 per unit and the cost of the input is $40 per unit, how much profits will the firm make if it maximizes profits?

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The marginal product of a factor is just the derivative of the production function with respect to the amount of this factor, holding the amounts of other factor inputs constant.

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Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election.Sleaze's share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads.If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits?

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During the height of the pet rock craze in the 1970s, the price elasticity of demand was estimated to be 1.20.Since pet rocks have a marginal cost of zero, a profit-maximizing seller of pet rocks would

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If the value of the marginal product of factor x increases as the quantity of x increases and the value of the marginal product of x is equal to the wage rate, then the profit-maximizing amount of x is being used.

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If the short-run marginal costs of producing a good are $40 for the first 200 units and $50 for each additional unit beyond 200, then in the short run, if the market price of output is $46, a profit-maximizing firm will

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The weak axiom of profit-maximizing behavior states that in a modern mixed economy, firms have only a weak incentive to maximize profits.

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Diesel Dan is a contract truck driver.While his revenue is $1.50 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 - (60/4).To maximize his profit, Dan should drive

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A competitive firm uses a single input x to produce its output y.The firm's production function is given by y =x3/2 for quantities of x between 0 and 4.For quantities of a greater than 4, the firm's output is y = 4 + x.If the price of the output y is $1 and the price of the input x is $3, how much x should the firm use to maximize its profit?

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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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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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