Exam 6: Production Cost: One Variable Input

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Which of the following cost relationships hold in the short- run?

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Which of the following is a Cobb- Douglas production function?

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A competitive firm produces identical outputs at two different plants. If the marginal cost at the first plant is above market price and marginal cost at the second plant is less than market price, then to increase profit the firm should

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Marginal product:

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You have just been hired as the production manager of a Krispy Kreme donut shop. You produce donuts using labour and capital with a production function given by f(L,K)= L1/3K1/3. The rental rate of your donut machines is 16 and workers cost 2. Right now you are under contract to hire 27 workers regardless of the number of donuts you produce. How much capital should you rent to produce 3 doughnuts? 9 doughnuts?

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The MP of an input is not:

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Economic cost differs from accounting cost in that:

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Suppose a firm's short run total costs are given by: TC(y)= 3y2 + y + 500. i)What are the firm's variable costs? Fixed costs? ii)Calculate and graph the firm's short run average costs (SAC(y))and short run marginal costs (SMC(y)) iii)Calculate the point where SAC = SMC and mark it on your graph. What point on the SAC curve does this correspond to?

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What happens to the cost of growing crops on a particular farm when the land is rezoned from agricultural to industrial use and its price triples?

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Suppose that the MP of a variable input exceeds its AP at current input quantities. Then, if one more unit of the variable input is used, which of the following is false?

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In the short run:

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The law of diminishing marginal productivity implies that when one input is variable while others are fixed:

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The AP of an input at some given quantity of the input is not:

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Suppose that you are on your way to your $15/hr job and as you get off the bus, which you paid $2.50 to ride, the smell of the hotdog stand overwhelms you and you stand in line for 10 minutes to buy a smokie for $3. How much was the smokie?

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Figure 6A Figure 6A   -Under the free disposal assumption, an output maximizing firm using Figure 6A would want to use: -Under the free disposal assumption, an output maximizing firm using Figure 6A would want to use:

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Let y* denote the level of output for which AP of a variable input reaches a maximum. Then:

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Variable cost may be defined as:

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If STC = 7q3 + 3q + 7, then VC is:

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Profit maximizing firms produce their output:

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Which of the following is the most reasonable production function for bicycles (b)made of frames (f), handlebars (h), seats (s), and wheels (w)? (Note: frames include pedals, gears, and other parts.)

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