Exam 8: The Cost of Production

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The slope of the total variable cost curve equals the:

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Do you think the marginal cost curve of a petroleum refinery will be U-shaped? Explain your answer.

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When output expands from the fourth to the fifth unit,the total variable cost of production rises from $400 to $500,while the total fixed cost remains constant at $100.Compute the marginal cost of producing the fifth unit.

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Talco Inc. ,a manufacturer of steel pipes,uses 500 workers and 100 machines to produce 10,000 pipes,each 28mm thick,every day.Its operations research team reports that the marginal productivity of labor is 40 steel pipes while that of capital is 240 steel pipes.If workers are paid $8 per day and the rental cost of capital is $40 per day,examine whether the company is following the golden rule of cost minimization.

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Identify the example of sunk cost from the following.

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In the short run,a firm's marginal cost rises because of:

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For the cubic total cost function TC = a + bQ + cQ2 + dQ3,where a = 0,b = 25,c = -10,and d = 1,the marginal cost at an output of one unit equals:

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Suppose you quit your job as an accountant earning an annual salary of $50,000 to buy foreclosed homes,fix them up,and then resell them.You have $200,000 of your own money to invest in this,half of which you use to purchase three homes for a combined $500,000 (borrowing the remaining $400,000),and spend the remaining $100,000 of your money on materials.Over the course of one year you fix up all three homes and resell them for a total of $700,000.Assume that your loan to purchase the homes is payable in one lump sum at the end of one year.If you can borrow and lend money at a 6% annual rate of interest,what was your total cost of renovating these three homes?

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If fixed costs are $1,000 and variable costs are constant at $1.00 per unit over the relevant range of output,what will the average total cost be when 2,000 units are produced?

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At 30 units of output,the slope of a firm's average cost curve is recorded as +1.20.Calculate the firm's marginal cost at this output level if its average cost is $300.

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If fixed costs are $10,000 and variable costs are constant at $1.00 per unit over the relevant range of output,what will the average total cost be when 10,000 units are produced?

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Consider a graph with a total variable cost curve.Cost is on the vertical axis and output on the horizontal axis.The marginal cost can be represented by:

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The long-run average cost curve always:

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If total fixed costs are $1,000,variable costs are constant at $5.00 per unit over the relevant range of output and average total cost is $6,what is average fixed cost?

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Marico Corp.can manufacture 45,000 ball bearings per day at one of its production facilities.If the company uses the same facility for manufacturing rivets,a total of 30,000 rivets can be produced each day.Calculate Marico Corp.'s implicit cost per day of producing rivets at this facility.

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Consider the cost function C0 = 20L + 30K and production function Q = L0.3K0.7 of a firm.Derive the first order conditions if the firm is maximizing its output subject to the given cost constraint.

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At 20 units of output,the slope of a firm's average cost curve is recorded as +1.5.Calculate the firm's average cost at this output level if its marginal cost is $300.

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A total product curve whose slope is continually rising at an increasing rate:

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If total fixed costs are $1,000,variable costs are constant at $5.00 per unit over the relevant range of output and the average total cost is $6,how many units are being produced?

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If the marginal cost curve intersects the average variable cost curve at 1,000 units per day,the rate of output at which average total cost is minimized is _____.

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