Exam 20: Cost Curves-Part A

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Average cost can never rise while marginal costs are declining.

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The production function of a competitive firm is described by the equation y = 8x1/2 1x1/2 2.The factor prices are p1 = $1 and p2 =$4 and the firm can hire as much of either factor it wants at these prices.The firm's marginal cost is

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The cost function C(y)= 10 + 3y has marginal cost less than average cost for all levels of output.

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The cost function C(y)= 100 + 3y2 has marginal cost less than average cost for all positive levels of output.

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If Green Acres Turf Farm's total cost of producing acres of sod is TC = 4Q2 + 25Q + 30, the marginal cost of producing the 20th acre of sod is

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A competitive firm has the short-run cost function c(y)= 2y3 - 16y2 + 64y + 50.The firm will produce a positive amount in the short run if and only if the price is greater than

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The production function of a competitive firm is described by the equation y = 4x1/2 1x1/2 2.The factor prices are p1 = $1 and p2 = $36 and the firm can hire as much of either factor it wants at these prices.The firm's marginal cost is

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North American Manufacturing has the production function Q = min{0.25K, 0.5L}, where K is units of capital and L is hours of labor. a.Without any warning, the price of capital doubles.What should North American Manufacturing do in response? b.If North American were planning a new manufacturing plant, would there be any advantages to a larger facility?

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A firm has the long-run cost function C(Q)= 4Q2 + 196.In the long run, it will supply a positive amount of output, so long as the price is greater than

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In the reclining chair industry (which is perfectly competitive), two different technologies of production exist.These technologies exhibit the following total cost functions: C1(Q)= 1,000 + 600Q - 40Q2 + Q3 C2(Q)= 200 + 145Q- 10Q2 + Q3 Due to foreign competition, the market price of reclining chairs has fallen to $190.In the short run, firms using technology 1

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A firm has the long-run cost function C(Q)= 4Q2 + 64.In the long run, it will supply a positive amount of output, so long as the price is greater than

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Florence's Restaurant estimates that its total costs of providing Q meals per month is given by TC = 8,000 + 6Q.If Florence charges $7 per meal, what is its break even level of output?

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The marginal cost curve of a firm is MC = 6y.Total variable costs to produce 10 units of output are

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A firm has the short-run total cost function c(y)= 9y2 + 144.At what quantity of output is short-run average cost minimized?

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A firm has the production function Q = X1/21X2.In the short run it must use exactly 35 units of factor 2.The price of factor 1 is $105 per unit and the price of factor 2 is $3 per unit.The firm's short-run marginal cost function is

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A firm has a short-run cost function c(y)= 3y + 11 for y = 0 and c(0)= 8.The firm's quasi-fixed costs are

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A goatherd has the cost function c(y)= 4y2, where y is the number of tubs of goat cheese she makes per month.She faces a competitive market for goat cheese,with a price of $40 a tub.How many tubs should she produce per month?

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The VCR manufacturing business is perfectly competitive.Suppose that currently, firms that manufacture VCRs utilize either technology 1 or technology 2, whose cost functions are TC1(Q)= 1,120 - 60Q + Q2 TC2(Q)= 300 - 20Q + Q2 In the long run, assuming no new manufacturing technologies,what will happen in this industry?

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The area under the marginal cost curve measures total fixed costs.

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Mr.Dent Carr's total costs are 2s2 + 40s + 40.If he repairs 10 cars, his average variable costs will be

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