Exam 20: Cost Curves

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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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If Green Acres Turf Farm's total cost of producing acres of sod is TC = 5Q2 + 25Q + 40, the marginal cost of producing the 10th acre of sod is

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The production function of a competitive firm is described by the equation y = The production function of a competitive firm is described by the equation y =   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 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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I29. 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) = 500 + 560Q - 40Q2 + Q3 C2(Q) = 600 + 280Q - 20Q2 + Q3 Due to foreign competition, the market price of reclining chairs has fallen to $170. In the short run, firms using technology 1

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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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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's production function is given by q = min{M, A firm's production function is given by q = min{M,   }, where M is the number of machines and L is the amount of labor that it uses. The price of labor is $1and the price of machines is $2 per unit. The firm's long-run marginal cost curve is }, where M is the number of machines and L is the amount of labor that it uses. The price of labor is $1and the price of machines is $2 per unit. The firm's long-run marginal cost curve is

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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 goatherd has the cost function c(y) = 2y2, 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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Mary Magnolia from your workbook has variable costs equal to Mary Magnolia from your workbook has variable costs equal to   , where y is the number of bouquets she sells per month and where F is the number of square feet of space in her shop. If Mary has signed a lease for a shop with 600 square feet, if she is not able to get out of the lease or to expand her store in the short run, and if the price of a bouquet is $4 per unit, how many bouquets per month should she sell in the short run? , where y is the number of bouquets she sells per month and where F is the number of square feet of space in her shop. If Mary has signed a lease for a shop with 600 square feet, if she is not able to get out of the lease or to expand her store in the short run, and if the price of a bouquet is $4 per unit, how many bouquets per month should she sell in the short run?

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Not long ago, the Canadian edition of a famous textbook on principles of economics had a diagram depicting a U-shaped average fixed cost curve. This occasioned great mirth around the campfires of some economists in the Great White North and did much to shorten a long hard winter. Explain what is wrong with drawing a U-shaped average fixed cost curve.

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Average fixed cost curves will be U-shaped if the marginal cost curve is upward sloping.

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If marginal costs increase as output increases, then the average fixed cost curve will be U-shaped.

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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 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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The following relationship must hold between the average total cost (ATC) curve and the marginal cost curve (MC):

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A firm has the production function Q = A firm has the production function Q =   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 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 competitive firm has the short-run cost function c(y)= y3 -2y2 + 5y + 6. Write down equations for: a. The firm's average variable cost function b. The firm's marginal cost function c. At what level of output is average variable cost minimized? d. Graph the short-run supply function for this firm, being careful to label the key points on the graph with the numbers specifying the exact prices and quantities at these points.

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Touchie McFeelie's production function for comic books is (0.1) Touchie McFeelie's production function for comic books is (0.1)   , where J is the number of jokes and L is the number of hours of cartoonists labor that he uses. If Touchie can vary both jokes and cartoonists' labor and if old jokes cost $2 each and cartoonists' labor costs $18 per hour, then the cheapest way to produce comics books requires using jokes and labor in the ratio   = , where J is the number of jokes and L is the number of hours of cartoonists labor that he uses. If Touchie can vary both jokes and cartoonists' labor and if old jokes cost $2 each and cartoonists' labor costs $18 per hour, then the cheapest way to produce comics books requires using jokes and labor in the ratio Touchie McFeelie's production function for comic books is (0.1)   , where J is the number of jokes and L is the number of hours of cartoonists labor that he uses. If Touchie can vary both jokes and cartoonists' labor and if old jokes cost $2 each and cartoonists' labor costs $18 per hour, then the cheapest way to produce comics books requires using jokes and labor in the ratio   = =

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