Microeconomics: Principles & Policy
Microeconomics: Principles & Policy
14th Edition
ISBN: 9781337794992
Author: William J. Baumol, Alan S. Blinder, John L. Solow
Publisher: Cengage Learning
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1)A firm’s cost curve is C = F + 10q - bq2 + q3, where b> 0. a.At what output levels does the MC curve cross the AC and the AVC curves? b.Use calculus to show that the MC curve must cross the AVC at its minimum point.
Question 22 Consider the firm whose MC, AC, AVC, AFC functions are shown in the following graph. (The following is a description of the figure: This figure is a two-axis graph; in the horizontal line we measure output q, and in the vertical line dollars $; there are four curves. The first, MC starts at a positive level when q=0; more precisely, MC(0) is greater than 16 and lower than 30; then MC is decreasing for values of q in between 0 and 50; at 50 MC has a minimum; this minimum is MC(50)=10; after q=50, MC is increasing; in particular MC(100)=16, MC(120)=30. The second curve, AVC, starts at the same level of MC(0); it is decreasing when q is between 0 and 100; in this range AVC is above MC; at q=100, AVC crosses MC; more precisely, AVC(100)=MC(100)=16; for q>100, AVC is increasing and below MC. The third curve, AC, has a positive asymptote at zero, that is, it grows to plus infinity when q is very small; AC is decreasing when q is in between 0 and 120; in this range is above MC;…
Question 26 Consider the firm whose MC, AC, AVC, AFC functions are shown in the following graph. (The following is a description of the figure: This figure is a two-axis graph; in the horizontal line we measure output q, and in the vertical line dollars $; there are four curves. The first, MC starts at a positive level when q=0; more precisely, MC(0) is greater than 16 and lower than 30; then MC is decreasing for values of q in between 0 and 50; at 50 MC has a minimum; this minimum is MC(50)=10; after q=50, MC is increasing; in particular MC(100)=16, MC(120)=30. The second curve, AVC, starts at the same level of MC(0); it is decreasing when q is between 0 and 100; in this range AVC is above MC; at q=100, AVC crosses MC; more precisely, AVC(100)=MC(100)=16; for q>100, AVC is increasing and below MC. The third curve, AC, has a positive asymptote at zero, that is, it grows to plus infinity when q is very small; AC is decreasing when q is in between 0 and 120; in this range is above MC;…
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