For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. Suppose that the price p in $ of theater tickets is influenced by the number of tickets x offered by the theater and demanded by consumers. Supply: p = 0.025 x Demand: p = − 0.04 x + 104 a. Solve the system of equations defined by the supply and demand models. b. What is the equilibrium price? c. What is the equilibrium quantity?
For Exercises 69-70, refer to Figure 8-1 and the narrative at the beginning of this section. Suppose that the price p in $ of theater tickets is influenced by the number of tickets x offered by the theater and demanded by consumers. Supply: p = 0.025 x Demand: p = − 0.04 x + 104 a. Solve the system of equations defined by the supply and demand models. b. What is the equilibrium price? c. What is the equilibrium quantity?
Solution Summary: The author calculates the solution of the system of equations defined by the supply and demand models.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
University Calculus: Early Transcendentals (4th Edition)
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