Explanation Given information: The demand and supply curves are given by is q = 100 – 2 p and q = 3 p − 50 , respectively; the equilibrium price is $30 and the equilibrium quantity is 40 units. A sales tax of 5% is imposed on the consumer. Calculation: Since the 5% tax is imposed on the consumer the new price he pays is 1.05 ⋅ p, where p is the old price. This means that the new demand curve is, q = 100 − 2 ⋅ ( p + 5 100 ⋅ p ) = 100 − 2 ⋅ ( p + 0 To determine (b) To calculate: The new equilibrium price and quantity. To determine (c) To find: The amount that is paid in taxes on each unit and also find the amount that is paid by the consumer and calculate the amount that is paid by the producer. To determine (d) To find: The tax that the government collects.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 1.4, Problem 44P

To determine

(a)

To write:

The equation of the new demand and supply curves.

To determine

(b)

To calculate:

The new equilibrium price and quantity.

To determine

(c)

To find:

The amount that is paid in taxes on each unit and also find the amount that is paid by the consumer and calculate the amount that is paid by the producer.

To determine

(d)

To find:

The tax that the government collects.

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Chapter 1.4, Problem 43P

Chapter 1.4, Problem 45P

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4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval [,0) and being the null function on the interval [0,7). The Fourier series of f: (A) does not converge in quadratic norm to f(x) on [−π,π] (B) is pointwise convergent to f(x) for every x = R П (C) is in the form - 4 ∞ +Σ ak cos(kx) + bk sin(kx), ak ‡0, bk ‡0 k=1 (D) is in the form ak cos(kx) + bk sin(kx), ak 0, bk 0 k=1

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Chapter 1 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 1.1 - Prob. 1P Ch. 1.1 - Prob. 2P Ch. 1.1 - Prob. 3P Ch. 1.1 - Prob. 4P Ch. 1.1 - Prob. 5P Ch. 1.1 - Prob. 6P Ch. 1.1 - Prob. 7P Ch. 1.1 - Prob. 8P Ch. 1.1 - Prob. 9P Ch. 1.1 - Prob. 10P

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