Principles of Economics, 7th Edition (MindTap Course List)
Principles of Economics, 7th Edition (MindTap Course List)
7th Edition
ISBN: 9781285165875
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 5, Problem 9PA
To determine

Perfectly inelastic and unit elasticity of demand.

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The effective combined tax rate in a firm is 28%. An outlay of $2 million for certain new assets is under consideration. Over the next 9 years, these assets will be responsible for annual receipts of $650,000 and annual disbursements (other than for income tax) of $225,000. After this time, they will be used only for stand-by purposes with no future excess of receipts over disbursements. (a) What is the prospective rate of return before income taxes? (b)What is the prospective rate of return after taxes if straight-line depreciation can be used to write off these assets for tax purposes in 9 years? (c) What is the prospective rate of return after taxes if it is assumed that these assets must be written off for tax purposes over the next 20 years, using straight-line depreciation? Please write out each step with formulas and don't use Excel. The answers should be (a)15.4% (b) 11.5% (c) 10.0%, thank you
- 1. (Maximum length one page) Consider an infectious disease with the following characteristics: Individuals can exist in three states, susceptible, infected, and recovered. Once recovered, an individual cannot be re-infected and remains immune for life. The transmission rate, t, is 1/20. The recovery rate, k, is 1/5. Each person interacts randomly with others in the population and has contacts with 10 people each time period. There is no birth or death in the population. -Initially all people are susceptible. - No one dies from the disease and there is no treatment. a) Draw a compartmental model for this infectious disease.
Consider an obstetrician who can perform two types of deliveries: normal deliveries and cesarean deliveries. Each typeof delivery provides different levels of income for the physician, and the physician has some ability to induce patientsto opt for cesarean deliveries. The model is as follows:The physician’s utility is defined as:U = U(Y, I)where:• Y is the income from performing deliveries.• I is the total disutility from inducementThe income Y from deliveries depends on the type of delivery:Y = Yn · N + YC · Cwhere:• Yn is the income per normal delivery, Yn = 1, 000• YC is the income per cesarean delivery, Yc = 1, 500,• Initial number of births Binitial = 100,• Post-shock number of births Bshock = 90,• a(i) = 0.1 + 0.05i is the fraction of total births that are cesareans, which increases with inducement level i,• the physician sets the inducement level to i = 2.• N = B · (1 − a(i)) is the number of normal deliveries,• C = B · a(i) is the number of cesarean deliveriesDue to a…
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