Economics: Private and Public Choice (MindTap Course List)
15th Edition
ISBN: 9781285453538
Author: James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher: Cengage Learning
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Chapter 23, Problem 3CQ
To determine
The determinants of the variety of style, shape, and design of the products in the market.
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Exercise 1
Assess the following functions:
1. f(x)= x2+6x+2
2.f '(x)=10x-2x2+5
a. Find the stationary points. (5 marks)
b. Determine whether the stationary point is a maximum or minimum. (5 marks)
c. Draw the corresponding curves (5 marks)
Problem 2:
The sales data over the last 10 years for the Acme Hardware Store are as follows:
2003
$230,000
2008
$526,000
2004
276,000
2009
605,000
2005
328,000
2010
690,000
2006
388,000
2011
779,000
2007
453,000
2012
873,000
1. Calculate the compound growth rate for the period of 2003 to 2012.
2. Based on your answer to part a, forecast sales for both 2013 and 2014.
3. Now calculate the compound growth rate for the period of 2007 to 2012.
1. Based on your answer to part e, forecast sales for both 2013 and 2014.
5. What is the major reason for the differences in your answers to parts b and d? If you were to
make your own projections, what would you forecast? (Drawing a graph is very helpful.)
Chapter 23 Solutions
Economics: Private and Public Choice (MindTap Course List)
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- Name: Problem 1: Managerial Economics, Assignment 5 April 20, 2025 If the sales of your company have grown from $500,000 five years ago to $1,050,150 this year, what is the compound growth rate? If you expect your sales to grow at a rate of 10 percent for the next five years, what should they be five years from now?arrow_forward1. In this question, assume all dollar units are real dollars in billions. For example, $100 means $100 billion. Argentina thinks it can find $105 of domestic investment projects with a marginal product of capital (MPK) equal to 10% (each $1 invested in year 0 pays off $0.10 in every later year). Assume a world real interest rate r*is 5%, and initial external wealth W (W in year -1) is 0. a. You find that the formula on the lecture slide: > r*, which means that a country will ΔΟ AK take on investment projects as long as the marginal product of capital (MPK) is at least as high as the real interest rate. Using this formula, answer if Argentina should conduct the project. b. If the projects are not done, GDP = Q = C = $200 in all years. Compute the present value of Q and C. c. If Argentina conducts the projects (investing $105), what is the present value of Q and C? d. If Argentina conducts the projects, what is the present value of C? Is Argentina better off with the investment?arrow_forward2. Consider a world of two countries: Highland (H) and Lowland (L). Each country has an average output of 9 and desires to smooth consumption. All income takes the form of capital income and is fully consumed each period. Initially, there are two states of the world: Pandemic (P) and Flood (F) each occurring with 50% probability. Pandemic affects Highland and lowers the output there to 8, leaving Lowland unaffected with an output of 10. Flood affects Lowland and lowers the output there to 8, leaving Highland unaffected with an output of 10. a. Assume that households in each country own the entire capital stock of their own land. Fill in the numbers on the following table. Pandemic Highland's income Lowland's income Flood Variation about the mean b. Assume that each country owns 50% of the other country's capital. Fill in the numbers on the following table. Pandemic Flood Variation about the mean Highland's income Lowland's income c. Compare your answer to (a) and (b). Does…arrow_forward
- 3. This question explores IS and FX equilibria in a numerical example. a. The consumption function is C = 1.5 + 0.8(Y - T). What is the marginal propensity to consume (MPC)? What is the marginal propensity to save (MPS)? b. The trade balance is TB = 5 [1-()] - (0.2(Y-8). What is the marginal propensity to consume foreign goods (MPCF)? What is the marginal propensity to consume home goods(MPCH)? c. The investment function is I = 3 - 10i. What is investment when the interest rate is equal to 0.10=10%. d. Assume government spending is G. Add up the four components of demand and write down the expression for D. Make sure that you simplify the equation. e. Derive the equation for the good market equilibrium using Y = D.arrow_forward1. A firm has the following demand function: P = 60 – 0.5Q and its total cost is defined by TC= 13+ Qa. Find the maximum revenue b. Find the production to optimize the profit. c. Verify if the marginal revenue and marginal cost are the same at the profit-maximizing productionlevel. Exercise 6From the point of view of the firm, what decision criteria have been found relevant in the analysis ofproduction and profit? Provide two refernces with your answer.arrow_forward5. Some people find options expensive and use more complex structures to reduce the cost. For example, consider buying a call with a strike of $55 and selling a call with a strike of $60. a. What is the cost of establishing this combined position? b. What is the payoff of the combined position if the market price goes to $60? c. What is the payoff of the combined position if the market price goes to $100?arrow_forward
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