ECON 100A Lecture Notes - Lecture 12: Substitute Good

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2 Nov 2016

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) 1/ s. t. p1q1 + p2q2 = i: 1/ (q1, 1/ (q1. ) 1/ -1 q1 -1 - p1 = 0. ) 1/ -1 q2 -1 - p2 = 0. (q1 / q2) -1 = p1 / p2. Q1 / q2 = (p1 / p2) 1 / (1- ) Q1 = q2 (p1 / p2) 1/ ( -1) I = p1q2 (p1 / p2) 1/ ( -1) + p2q2. ) 1/ -1 q2 -1) / (1/ (q1. Power of p1: 1 + 1 / ( -1) = ( -1 + 1) / -1 = / 1. Max q1,q2 aq1 + bq2 s. t. p1q1 + p2q2 = i. = aq1 + bq2 + (i - p1q1 - p2q2) F. o. c: a - p1 = 0, b - p2 = 0, i - p1q1 - p2q2 = 0. A / b = p1 / p2. Doesn"t necessary hold because of the assumption that a = p1, b = p2.

Related Questions

1. What is the capitalized value of an infinite series of $1,000 biennial (every two years) payments? MARR = 10%

		$4,950
		$4,025
	.	$4,350
		$4,762

2. Frank West Enterpises would like to choose one of the following plans for expansion. Using present worth analysis, find the best alternative among the three alternatives and the Do-Nothing.

	Alt. A	Alt. B	Alt. C
Initial Cost	$10,000	$21,000	$8,000
EUAB	$6,000	$7,000	$4,000
EUAC	$1,500	$1,000	$2,000
Salvage Value	$2,000	$8,000	$3,000
Life	2 Years	3 Years	2 Years

Use a MARR of 10%.

	.	Do-Nothing
	.	Alt. C
	.	Alt. B
	.	Alt. A

U. S. Engineering is investigating the possibility of acquiring new automated packaging equipment at a cost of $12,000. It is expected that the equipment will have a salvage value of $1,000 at the end of its useful life of 10 years. It is determined by the plant engineering department at the company that the operation and maintenance cost will be $500 in the first year and will gradually increase every year starting year 2 at the rate of $50 until the equipment is retired. Determine the equivalent uniform annual cost (EUAC) if MARR for the company is 10%.

		$2,575.95
		$2,150.50
	.	$2,176.60
	.	$2,184.40

The cash flows given in table below are for two different alternatives. MARR =10%

Data	C	D
Initial Cost	$20,000	$80,000
Uniform Annual Benefits	$6,000	$10,000
Salvage Value	$5,000	$20,000
Useful Life in years	5	infinity

The equivalent uniform annual worth (EUAW) of alternative N is ______________.

Hint: Assume the Salvage Value is never realized since N is infinite.

		$2,000
		$1,920
		$1,762
		$2,476

Compare the following plans using a MARR of 6%.

Data	Plan X	Plan Y
Equipment First Cost	$50,000	$75,000
Annual Operation & Maintenance Cost	$3,000	$2,500
Salvage Value	$10,000	$0
Service Life, Years)	25	50

		$6,728; $7,255
		$7,255; $9,000
	.	$6,728; $7,728
	.	$6,728; $8,200

LAEP, Inc. wants to evaluate two methods of shipping their products. The following cash flows are associated with each alternative:

Data	Method
	A	B
Life (Years)	10	10
First Cost	$700,000	$1,512,000
M&O Cost	$18,000	$9,000
M&O Cost Gradient	$900	$775
Annual Benefit	$154,000	$303,000
Salvage Value	$142,000	$210,000

Annual profits are based on amount of products which can ordinarily be shipped each year as a function of the amount of vehicles or service purchased with the first cost and the M&O costs.

Using a MARR of 15%, calculate the equivalent uniform annual cash flow (EUAB - EUAC) for each alternative.

Determine the most desirable alternative based on the results.

		$389.57, $445.90; Method A
		$445.90, $389.57; Method A
	.	$445.90, $389.57; Method B
	.	$389.57, $445.90; Method B

For the cash flow diagram shown, which of the following equations properly calculates the uniform equivalent (A)?

n	0	3	6	9	12	15
Dollars	$100	$100	$100	$100	$100	$100

		A=100(A/P,i,15)+ 100(A/F,i,3)
		A=100(A/P,i,15)
		A=100(A/F,i,3) + 100(A/F,i,15)
		A=100(A/P,i,3) + 100(A/F,i,3)

Three different alternatives shown in table below are being considered by U. S. Engineering systems.

Assume that alternatives X and Z are replaced at the end of their lives.

Data	Alternative X	Alternative Y	Alternative Z
Initial Cost	$6,000	$1,000	$1,500
Uniform Annual Benefits	$810	$125	$ 230
Useful Life in Years	20	infinite	10
MARR	12%

The NPW for alternative

1. You are given only three quarterly seasonal indices and quarterly seasonally adjusted data for the entire year. What is the raw data value for Q4? Raw data is not adjusted for seasonality.

Quarter Seasonal Index Seasonally Adjusted Data

Q1 .80 295

Q2 .85 299

Q3 1.15 270

Q4 --- 271

2. One model of exponential smoothing will provide almost the same forecast as a liner trend method. What are linear trend intercept and slope counterparts for exponential smoothing?

A. Alpha and Delta

B. Delta and Gamma

C. Alpha and Gamma

D. Standard Deviation and Mean

3. When performing correlation analysis what is the null hypothesis? What measure in Minitab is used to test it and to be 95% confident in the significance of correlation coefficient.

A. Ho: r = .05 p < .5

B. Ho: r = 0 p >.05

C. Ho: r ? 0 p?.05

D. Ho: r = 0 p?.05

In decomposition what does the cycle factor (CF) of .80 represent for a monthly forecast estimate of a Y variable?

A. The estimated value is 80% of the average monthly seasonal estimate.
B. The estimate is .80 of the forecasted Y trend value.
C. The estimated value is .80 of the historical average CMA values.
D. The estimated value has 20% more variation than the average historical Y data values.

5. A Wendy's franchise owner notes that the sales per store has fallen below the stated national Wendy's outlet average of $1,368,000. He asserts a change has occurred that reduced the fast food eating habits of Americans. What is his hypothesis (H1) and what type of test for significance must be applied?

A. H1: u ? $1,368,000 A one-tailed t-test to the left.
B. H1: u = $1,368,000 A two-tailed t-test.
C. H1: u < $1,368,000 A one-tailed t-test to the left.
D. H1: p < $1,368,000 A one-tailed test to the right

6. As the sample size from a population increases, for a given level of significance what happens to the null hypothesis rejection region and size of the t-table value?

A. The rejection region and the t-table value generally gets smaller for sample size below 31.
B. The rejection region gets larger and the t-table value generally gets smaller for sample sizes below 31.
C. The rejection region remains unchanged while the t-table value gets smaller for all sample sizes.
D. The zero mean hypothesis region gets larger and the t-table value gets larger as well for sample sizes below 31.

7. You obtained autocorrelation LBQ value of 18.58 for the 12^th lag from a data sample. Are the data significantly correlated at the lag examined or not? You want to be 95% confident in your answer.

A. Yes. The data are significantly correlated through the 12th lag.
B. No. The data are not significantly correlated through the 12^th lag.

C. No. Only the 12 lag period is not correlated.

D. You cannot tell since the number of sample observations is not provided.

E. The p-value is above .05 so the data is correlated.

8. Sometimes forecasters get lazy or forgetful and do not check the significance of XY data correlations and use the X variable to forecast Y. What is the result of this?

A. Type 2 error
B. Autocorrelation error
C. Type 3 error
D. Type 1 error

9. Do error measures indicate the statistical significance of forecast model variables?

A. Yes. They move in the same direction as statistical significance.
B. Yes. As error measures decrease the variable significance increases.
C. No They indicate only the magnitude of estimate error.
D. No. They indicate only the statistical significance of a forecast or fitted values.

10. In exponential smoothing what is the weight of the alpha coefficient for a time series data observation from the 3^rd previous period if the original alpha value is set at .8?

A. The weight cannot be calculated since the data observation is not given.
B. The weight is zero since the alpha value is set relatively high.
C. .548
D. .0064

11.Given the data series below for variables Y (Monthly Inventory Balance) and X (Monthly Sales) are they significantly correlated at the 95% confidence level and how can you tell?

Ending Inv. Bal. Y		Monthly Sales X
1544		5053
1913		5052
2028		7507
1178		2887
1554		3880
1910		4454
1208		3855
2467		8824
2101		5716

A. Yes. The correlation coefficient is .873 that is greater than .05.
B. Yes. The correlation p-value is .002 which is less than .05.
C. No. The correlation coefficient is above the p-value.
D.No. The correlation p-value is greater than the 95% confidence level.

12. You have forecast the sales for your company for the last 12 months and the forecast residuals are shown below. Are these residuals to be considered random?
Residuals

-24

-348

-892

-62

-378

-489

-342

490

578

198

A. Yes, since the residuals randomly vary in magnitude.
B. Yes since the residuals are positive and negative and vary in magnitude.
C. No, since the residuals are stationary and vary in magnitude.
D. No, since the residuals indicate positive slope.

13. Given the residuals in problem 12 above what is the RMSE for the forecast?

A. -101.0
B. 411.8
C. 169603
D. 220.1

14. Which form of exponential smoothing can result in a na

Match the definitions or complete the statements in the first part of the quiz with the appropriate terms found in the second part.

Definitions/Statements

1. _____ refers to marketersâ focus on a product rather than on the needs of the market.

2. _____ companies do not try to persuade consumers to buy what the firm has already produced, but rather to produce only products that they know they can sell, thereby satisfying consumersâ needs and turning them into loyal customers.

3. The impact of technology on buyer behavior relates to factors such as ____; the use of technology to engage customers and build relationships; customization of products and promotional messages; and better prices and distribution.

4. In the case of situational influences, this relates to the situation in which or the occasion on which the product will be used, e.g., special occasion or everyday use.

5. In the case of situational influences, this relates to the fact if we are in a store, point-of-purchase displays could influence us to buy something. We could also make unplanned purchases because we remembered something from seeing the brand while we are in the store.

6. This discipline on which consumer researchers draw focuses on society and large groups in society such as family and social class.

7. This discipline on which consumer researchers draw focuses on cultures and differences among cultures.

8. These are temporary circumstances that affect consumer purchase decisions.

9. In the case of situational influences, this refers to the fact that the person and the occasion for which we are buying something influence our purchase decisions.

10. According to the simple model of consumer decision making, reference groups, family, social class, culture, and subculture are among the _____ on buyer behavior.

11. According to the simple model of consumer decision making, motivation, personality trait, perception, and attitudes are among the _____ on buyer behavior.

12. According to the simple model of consumer decision making, advertising, buzz agents, customized messages, social media, and word-of-mouth are examples of ____.

13. This discipline on which consumer researchers draw focuses on behavior in small groups and helps consumer researchers to understand issues such as opinion leadership, diffusion of innovations, and communication.

14. In the case of situational influences, ______ are consumer mood states or physiological state (for example, hunger, thirst) that influence consumer decision-making.

15. The selection of one or more segments by a marketer to serve.

16. Developing a distinct image for a brand in the mind of consumers.

17. This is an effort by a marketer to change the existing perception that consumers have of a brand.

19. ___ segmentation involves segmenting based on variables such as urban, rural, suburb, state, cities, counties, and regions.

20. ____ segmentation is based on variables such as consumersâ lifestyles as indicated by their activities, interests, and opinions.

21. This criterion for effective targeting says that marketers should have some way of deciding which consumers fall into which segments.

22. This criterion for effective targeting says that marketers should be able to reach segments with appropriate media and distribution channels.

23. This is the most popular segmentation system combining lifestyles and values of consumers.

24. This household segmentation model is based on a combination of geographic and demographic information and the principle that âBirds of a feather flock together.â

25. ______ is defined as âsending consumers personalized and prompt offers and promotional messages designed to reach the right consumers and deliver to them highly relevant messages at the right time and more accurately than when using conventional segmentation techniques.â

Terms

A. Positioning

B. Accessibility

C. Anthropology

D. Situational influences

E. Consumption situation

F. Task definition

G. Identification

H. Marketing-oriented

I. Targeting

J. Psychographic

K. Marketing myopia

L. PRIZM

M. Interactive and novel communication channels

N. Sociology

O. Demographic

P. Purchase situation

Q. Behavioral targeting

R. Antecedent states

S. Communication sources

T. Geographic

U. Sociocultural influences

V. VALS

W. Psychological influences

X. Social psychology

Y. Repositioning

ECON 100A Lecture Notes - Lecture 12: Substitute Good

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