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4 pages/β‰ˆ1100 words
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APA
Subject:
Mathematics & Economics
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Essay
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English (U.S.)
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Demand Estimation: Option 1 Writing Assignment

Essay Instructions:

Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April.
For a refresher on independent and dependent variables, please go to Sophia's Website and review the Independent and Dependent Variables tutorial, located at http://www(dot)sophia(dot)org/tutorials/independent-and-dependent-variables--3.
Option 1
Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.
QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M
(2.002) (17.5) (6.2) (2.5) (0.09) (0.21)
R2 = 0.55 n = 26 F = 4.88
Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:
Q = Quantity demanded of 3-pack units
P (in cents) = Price of the product = 500 cents per 3-pack unit
PX (in cents) = Price of leading competitor's product = 600 cents per 3-pack unit
I (in dollars) = Per capita income of the standard metropolitan statistical area
(SMSA) in which the supermarkets are located = $5,500
A (in dollars) = Monthly advertising expenditures = $10,000
M = Number of microwave ovens sold in the SMSA in which the
supermarkets are located = 5,000
Option 2
Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.
QD = -2,000 - 100P + 15A + 25PX + 10I
(5,234) (2.29) (525) (1.75) (1.5)
R2 = 0.85 n = 120 F = 35.25
Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:
Q = Quantity demanded of 3-pack units
P (in cents) = Price of the product = 200 cents per 3-pack unit
PX (in cents) = Price of leading competitor's product = 300 cents per 3-pack unit
I (in dollars) = Per capita income of the standard metropolitan statistical area
(SMSA) in which the supermarkets are located = $5,000
A (in dollars) = Monthly advertising expenditures = $640
Write a four to six (4-6) page paper in which you:

Essay Sample Content Preview:

Demand Estimation: Option 1
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Demand Estimation: Option 1 Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets. QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Q = 3-pack units P =cents per 3-pack unit PX = 600 cents per 3-pack unit I =$5,500 A = $10,000 M = 5,000 1] Compute the elasticities for each independent variable. Note: Write down all of your calculations.
Q = 3-pack units, P = 500cents per 3-pack unit, PX = 600 cents per 3-pack unit I =$5,500, A = $10,000, M = 5,000
QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88
QD = -5,200 – 42(500) +20(600) +5.2($5,500)+ 0.20($10,000)+0.25(5,000)= 17,650
Price elasticity= (P/Q) (Π²€†Q/Π²€†P)
In the regression line the price variable is -42
P=500 when Q=17,650
EP- Price elasticity= -42*(500/17,650) = -42*0.028329= -1.1898=-1.19
EA= 0.20* (10000/17650) = 0.11
EC= 20* (600/17560) = 0.68
EI = (5.2)*(5500/17650) =1.62
EM=0.25*(5,000/17,650) =0.07
2] Determine the implications for each of the computed elasticities for the business in terms of short-term and long-term pricing strategies. Provide a rationale in which you cite your results]
The price elasticity is -1.19, and measures the responsiveness of quantity demanded to price changes, it is reflected as percentage change in the quantity demanded to percentage change in price (WHO, n.d.). A1% drop in the quantity demanded will result with a 1.19% increase in quantity demanded.
The advertising elasticity is 0.11 and measures the responsiveness of good’s demand to changes in advertising expenditure. While expenditure on advertisements promotes sales it is to a lesser degree compared to the other levels of total sales and sales promotion activities. Since the elasticity of the microwave is 0.07 there is a small positive relationship between prices of the product and demand for microwaves.
Cross price elasticity is +0.68 and measures the responsiveness of demand for one good to change in the price of another good. When the Cross price elasticity>0 when the demand for the other good and price change in the same direction (Mcguigan, Moyer & Harris, 2014). A 1% increase in the price of one good leads to a +0.68% demand for the other, and there is high substitutionality. When making decisions on substitute products, it is important to consider how price changes affect the demand for each good. In any case, Cross price elasticity helps to determine products that are, complementary, directly competitive or substitute goods.
The income elasticity is 1.62 and indicates that a 1% change in income will result in a 1.62% change in consumption in the same direction. The quantity of goods demanded will increase when income rises as the price is elastic as more people can afford to pay for the products at higher prices when their incomes rise (WHO, n.d.).
In the option, the changes in price has indirect effects on the quantity of goods demanded, but advertising and income have a positive relation on the...
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