Solve step by step in digital format If the slope of the total income curve is given by 12-13q and if p=6 when q=4. Find: a) The function of total income as a function of q. b) The equation of the inverse demand cur
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Solve step by step in digital format
If the slope of the total income curve is given by 12-13q and if p=6 when q=4. Find:
a) The function of total income as a function of q.
b) The equation of the inverse demand curve.
Step by step
Solved in 4 steps
- According to economic theory, the demand x for a quantity in a free market decreases as the price p increases (see the figure). Suppose that the number x of DVD players people are willing dx (A) Find 9,000 to buy per week from a retail chain at a price of $p is given by x = 10 sp<70. 0.3p + 1' dx Answer parts (A), (B), and (C). dp 4500- (B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $30. Write a brief interpretation of these results. The demand is x = when the price is $30. 2250- 9,000 The instantaneous rate of change of demand with respect to price is when the price is X = 0.3p + 1 $30. Write a brief interpretation of these results. p. 0- 40 80 At a price level of $30, the demand is DVD players per week and demand is Price (dollars) V at the rate of (C) Use the results from part (B) to estimate the demand if the price is increased to $31. Demand .....The price of Pepsi changes from $4.75 to $1.00; initialy Yuval consumed 7 cups of pepsi per week and now consumes 18 cups of pepsi per week. Indicate whether the changes are negative or positive and keep 2 decimals. What is the percentage change in price? What is the percentage change in quantity? What is the Price Elasticity of Demand? (Enter a positive number) In this example, pepsi is an OElastic Olnelastic OUnitary Elastic good FI % %7.If pizza is a normal good, then which of the following could be the value of incomeelasticity of demand?
- . If average income increases, ceteris paribus, then there will be: A) a shift of the demand curve B) a movement along and a shift in the demand curve c) a movement along the demand curve D) no effect on the demand curve, because income is not a ceteris paribus conditionGiven the following data X (consumers of teff) or popn 3 6 8 1 13 13 14 Y ( teff consumption) 8 6 10 12 12 14 20 year 2013 2014 2015 2016 2017 2018 2019 Estimate the regression equation, Y= a+bX, Where Y denotes demand for teff while X is consumers of teff (population) By assuming demand for teff is only affected by its consumers, find the amount demand for teff in the year 2022 if the populations (consumers of teff) are about 18 people? (Hint: use the least square method, parameter a and b can be estimated by solving the two linear equations) SY= na+ bSX SXY=aSX +b Where n is number of years. For example, Estimate the sales for 2012, 2015 and fit a linear regression equation and draw a trend line.ar X Sales (Y) XY X2 year X Sales (Y) XY X2 2002 1 22734 22734 1 2003 2 24731 49462 4 2004 3 31489 94467 9 2005 4 44685 178740 16 2006 5 55319…The Law of Demand states that as the price of a good increases, ceteris penbus, the The relationship that exists between these two variables can be described as decreases. This can be shown graphically with demand curve or numericaly in a table using a 0
- The Globe and Mail (December 16, 1997) reported that milk consumption declined following price increases: “Since the early 1980s, the price of milk in Canada has increased 22 per cent. As prices rose, the demand for milk fell off. Total [consumption] of milk on a per capita basis dropped . . . to 2.62 hectolitres in 1995 from 2.92 hectolitres in 1986.” Use these data to estimate the price elasticity of demand for milk. (1.5marks) 0.49 milk is inelastic According to your estimate, what happens to milk producers’ revenue when the price of milk rises? (1 mark) When the price of milk rises milk producers revenue drop because the demand for milk dropped Why might your estimate of the elasticity be unreliable? (Hint: Notice that The Globe and Mail is careless about the distinction between demand and quantity demanded.) (1 mark)Ypsilanti Market Research conducted a survey to find out whether people who earn more money purchase more expensive goods. The following graph indicates the relationship between income the survey subjects earned and the price of the home that they purchased. PRICE (Thousands of dollars per home) 500 450 400 350 300 250 200 150 100 50 L 0 10 20 30 40 50 60 70 80 INCOME (Thousands of dollars per year) 90 100PepsiPepsi and CokeCoke are considered to be substitutesubstitute goods.Use the line drawing tool to show how an increasean increase in the price of PepsiPepsi affects the demand for CokeCoke. Label this new line 'D2'.
- The Globe and Mail (December 16, 1997) reported that milk consumption declined following price increases: “Since the early 1980s, the price of milk in Canada has increased 22 per cent. As prices rose, the demand for milk fell off. Total [consumption] of milk on a per capita basis dropped . . . to 2.62 hectolitres in 1995 from 2.92 hectolitres in 1986.” 1.Use these data to estimate the price elasticity of demand for milk. 2.According to your estimate, what happens to milk producers’ revenue when the price of milk rises? 3.Based on the information provided, why might your calculation of the elasticity be unreliableDirections: Analyze and compute problems. Write your answer on the answer sheet provided. 1. An individual consumer's monthly demand for downloadable e-books is given by the equation Qdeb 20.4peb +0.00051 +0.15Phb where Queb equals the number of e-books demanded each month, Peb equals the price of e-books, I equals the household monthly income, and Phb equals the price of hardbound books, per unit. Notice that the sign on the price of hardbound books is positive, indicating that when hardbound books increase in price, more e-books are purchased; thus, according to this equation, the two types of books are substitutes. Assume that the price of e-books is €10.68, household income is €2,300, and the price of hardbound books is €21.40. I Determine the number of e-books demanded by this household each month. 2 Given the values for I and Phb, determine the inverse demand function. 3 Determine the slope of the demand curve for e-books. 4 Calculate the vertical intercept (price-axis intercept)…b) Based on the information provided as per Demand Curve Below; Number of DVDs rented per week Explain the followings: i. DVD is a nomal product, the movement from Point A to B and vice versa, from Point B to A. The inmpact on the change of Income to the Demand Curve (D) 1. Rental price of DVDS ($)
