The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013. Year 2012 2013 Selling Price ($) Sales (millions) 928 1,144 375 335 (a) Use the data to obtain a linear demand function for this type of cell phone. (Let p be the price, and let q be the demand). q(p) = -5.4p + 3185 X Use your demand equation to predict sales if the price is lowered to $255. 1808 X million phones
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- (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?Spreadsheet exercises. Suppose that the market for video games is competitive with demand function Qd = 130 − 4p + 2Y + 3pm − 2pc, where Qd is the quantity demanded, p is the market price, Y is the monthly budget that anaverage consumer has available for entertainment, pm is the average price of a movie, and pc is the price of a controller that is required to play these games. Given that Y = $100, pm = $30, and pc = $30, use Excel to calculate quantity demanded for p = $10 to p = $80 in $5 increments. Use Excel’s charting tool to draw the demand curve. Let Y = $100, pm = $30, and pc increase to $40. Recalculate the demand schedule in part 1 and use Excel to draw the new demand curve.Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.
- Question #2 Consider the following demand function for frozen dinners where QD is the quantity of frozen dinners demanded per week, P is the price per frozen dinner, PF is the price per fast food meal, Y is the average yearly consumer income, and A is the number of advertisements for frozen dinners. Demand Function for Frozen Dinners: QD = 1,000 – 10P + 20PF – 0.01Y + A Suppose that a frozen dinner sells for $4, a fast food meal sells for $6, average yearly consumer income is $50,000, and that there are 20 advertisements for frozen dinners. Calculate and interpret the income elasticity of demand. Calculate and interpret the cross-price elasticity of demand with respect to fast food meals.Subject: Manegerial Economics & Policy The maker of a leading brand of low-calorie microwavable food estimated the following demand equation for its product using data from 26 supermarkets around the country for the month of April: Q = -5,200 - 42P + 20PX + 5.2l + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Assume the following values for the independent variables: Q = Quantity sold per month P (in cents) = Price of the product = 500 PX (in cents) = Price of leading competitor’s product = 600 I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarket is located = 5,500 A (in dollars) = Monthly advertising expenditure = 10,000 M = Number of microwave ovens sold in the SMSA in which the supermarket is located = 5,000 Using this information, answer the following questions: Compute elasticities for each variable. Do you think that this firm should cut its price to increase its market…Subject: Manegerial Economics & Policy The maker of a leading brand of low-calorie microwavable food estimated the following demand equation for its product using data from 26 supermarkets around the country for the month of April: Q = -5,200 - 42P + 20PX + 5.2l + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Assume the following values for the independent variables: Q = Quantity sold per month P (in cents) = Price of the product = 500 PX (in cents) = Price of leading competitor’s product = 600 I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarket is located = 5,500 A (in dollars) = Monthly advertising expenditure = 10,000 M = Number of microwave ovens sold in the SMSA in which the supermarket is located = 5,000 Using this information, answer the following questions: (remaining parts) Interpret your results for each variable. What proportion of the variation in sales is explained by the…
- Subject: Manegerial Economics & Policy The maker of a leading brand of low-calorie microwavable food estimated the following demand equation for its product using data from 26 supermarkets around the country for the month of April: Q = -5,200 - 42P + 20PX + 5.2l + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Assume the following values for the independent variables: Q = Quantity sold per month P (in cents) = Price of the product = 500 PX (in cents) = Price of leading competitor’s product = 600 I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarket is located = 5,500 A (in dollars) = Monthly advertising expenditure = 10,000 M = Number of microwave ovens sold in the SMSA in which the supermarket is located = 5,000 Using this information, answer the following questions: (remaining parts) Do you think that this firm should cut its price to increase its market share/revenue? Explain. What…20. The general linear demand for good X is estimated to beQ = 1 8 , 0 0 0 − 1 7 5 P + 0 . 3 5 M − 1 6 PR where P is the price of good X, M is average income of consumers who buy good X, and PR is the price of related good R. The values of P, M, and P R are expected to be $65, $52,000, and $100, respectively. Use these values at this point on demand to make the following computations. a. Calculate the price elasticity of demand E for the given values of P, M, and PR. How would increasing the price of X affect total revenue? Explain. b. Calculate the income elasticity of demand EM. Is good X normal or inferior? Explain how a 1.75 percent decrease in income would affect demand for X? c. Calculate the cross-price elasticity EXR. Are the goods X and R substitutes or comple- ments? Explain how a 2.5 percent increase in the price of related good R would affect demand for X?Assume that the market of pens consists of three consumers who's demand curves are P=15-0.5Qa. P=5-0.111Qb and P=5-0.2Qc. The supply function given is P=5-0.25Qs.a) calculate the market price and output for pens for the month of March 2023 and show your answer graphically.
- Other Companies (Part 2) You directed your research department to do some research on the demand for Tesla sedans. They selected BMW i3 Sedans and Chevy Bolts as comparative offerings. Using regression analysis, the research department comes up the following estimate for yearly demand. Qx = -40,000 -1*Px +0.02*M +2*PB +2*PC Where: Px = $70,000, M = $150,000, PB = $65,000, PC = $40,000 a. Is the own price elasticity of demand for Tesla sedans at the point defined above elastic or inelastic? If Mr. Musk decides to raise his prices, what will happen to his revenue. b. PB and PC represent the price for i3 sedans and Bolt sedans respectively. Are these items compliments or substitutes when compared to Teslas? Give evidence to support your answer. c. Is the demand for Tesla sedans elastic or inelastic to price changes of BMW i3 and Bolt at the price points given in the problem? Interpret the result you find and explain what it means.A local store will buy 20 doorbell cameras from a supplier if the price is $77 each. If the price drops to $27 , then the store will buy 30 . The supplier is willing to sell 66 doorbell cameras for the price of $50.50 each, but only 49 at a price of $42.00 each. Find the supply and demand functions and the market equilibrium point. Assume both the supply and demand are linear. Use integers, fractions or decimals to describe the slopes and p-intercepts. A) What is the equation for the demand? p= B) What is the equation for the supply? p= c) What is the market equilibrium point?Explain in detailsA TV channel has estimated the demand for its service to be given by the following function: Q=9.83p-1.2A2.5Y1.6P0-1.4 where Q = monthly sales in units P = price of the service in $ A = promotional expenditure in $’000 Y = average income of the market in $’000 P0 = price of ‘home movies’ in $ The current price of the TV channel is $60, promotional expenditure is $120,000, average income is $28,000, and the price of ‘homemovies’ is $45. Indicate whether the following statements are true or false, giving your reasons and making the necessary corrections e. ‘Home movies’ are a substitute for the TV channel.f. A 5 per cent increase in income will increase demand by 16 per cent.g. A 10 per cent increase in price will reduce demand by 12 per cent.h. Current sales are over a million units a month. i. The demand curve for the channel is given by:Q=9.83p-1.2j. The channel’s sales are more affected by the price of ‘home movies’ than by the price of its own service.k. If the channel increases its…