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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- When sold for $790.00, a certain desktop has an annual supply of 129.5 million computers and an annual demand of 155.5 million computers. When the price increases to $865.00, the annual supply increases to 147.5 million computers, and the demand drops to 134.5 million computers. NOTE: Round slope and vertical intercept to 4 decimal places and use those rounded values to the end. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p = Demand Equation p = esc (Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions). The slope and y-intercept should be accurate to 4 decimal places). (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q = 9- F2 A (Note: The equilibrium price should be accurate to 2 decimal places and quantity should be rounded to the nearest whole number, and the equilibrium price should include a…When the price of a gallon of milk increases from $6 to $8, quantity demanded decreases to 27 gallons. Assuming the price elasticity of demand for milk is -0.3, what is the original quantity demanded? (assuming further that this is the point elasticity relative to the original point on the demand curve.) Please make sure you give a numerical answer with no units and/or space or period (.) or comma (,) before or after your answer. Enter your answer hereA 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…
- Suppose the demand function for product X is estimated by the equation: QDX= -2PX + 0,5PY - 0,2PZ + 1,2I. In there:QDX is the quantity demanded of product XPX is the price of product XPY is the price of product YPZ is the price of product ZI is the average income of consumersa/ Please make an argument to determine the relationship between two products X and Y, X and Z.b/ Please make an argument to determine whether product X is an ordinary good or a low-end goodProducers of a certain brand of refrigerator will make 1600 refrigerators available when the unit price is $320. Ata unit price of $370, 5600 refrigerators will be marketed. Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear How many refrigerators will be marketed when the unit price is s4207 refrigerators What is the lowest price at which a refrigerator will be marketed?1. It is known that the number of lunches demanded is 80 units when the price is GH¢S5.00 and 45 units when the price is GH¢12.00 Determine the equation of the demand function in the form Q=f(P) Use the equation of the demand function to calculate the change in demand when the price; increases by GH¢3.00; decreases by GH¢2.00 Estimate the decrease in price for each lunch when the number of lunches demanded (quantity demanded) increases by GH¢15
- Suppose Amazon lowers its Prime membership monthly fee from $12.99 to $9.99. The price elasticity of demand for Amazon membership subscription in this price range is estimated at -0.8. You predict that the number of Prime subscriptions will (increase/decrease) increase Aby (enter a number rounded to one digit after the decimal point, e.g., 22.2) A/ % and that Amazon's revenue will (increase/decrease) A by (enter a number rounded to one digit after the decimal point, e.g., 9.9) A %.Problem 03-04 (algo) Suppose the own price elasticity of demand for good X is -3, its income elasticity is -3, its advertising elasticity is 4, and the cross- price elasticity of demand between it and good Yis 2. Determine how much the consumption of this good will change if: Instructions: Enter your responses as percentages. If you are entering a negative number, be sure to use a (-) sign. a. The price of good X decreases by 7 percent. percent b. The price of good Yincreases by 9 percent. percent C. Advertising decreases by 2 percent. percent d. Income increases by 5 percent. percentA TV channel has estimated the demand for its service to be givenby the following function: Q=9.83p-1.2A2.5Y1.6P0-1.4whereQ = monthly sales in unitsP = price of the service in $A = promotional expenditure in $’000Y = average income of the market in $’000P0 = 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, givingyour reasons and making the necessary corrections 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 price this will reduce its profit.
- 4. There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: (a) Determine the associated linear demand function (b) Determine the linear supply function. (c) At what price should the camera be sold so that there is neither a surplus nor a shortage?Price, dollars per pound Quantity, thousand pounds per day 1.90 1.5 1.35 2.2 1.25 4.4 1.20 5.9 0.95 6.5 0.85 7.0 0.73 8.8 Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q = 12.53 – 6.25p. Suppose the quantity in the first row of the table were 3 instead of 1.5. The linear demand function would now be Q =]-p. (Enter your responses rounded to two decimal places.) Suppose the quantity in the second row of the table were 3.2 instead of 2.2. The linear demand function would now be Q =- p. (Enter your responses rounded to two decimal places.) Enter your answer in each of the answer boxes. JUL 11 MacBook ProDashboard for Online Pricing Online the timing and tailoring of prices to specific models of products is the key to successful pricing in online markets. And “Thanks to the ready availability of data in online markets, a pricing manager can easily approximate the elasticity of demands for the different products it sells online.” Assuming a 10 percent decrease in price increases sales by 25 percent, calculate the price elasticity of demand? If the wholesale price of the online product is $50 and sells at a price comparison site that charges $.50 per click and boasts a conversion rate of 5 percent (an average of 20 clicks are needed to generate a sale). What price should you charge for the product? What is the optimal markup on cost? The authors assert that price sensitivity is affected by (1) product life cycles, and (2) numbers of competitors. In fact, “when the number of competing sellers doubles, a firm’s elasticity of demand is expected to double (and you should be able to…