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- Income Effects depend on the income elasticity of demand for each good limit you buy. If one of the goods you buy has a negative income elasticity, that is, it is an inferior good, what must be true of the income elasticity of the other good you buy?Why is the demand curve with constant unitary elasticity concave?The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?
- Exercise : Following an increase in it's price, from 10$ to 12$, the demand for a good falls from 10500 to8100 units.What elasticity of demand would you estimate from these data? Calculate its value, first by using the general formula (for discrete changes), then by assuming a constantconstant elasticity of demand (log formula).Calculate the demand for p=9 (note q9 the quantity for p=9), using the general formula then in log of the elasticity calculated in Now, Knowing the value of the direct price elasticity of demand calculated previously, assuming constant costs andcosts and rivals not responding to your price cut, would you have recommended the price cut from 10 to 9?price cut from 10 to 9 ?If cross-elasticity of one commodity for another turns out to be zero, it means they areClose substitutesNone of theseGood complementsCompletely unrelatedThese questions require application of economic theory relating to elasticity of demand andsupply. All calculations must be shown in full. Answer ALL the questions.Q.3.1 A store that sells maize meal discovers that when the price of 1kg maize meal IsR24 per kilogram, the quantity demanded is 306 kgs per week. When the pricedecreases to R21 per kg, then the sales increase to 340 kgs per week. Use thisinformation to answer questions Q.3.1.1 and Q.3.1.2 below.Q.3.1.1 Determine the price elasticity of maize meal using the Arc method. (5)Q.3.1.2 Discuss the relationship between the price elasticity of maize mealand the total revenue the store received from the sales. Advise thestore on an appropriate pricing strategy.(7)Q.3.2 The store selling maize meal makes a further discovery, when the price of ricechanges from R30 per kg to R26 per kg, then the quantity of rice demandeddecreases from 1360 kg per month to 1238 kg per month. Use this informationto answer Q.3.2.1 and Q.3.2.2 below.Q.3.2.1…
- The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95ep − 3p2⁄2, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a)Determine the price elasticity of demand E when the retail price is set at ¥300. E = Interpret your answer. The demand is going by % per 1% increase in price at that price level. Thus, a large price ___ is advised. (b)At what price will revenue be a maximum? (Round your answer to the nearest integer.) yen (c)Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) paint-by-number sets per monthElasticity. At the current price of cigarettes at P25 per pack, current consumption wasdetermined to be 50,000 packs per month. The producers are contemplating an increase inthe price of P3 per pack, but they are apprehensive that consumption might drastically fall.An economist knows that such price increase would reduce consumption by 20%.c. Compute for the arc elasticity of demand for cigarettes between the given pints.d. Should the producers push though with their contemplated action or not? Why?The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95e−3p2 + p, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a) Determine the price elasticity of demand E when the retail price is set at ¥400. E = _____ Interpret your answer. The demand is going down/up by ____ % per 1% increase in price at that price level. Thus, a large price decrease/increase is advised. (b) At what price will revenue be a maximum? ____ hundred yen (c) Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) ______ paint-by-number sets per month
- Over time, technological advance increases consumers’incomes and reduces the price of smartphones. Eachof these forces increases the amount consumers spendon smartphones if the income elasticity of demandis greater than ________ and if the price elasticity ofdemand is greater than ________.With this demand function D(p)=400−4p2, Find the Elasticity of Demand at a price of $2 At this price, we would say the demand is: Unit-elasticInelasticElastic Based on this, to increase revenue we should: Lower PricesRaise PricesKeep Prices UnchangedOver the range from $20 to $18, Qd goes from 12 to 17. Using this range of prices and quantities, you should calculate the coefficient of price elasticity of demand. In the box labeled H1, the coefficient of price elasticity of demand is: 3.28 5 3.01 2.97 In box H2, you would interpret the coefficient calculated in the previous question. Therefore, you would characterize this range as: Elastic Unit Elastic Inelastic None of the Above