QUESTION 20 The basic formula for the price elasticity of demand is: Oa the total change in demand divided by a change in price Ob the percentage change in demand divided by a percentage change in price O the percentage change in quantity demanded divided by a change in demand Od the percentage change in quantity demanded divided by a percentage change in price
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- (Categories of Price Elasticity of Demand) For each of the following absolute values of price elasticity of demand, indicate whether demand is elastic, inelastic, perfectly elastic, perfectly inelastic, or unit elastic. In addition, determine what would happen to total revenue if a firm raised its price in each elasticity range identified. Absolut Value Elasticity Effect of Price Increase a b c dUsing regression analysis on data from a field experiment, the demand curve for a product is estimated to be QXd = 1,200 − 3PX − 0.1PZ where Pz = $300. a. What is the own price elasticity of demand when Px = $140? Is demand elastic or inelastic at this price? What would happen to the firm’s revenue if it decided to charge a price below $140?Instruction: Enter your response rounded to two decimal places. Own price elasticity: Demand is: . If the firm prices below $140, revenue will: . b. What is the own price elasticity of demand when Px = $240? Is demand elastic or inelastic at this price? What would happen to the firm’s revenue if it decided to charge a price above $240? Instruction: Enter your response rounded to one decimal place. Own price elasticity: Demand is: . If the firm prices above $240, revenue will: . c. What is the cross-price elasticity of demand between good X and good Z when Px = $140? Are goods X and Z…Please show in excel! Problem-solving exercises: (a) Use the arc-approximation formula to calculate the price-elasticity of demand coefficient of a firm's product demand between the (quantity, price) points of (12, $20) and (18, $16). (b) Calculate the cross-price elasticity of demand coefficient of a firm's product X, given that a 10% increase in the price of its close substitute, product Y, causes the quantity demand of product X to increase by 6%. (c) Calculate the income-elasticity of demand coefficient for a product for which a 5% increase in consumers' income will increase the quantity demanded by 4%.
- ONLY ANSWER QUESTION #2 1. 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 28 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? 2. 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 verify…The demand and supply functions for the markets of two different toys are summarisedin Table 1.Table 1: Demand and Supply of Two Types of Toys Type A Toy Type B ToyDemand: P=16-0.002Q Demand: P=6-0.005QSupply: P=4+0.015Q Supply: P=-1.8+0.008Q i. Compute and interpret the price elasticity of demand for both toys when priceincreases from $3 to $6 in both markets while all other factors remain constant.Round your answers to 2 decimal places if necessary.ii. Based on your finding of price elasticity of demand for each of these two toymarkets, predict change of quantity demanded and change of revenue for each toywhen there is a 10% increase in the price. Apply relevant theories and useexamples to analyse why price elasticities of demand for these two toys differ.Worldwide annual sales of smartphones over a two year period were approximately q = −5p + 3,080 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. E = (b) In one of the years the actual selling price was $365 per phone. What was the corresponding price elasticity of demand? (Round your answer to two decimal places.) E = Interpret your answer. The demand was going ---Select--- down up by about % per 1% increase in price at that price level. (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. $ What would have been the resulting annual revenue? (Round your answer to two decimal places.) $ billion
- These 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…Please no written by hand solution Instead of assuming a linear demand curve, suppose we assume that demand is char- acterized by the following demand function qD = 13.572P −1.5 (a) Suppose the current price is $5. What is the price elasticity of demand at this price? (b) Over what range of prices is demand elastic? Inelastic? Unit elastic?Tutorial Exercise Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately q = −10p + 4,540 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. (b) In one particular year the actual selling price was $277 per phone. What was the corresponding price elasticity of demand? Interpret your answer. (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest $10 million, would have been the resulting annual revenue? Step 1 (a)Obtain a formula for the price elasticity of demand E. Recall that the price elasticity of demand E is the percentage rate of decrease of demand divided by the percentage increase of price, given by the formula. E = − dq dp · p q We are already given the formula q = −10p + 4,540 for the demand of smartphones (in millions). First, we find the derivative…
- Suppose, the price of a product decreased from R.O 20 to 17. As a result, the products demand increased from 100 to 180 units. Determine the price elasticity of demand for the product. a. 3.55 b. 5.33 c. 2.88 d. 4.66Worldwide annual sales of smartphones over a two year period were approximately q -4p+3,060 million phones at a selling price of sp per phone. E= (b) In one of the years the actual selling price was $325 per phone. What was the corresponding price elasticity of demand? (Round your answer to two decimal place Interpret your answer. The demand was going by about % per 1% increase in at that price level (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. What would have been the resulting annual revenue? (Round your answer to two decimal places.)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