(d). Given the following price elasticity of demand of eQP = -1/2, P>0 Form a differential equation from the information Solve the equation to find to obtain the required demand function. i. ii.
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- The equation of an estimated demand function is as follows: - QdA (Quantity demand for A) = 200.5 - 2.5 Pa - 1.5Pb + 3.5 I where, Pa = Price of A Pb = Price of B [It is a related product] I = Income (i) Determine the demand when Pa = $ 500, Pb = $ 100 and I = $ 3000 (ii) Estimate the price elasticity, cross-price elasticity and income elasticity of the demand according to point method. (iii) Estimate the elasticity of the demand according to proportion method if Pa2 = $ 515, Pb2 = $ 105 and I = $ 3500.Over 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 AboveConcept of elasticity of demand and demand forecasting are variable tools for economic analysis .validate with rxamples
- A single producer company surveyed the elasticity data of its product X. The results indicated that: - X has an income elasticity of +0.8 - The cross-elasticity of X with Y is equal to -0.7 - The price elasticity of X is |0.8| Given these results, the company estimated that the forecast increase in consumer income is 5% next year, the expected increase in the price of Y is 10%. If the company intends to increase its sales by 3% in the following year, what is your recommendation for an adjustment in the price of X? (Hint: Consider the increase in income, then the effect of Y on X and then calculate the price adjustment to be made)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…The price for cigarettes sold by Big Tobacco Co Ltd was6.00 per packet in March 2018. During the month of March, the consumption of cigarettes was 1000 packets. However, the Board of Directors of Big Tobacco Co Ltddecided to increase the price by 25% during the month of April. As a manager you noted that price elasticity of demand was 0.8. As a manager Big Tobacco Co Ltd: A. Advise your management of the strategy that could be adopted by your firm to maintain sales. B. Also, advise your government on recommendedinterventions in the cigarette market.
- Qd= 25000-2p Qs= 10000-1p Calculate the market equlibrium level of price and quantity for housing unit? Calculate price elasticity of demand using point elasticity method when industry is in equlibrium and interpret the result?Worldwide annual sales of smartphones over a two year period were approximately q=-4p+3020 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 $305 per phone. What was the corresponding price elasticity of demand? E=_____ (c) The demand was going down by about _____% per 1% increase in the price at that price level. (d) use your formula for E to determine the selling price that would have resulted in the largest annual revenue. $____ What would’ve been the resulting annual revenue? $____ billionThe price for cigarettes sold by Big Tobacco Co Ltd was6.00 per packet in March 2018. During the month of March, the consumption of cigarettes was 1000 packets. However, the Board of Directors of Big Tobacco Co Ltd decided to increase the price by 25% during the month of April. As a manager you noted that price elasticity of demand was 0.8. As a manager Big Tobacco Co Ltd: Advise your management ofthe strategy that could be adopted by your firm to maintain sales.
- The demand function for a product is modeled by p = 400 − 2x, 0 ≤ x ≤ 200, where p is the price per unit (in dollars) and x is the number of units. Determine when the demand is elastic and inelastic. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Determine when the demand is of unit elasticity.What is the price elasticity of demand givenP = $4 and Qd = 1100 - P2Please 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%.
