The demand for a product can be approximated by q = D(p) = 90e-0.01P, where p represents the price of the product, in dollars, and q%3Dis the quantity demanded.(a) Find the elasticity function:E(p) =(b) Evaluate the elasticity at 6. E(6) =(c) Should the unit price be raised slightly from 6 in order to increase revenue? ?(d) Use the elasticity of demand to find the price p which maximizes revenue for this product. p =Round to three decimal places as needed.

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Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter12: More Realistic And Complex Pricing

Section: Chapter Questions

Problem 12.1IP

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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? $____ billion
The formula to calculate elasticity using the arc method is given below: E=Q2-Q1Q1+Q22P2-P1P1+P22Where,Q1= initial quantityQ2=new quantityP1=initial priceP2=new price E=340-306306+340221-2424+212E=34323-322.5E=34×22.5323×-3E=765-969E=-0.79 The value of elasticity in absolute terms is 0.79. Since the value of elasticity in absolute terms is less than one (0.79<1) the demand is inelastic. Can you put the above in correct format as per the formolation i get the answer different so not sure if i am doing something wrong see pic.
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