Question
Megan's demand for brownies is Q d = 90 -4P. Calculate the price elasticity as the price moves from P 0 = 20 to P
Megan's demand for brownies is Qd= 90 -4P.
- Calculate the price elasticity as the price moves from P0= 20 to P1= 15 by using the mid-point price elasticity formula (hint: this is the same formula as the arc elasticity formula). p=
- Given the information, we calculate the total revenue (TR) at P = 20 and P = 15 separately. When P = 20, TR =$200; when P = 15,TR= $450. Does the total revenue (TR) increase, decrease, or stay the same when the price decreases from P = 20 to P= 15? Use your calculation of the price elasticity of demand at these two different prices to explain the result in the change of total revenue.
d) When the elasticity p> 1: if the price increases, does the total revenue increase, decrease, orremainunchanged?.
e) When the elasticity p< 1: if the price increases, does the total revenue increase, decrease, orremainunchanged?.
II Cross-price elasticity of Demand:Megan substitutes brownies for cheesecake sometimes, but Megan always drinks coffee when she has a piece ofbrownie.
- The price of cheesecake decreases by 10%. As a result, Megan's demand for brownies decreases from 11 brownies to 9 brownies. Given the information, the cross- price elasticity of demand for Megan for these two goods is browniepcheesecake=2. From Megan's perspective, is cheesecake a substitute or a complement good forbrownies? Why? Use the concept of cross-price elasticity of demand to explain youranswer.
- The price of coffee increases by 20%. As a result, Megan's demand for brownies decreases by 15%. What is the cross-price elasticity of demand for Megan for these two goods? browniepcoffee= - 0.75. From Megan's perspective, is coffee a substitute or a complement goodforbrownies? Why?Use the concept of cross-price elasticity of demand to explain youranswer.
III Income elasticity of Demand: Megan got a raise at work, and her income increases by 25%. As a result, her demand for brownies increases by 15%. In the meanwhile, Megan's demand for Cheetos decreases by10%.
- Given the information, Megan's income elasticity of demandforbrownies is 0.6. What does this income elasticity tell us about Megan's valuation of brownies (are brownies normal or inferiorgoods)?
- What is Megan's income elasticity of demandforCheetos?What does this income elasticity tell us about Megan's valuation of Cheetos (is Cheetos a normal or an inferiorgood)?
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