The price of a large pizza decreased from $20,.00 to $16.00. As a result, the qu
ID: 1134099 • Letter: T
Question
The price of a large pizza decreased from $20,.00 to $16.00. As a result, the quantity demanded of skateboards incroased from 25000 to 20o v 1st attempt Part 1 (1 point) 0 See Hint Using the midpoint formula, what is the percentage change observed for the price of alarge pizza? Give your answer tot wo decimal places Part 2 (1 point) Using the midpoint formula, what is the percentage change observed for the quantity demanded of skateboards? Give your answer to two decimal places. 96 ? See Hint Part 3 (1 point) What is the cross-price elasticity of demand between pizzas and skateboards? Give your answer to two decimal placesExplanation / Answer
Answer
% change using Mid point for any X = ((Xnew - Xold)/((Xnew + Xold) /2))*100
1) Using above formula,
% change using Midpoint for Price Of Pizza = ((Pnew - Pold)/((Pnew + Pold) /2))*100
Mow, Pnew = 16 and Pold = 20.
Hence, % change in price of Pizza = ((16-20)((16 + 20)/2))*100 = -(4/18)*100
= (-) 22.22%.
This Implies that Price decreased by 22.22%.
2) Using above formula,
% change using Midpoint for Demand Of skateboard = ((Qnew - Qold)/((Qnew + Qold) /2))*100
Mow, Qnew = 270.00 and Qold = 250.00
Hence, % change Quantity Demanded of skateboard = ((270-250)((270 + 250)/2))*100 = (20/260)*100
= 7.69%.
This Implies that Quantity Demanded of skateboard increased by 7.69%.
c)
Cross Price Elasticity of demand between Pizze and Skateboard
= % change Quantity Demanded of skateboard / % change in price of Pizza
= (2000/260)/(-400/18)
=(-)0.35.
As we acn see that Cross price elasticity is negative we can consider Pizza and Skateboard at complimentary Goods.
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