Due to the impact of Tropical Storm Harry in the Caribbean, the price of sugar rises from $0.50 to $1.00 per bag and the quantity demanded falls from 120 bags to 40 bags. a) Using your knowledge from Finite Math, show that the price-demand function is p(x)=-0.00625x+1.25 b) Calculate the elasticity of demand for sugar. c) Is sugar elastic, unitary or inelastic in this price range? (HINT: Try about 3 prices in the price-range)

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CASE STUDY 1
Due to the impact of Tropical Storm Harry in the Caribbean, the price of sugar rises from $0.50 to
$1.00 per bag and the quantity demanded falls from 120 bags to 40 bags.
a) Using your knowledge from Finite Math, show that the price-demand function is
p(x) = -0.00625x+1.25
b) Calculate the elasticity of demand for sugar.
c) Is sugar elastic, unitary or inelastic in this price range? (HINT: Try about 3 prices in the price-range)
d) What is the interpretation of that price elasticity of demand?
e) If the price of sugar ($1.00) were to increase by 15%, what would be the percentage change in the
quantity demanded?
f) What happens to the total revenue for sugar producers when the price of sugar increases? Explain
your answer.
g) Explain 4 factors that influence the price elasticity of demand.
Transcribed Image Text:CASE STUDY 1 Due to the impact of Tropical Storm Harry in the Caribbean, the price of sugar rises from $0.50 to $1.00 per bag and the quantity demanded falls from 120 bags to 40 bags. a) Using your knowledge from Finite Math, show that the price-demand function is p(x) = -0.00625x+1.25 b) Calculate the elasticity of demand for sugar. c) Is sugar elastic, unitary or inelastic in this price range? (HINT: Try about 3 prices in the price-range) d) What is the interpretation of that price elasticity of demand? e) If the price of sugar ($1.00) were to increase by 15%, what would be the percentage change in the quantity demanded? f) What happens to the total revenue for sugar producers when the price of sugar increases? Explain your answer. g) Explain 4 factors that influence the price elasticity of demand.
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