When the price of bananas is 50 cents a pound, the total demand is 100 pounds. If the price elasticity of demand for bananas is -2, what quantity would be demanded if the price rose to 60 cents a pound?

Respuesta :

Answer:

The quantity would decrease to 60 pounds.

Explanation:

The price of bananas is 50 cents.

The total demand is 100 pounds.

The price elasticity of bananas is -2.

The price elasticity = [tex]\frac{\frac{Q2-Q1}{Q1} }{\frac{P2-P1}{P1} }[/tex]

-2 = [tex]\frac{\frac{Q2-100}{100} }{\frac{60-50}{50} }[/tex]

-2 = [tex]\frac{\frac{Q2-100}{100} }{\frac{10}{50} }[/tex]

[tex]-2 = \frac{\frac{Q2-100}{100} }{0.2}[/tex]

-0.4 = [tex]\frac{Q2-100}{100}[/tex]

-40 = Q2-100

Q2 = 60

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