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Sagot :
Answer:
a. 21 percent
b. -20 percent
c. -8 percent
d. -8 percent
Explanation:
Own price elasticity = -3
Income elasticity = -2
Advertising elasticity= 4
Cross price elasticity = -2
Formula for elasticity is given by,
[tex]Elasticity = \frac{Percentage change in Quantity}{Percentage change in factor}[/tex]
a. When price of good X decreases by 7 percent.
[tex]Elasticity = \frac{Percent change in quantity}{Percent change in own price}[/tex]
[tex]-3 = \frac{Percent change in quantity}{-7}[/tex]
[tex]Percent change in quantity = (-3) * (-7) = 21[/tex]
Thus, as price decreases by 7% quantity rises by 21%.
b. The price of good Y increases by 10 percent.
[tex]Corss- price elasticity = \frac{Percent change in quantity}{Percent change in Price of good Y} \\ -2 = \frac{Percent change in quantity }{10} \\Percent change in quantity = (-2) * (10) \\ = -20[/tex]
Thus, as price of good Y increases by 10 percent, demand for good X falls by 20 percent.
c. Advertising decreases by 2 percent.
[tex]Elasticity = \frac{Percent change in quantity}{Percent change in advertising} \\4 = \frac{Percent change in quantity }{-2} \\Percent change in quantity = (-2) * (4) \\ = -8[/tex]
Thus, a 2 percent decline in advertising will lead to a 8 percent fall in quantity of good X.
d. Income increases by 4 percent.
[tex]Income elasticity = \frac{Percent change in quantity }{Percent change in income}\\-2 = \frac{Percent change in quantity}{4} \\Percent change in quantity = (-2) * (4) \\ = -8\\[/tex]
Thus, when income increases by 4 percent, quantity decreases by 8 percent.
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