The price for a good has risen from 675 rub. to 689 rub. The supply has increased from 3100 units to 3450 units. Calculate the price elasticity of supply?
Solution:
Price elasticity of supply (PES) = "=\\frac{\\%\\;change\\; in\\; quantity\\; supplied}{\\%\\; change\\; in\\; price}"
PES = "\\frac{Q_{2} -Q_{1}}{(Q_{2}+Q_{1})\/2 } \\div \\frac{P_{2} -P_{1}}{(P_{2}+P_{1})\/2 }"
Q1 = 3,100 P1 = 675
Q2 = 3,450 P2 = 689
PES = "\\frac{3,450 -3,100}{(3,450+3,100)\/2 }\\div \\frac{689 -675}{(689+675)\/2 }"
PES = "\\frac{350}{3,275} \\div\\frac{14}{682} = \\frac{0.107}{0.021} = 5.21"
Price elasticity of supply (PES) = 5.21
This means that the good has a relatively elastic supply, indicating high responsiveness to changes in price.
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