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The the supply function is given as Q is equal to minus 100 plus 10p find the the elasticity e using point method when prices is is rupees 15?
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The the supply function is given as Q is equal to minus 100 plus 10p f...
Q1-q/p1-p
q=-100+10p
0+10
q1-q/p1-p=10
10×15/50=150/50=3
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The the supply function is given as Q is equal to minus 100 plus 10p f...
Understanding the Supply Function
The supply function is given by:
Q = -100 + 10p
Where:
- Q = Quantity supplied
- p = Price
To find the elasticity of supply (E) at a price of 15, we can use the point method.
Step 1: Calculate Quantity Supplied (Q)
- Substitute p = 15 into the supply function:
Q = -100 + 10(15)
Q = -100 + 150
Q = 50
Step 2: Determine the Derivative of the Supply Function
- The derivative of the supply function with respect to price (p) is:
dQ/dp = 10
Step 3: Use the Elasticity Formula
- The elasticity of supply (E) can be calculated using the formula:
E = (dQ/dp) * (p/Q)
Substituting the values:
E = (10) * (15/50)
Step 4: Calculate Elasticity
- E = 10 * 0.3
- E = 3
Conclusion
- The elasticity of supply at a price of 15 is 3, indicating that supply is elastic.
- This means that a 1% increase in price will lead to a 3% increase in quantity supplied, demonstrating a responsive supply to price changes.
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The the supply function is given as Q is equal to minus 100 plus 10p find the the elasticity e using point method when prices is is rupees 15?
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