Answer: Jimmy's Peanut Farm has to decrease its prices by 2.5% in order to achieve a 1% increase in the quantity of peanuts it sells.
Jimmy's Peanut Farm can increase the quantity sold by 1% only when the demand for peanuts increases. Demand for peanuts will increase only when the price of peanuts decrease. The Price Elasticity of Demand measures the responsiveness of demand to a percentage change in price.
The formula for Price Elasticity of Demand (PED) is given by the formula:
[tex]\mathbf{PED = \frac{percentage change in quantity}{percentage change in price}}[/tex]
We have:
Percentage increase in quantity 1% or 0.01
Price Elasticity of Demand (PED) 0.40
Re-arranging the PED formula above we get,
[tex]\mathbf{percentage change in price}= \frac{percentage change in quantity}{PED} *100}[/tex]
Substituting the values in the equation above we get,
[tex]{percentage change in price} = \frac{0.01}{0.4}*100 =2.5[/tex]