Question : A manufacturer faces a -1.2 price elasticity of demand for its product. It is presently selling 7,500 units per day. If it wants to increase the quantity sold by 9%, it must lower its price by
Option 1: 7.5%
Option 2: 7.8%
Option 3: 10.2%
Option 4: 10%
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Correct Answer: 7.5%
Solution : The correct answer is 7.5% .
To determine how much the manufacturer should lower its price to increase the quantity sold by 9%, we can use the formula for price elasticity of demand:
Price Elasticity of Demand (PED) = (%Change in Quantity Demanded)/(% Change in Price) .
In this situation, with a known price elasticity of demand (PED) of -1.2, the manufacturer aims to boost sales by 9%. Our objective is to determine the necessary percentage reduction in price.
Let "P" be the percentage change in price. The percentage change in quantity demanded is +9% because the manufacturer wants to increase sales.
So, we have:
-1.2 = (9%)/(P%)
Now, solve for P:
P% = (9%)/(-1.2)
P% = -7.5%.
So, the manufacturer must lower its price by 7.5% to increase the quantity sold by 9%.
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