Given linear demand curves, if both demand and supply increase by identical amounts, what happens to the equilibrium price?
A
The equilibrium price decreases.
B
The equilibrium price becomes indeterminate.
C
The equilibrium price increases.
D
The equilibrium price remains unchanged.
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1
Recall that the equilibrium price is determined by the intersection of the demand and supply curves, where quantity demanded equals quantity supplied.
Represent the demand curve as \(Q_d = a - bP\) and the supply curve as \(Q_s = c + dP\), where \(a\), \(b\), \(c\), and \(d\) are positive constants, and \(P\) is the price.
An increase in demand by an identical amount shifts the demand curve to \(Q_d' = (a + k) - bP\), where \(k\) is the increase in demand.
An increase in supply by the same amount shifts the supply curve to \(Q_s' = (c + k) + dP\), where \(k\) is the increase in supply.
Set the new demand equal to the new supply to find the new equilibrium price: \((a + k) - bP = (c + k) + dP\). Simplify this equation to see how \(k\) cancels out, showing that the equilibrium price remains unchanged.