Find equilibrium for price and quantity P=300-1Qd P=100+Qs Income=180

To find the equilibrium price and quantity, we start by setting the quantity demanded ( Q_{d} ) equal to the quantity supplied ( Q_{s} ). The given system of equations is:

P = 300 - Q_{d}
P = 100 + Q_{s}

At equilibrium, P and Q will be the same for both demand and supply, so:

300 - Q = 100 + Q

Solving for Q :

300 - Q = 100 + Q
300 - 100 = Q + Q
200 = 2Q
Q = 100

Substitute Q = 100 into either equation to find the equilibrium price, let's use the demand equation:

P = 300 - Q
P = 300 - 100
P = 200

\boxed{\text{Answer: Equilibrium Quantity } Q = 100 \text{ units, Equilibrium Price } P = \$200}