The equilibrium price is $0.5 while the equilibrium quantity is 8.5
From the Demand data that we have in this question,
Slope = 3
Intercept = 10
The demand equation
D = -3p + 10
D = 10 - 3p
The supply data
Slope = 5
Intercept = 6
Supply equation
S = 6 + 5p
D = S
This is because at equilibrium, <u>supply = demand</u>
Therefore,
10-3P = 6+5P
collect like terms
10-6 = 3p+5p
4 = 8p
Divide through by 8
Equilibrium price = $0.5
The equilibrium quantity
D = 10 - 3*0.5
= 10-1.5
= 8.5
Therefore from the calculation, the equilibrium price is $0.5 and the equilibrium quantity is 8.5
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