The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p = 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches.
The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p = 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches.
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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Expert Solution
Step 1
At the equilibrium point, the demand function and supply function must be equal.
Step 2
Equate the demand and supply function
0.01q2+2q+1000=7000-2q
0.01q2+4q-6000=0
q2+400q+600,000=0
(q-600)(q+1000)=0
q=600, -1000
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