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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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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.
Transcribed Image Text: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.
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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