SOLUTION: Suppose the supply and demand for a certain textbook are given by ​supply: p= 1/5q^2 ​demand: p= -1/5x^2+40 where p is the price and q is the quantity. Find the demand quan

Algebra ->  Systems-of-equations -> SOLUTION: Suppose the supply and demand for a certain textbook are given by ​supply: p= 1/5q^2 ​demand: p= -1/5x^2+40 where p is the price and q is the quantity. Find the demand quan      Log On


   



Question 1135452: Suppose the supply and demand for a certain textbook are given by ​supply: p= 1/5q^2
​demand: p= -1/5x^2+40
where p is the price and q is the quantity. Find the demand quantity and the supply quantity at a price of ​$5.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose the supply and demand for a certain textbook are given by ​
supply: p=+%281%2F5%29q%5E2
​demand:p=+-%281%2F5%29x%5E2%2B40+-> I guess, should be q instead: p=+-%281%2F5%29q%5E2%2B40
where p+is the price and q is the quantity.
Find the demand quantity and the supply quantity at a price of ​$p=5.

supply quantity:
5=+%281%2F5%29q%5E2
5%2A5=+q%5E2
+q%5E2=25
+q=5

​demand quantity:
5=+-%281%2F5%29q%5E2%2B40
5-40=+-%281%2F5%29q%5E2
-35=+-%281%2F5%29q%5E2
-35%2F+%28-1%2F5%29=q%5E2
35%2A5=q%5E2
175=q%5E2
q=sqrt%28175%29
q=5sqrt%287%29