SOLUTION: Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing
Algebra ->
Logarithm Solvers, Trainers and Word Problems
-> SOLUTION: Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing
Log On
Question 303147: Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing to supply x stereos and D(x) is the demand price for a quantity of x stereos. Find the equilibrium point.
You can put this solution on YOUR website! Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given by S(x)=e^x and D(x)=162,755e^-x, where S(x) is the price at which the company is willing to supply x stereos and D(x) is the demand price for a quantity of x stereos. Find the equilibrium point.
------------
Equilibrium occurs when Revenue = Cost.
----
Solve : e^x = 162,755e^-x
---
Multiply both sides by e^x to get:
e^(2x) = 162755
Take the natural log and solve for "x":
2x = ln(162755)
-------
x = 6
---
Find the equilibrium point.
e^x = e^6 = 403.43
-------------------------
Cheers,
Stan H.
(