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.Com
Question 303145: 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.
Answer by CharlesG2(834) (Show Source): 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.
set the equations equal to each other and solve for x
e^x = 162755 * e^(-x)
ln (e^x) = ln (162755 * e^(-x))
e^x = y --> ln y = x, e is the base of natural logarithms (ln)
ln e^x = x
ln (mn) = ln m + ln n
x = ln 162755 + ln e^(-x)
x = ln 162755 - x
2x = ln 162755
2x = approximately 12
x = approx. 6
e^6 = approx. 403.43
162755 * e^(-6) = approx. 403.43
so 6 stereos
RELATED QUESTIONS
Supply and Demand. The supply and demand for the sale of stereos by Sound Ideas are given (answered by stanbon)
I am looking for help in solving a question from a text concerning the equilibrium point... (answered by stanbon)
Find the equilibrium point for the given supply and demand equation. Here y represents... (answered by ankor@dixie-net.com)
HELP! I need assistance with this demand supply problem!
The demand and supply... (answered by Edwin McCravy)
The function S=5000 +200x and D=9500-100x express the supply S and the demand D,... (answered by nabla)
Free market. The equation S = 5000 + 200x and D = 9500 - 100x express the supply S... (answered by Fombitz)
Free market. The equations S = 5000 + 200x and
D = 9500 - 100x express the supply S and... (answered by stanbon)
The equations S=5000-200x and D=9500-100x express the supply S and the demand D,... (answered by stanbon)
The equations S = 5000 + 200x and
D = 9500 - 100x express the supply S and the
demand... (answered by checkley77)