SOLUTION: A manufacturer has found that the daily demand for a certain item is D(p)=400/p, where p is the price of the item in dollars. The daily supply is S(p)=4p-1. At what price does the

Algebra ->  Finance -> SOLUTION: A manufacturer has found that the daily demand for a certain item is D(p)=400/p, where p is the price of the item in dollars. The daily supply is S(p)=4p-1. At what price does the       Log On


   

Question 691177: A manufacturer has found that the daily demand for a certain item is D(p)=400/p, where p is the price of the item in dollars. The daily supply is S(p)=4p-1. At what price does the supply equal demand?
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
400%2Fp=4p-1
400=4p%5E2-p
4p%5E2-p-400=0
p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

The minus solution gives a negative price, thus we do not consider it.
p+=+81.006%2F8+=+10.1257