SOLUTION: let q=the annual demand in pounds for a drug and p equals the price per pound of the drug. suppose that q=1000000p^(-6). Also suppose that you want to "invert the demand curve" and

Algebra ->  Finance -> SOLUTION: let q=the annual demand in pounds for a drug and p equals the price per pound of the drug. suppose that q=1000000p^(-6). Also suppose that you want to "invert the demand curve" and      Log On


   

Question 739746: let q=the annual demand in pounds for a drug and p equals the price per pound of the drug. suppose that q=1000000p^(-6). Also suppose that you want to "invert the demand curve" and express price as a function of demand. which of the following is an expression of the inverse demand curve.
a)p=0.10q^(-1/6)
b)p=10q^6
c)p=10q^(-1/6)
d)p=0.10q^(-1/3)/10
e)none of the above
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

q=1000000p%5E%28-6%29

q=1000000%281%2Fp%5E6%29

q=1000000%2Fp%5E6.....switch p and q

p=1000000%2Fq%5E6

p=%2810%2Fq%5E6%29

p=10q%5E%28-1%2F6%29 or
p=10%2Froot%286%2Cq%29 and -p=10%2Froot%286%2Cq%29
so, your answer is
c)p=10q%5E%28-1%2F6%29