SOLUTION: Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit. a. at what price will the demand (q) equal 4000 un

Question 635604: Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit.
a. at what price will the demand (q) equal 4000 units?
(I keep getting a negative 8.90 Which i am sure is not correct because it is not suppose to be a negative)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Suppose the demand function for q thousand units of a certain commodity is given by P=30(3^-q/2)where p is the price per unit.
a. at what price will the demand (q) equal 4000 units?
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P = 30*3^(-q/2) = 4000
3^(-q/2) = 400/3
(-q/2)*log(3) = log(400/3)
(-q/2) = log(400/3)/log(3)
q = -2*log(400/3)/log(3)
q =~ -8.9
============
I would question the formula.

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