Posted by Lee on Tuesday, July 19, 2011 at 11:02pm.
"Unitary demand" occurs where p*x = constant, which also implies that
dp/p = -dx/x,
which is another way of saying
dx/dp = -x/p
In your case
dx/dp = -5000*(1/2)/(5-p)^1/2
= -2500/(5-p)^1/2
= -x/p = -5000*(5-p)^1/2*(1/p)
1 = 2*(5-p)/p
p = 10 - 2p
p = $3.33
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