Saturday

January 31, 2015

January 31, 2015

Posted by **Lee** on Tuesday, July 19, 2011 at 11:02pm.

For what value of P is the demand unitary?

- Calculus -
**drwls**, Wednesday, July 20, 2011 at 12:02am"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

**Answer this Question**

**Related Questions**

Grade 12 Calculus - For an outdoor concert, a ticket price of $30 typically ...

CALCULUS!!!(revised) please help - A price (in dollars) and demand for a product...

Further calculus - 1) A price p (in dollars) and demand x for a product are ...

Economics - Suppose that a movie theater owner faces the demand curve given by P...

pre-calculus - For groups of 80 or more people, a charter bus company determines...

CALCULUS!!! - A price (in dollars) and demand for a product are related by If ...

math - The demand function for a certain commodity is approximated by: p = 100e-...

algebra - Q 2: If the ticket agency charges ‘p’ dollars per ticket for a concert...

Calculus - If you invest $5000 in a stock that is increasing in value at the ...

brief calculus - I have everything right but the last question asking how many ...