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

The number of people taking the bus at price p dollars per ticket is given by x=5000(5-p)^1/2.

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 - The consumer demand equation for tissues is given by q = (97 − ...
- Calculus - If you invest $5000 in a stock that is increasing in value at the ...

More Related Questions