please answer immediately. it will help me. the question is below in the description part

Question

The supply function and demand function for the sale of a certain type of DVD player are given by S(p)= 150e^0.004p and D(p)=e^-0.002p, where S(p) is the number of DVD players that the company is willing to sell at price p and D(p) is the quantity that the public is willing to buy at price p. Find p such that D(p)=S(p). This is called the equilibrium price.

Answer 1

D = S

e^-.002p = 150e^.004p

150 = (e^-.002p(/(e^.004p)

= e^(-.002 -.004)p = e^(-006)p

150 = e^(-.006)p

ln150 = -.006p

p = ln150/-.006= about -5.011/.006 = -$8.35.

If price per CD is negative $8.35, then the market clears

but this means the consumer has to be paid to "buy" the CDs, and the producer has to accept an $8.35 loss on each CD

while the Supply Curve is upward sloping and the Demand Curve is downward sloping, their y intercepts seem reversed, and a little strangely Fishy.

Maybe the problem really was meant to be:

Supply Curve S(p) =e^-.004p with Demand curve D(p) = 150e^-.002p

then 150e^-.002p = e^004p

150 = e^.004p/e^-.002p

= e^.002p

p = 150/e^.002 = 149.7

equilibrium price = about $1.50 per CD