Micro consumer and producer problem

[ameya.d]

The market is perfectly competitive for good 1 and 2. There are 100 firms, each firm with cost function      C = q1 + (q1^2)/2 and 100 consumers with utility function U(q1,q2) = Ln (q1) + Ln(q2)
You are given that P1 = P2 = 1 and each consumer has income 12.

a) What is market supply function for q1?
Is it Q1 = 100 - 100P1  ?
 
b) What is market demand function for q1?
Is it q1 = I / 2p1   ?

c) What are equilibrium market quantities and price for q1?
Is q1 = 200 and P1 = 3   ?

d) What is market elasticity of demand for q1?
Is it 1?

If anyone can please confirm answers I got or correct it..
thank you so much!

[Dreyfus]

Ameya I m also getting the same answers.....BTW there is typo in ur answer for part a

[ameya.d]

thank you for replying vaibhav
yeah it should be  100P1 - 100

did you get a quadratic equation when solving for market price in equilibrium?

thanks again

[Dreyfus]

Yes with two prices....one negative! And a positive