Finding the Solution We have
the following 4 equations to solve for 

(1) 

(2) 

(3) 

(4) 

Substituting
equation (2) into equation (4) yields 

and
solving for q' yields 

Then by equation (2)


Substituting equation (1) into equation (3) yields


Substituting
the m, q', and p' we have found into equation (1) gives So the final answers are that the equilibrium point is at
and that the equation for the linear demand curve is 
