2. (22 pts) The system of the following equations describes the market for a good} 6,211 = a .519 + ,--3 Q3 5 + KP AC 1Where a. .3, 1r, 6) K and A are positive constants. Also. S is the price of substitutes for the good and C is the price of inputs used in producing the good. Both S and C are exogenous variables for this model. (a) Find the equilibrium quantity Q\" and price Pa for the good. (8 pts) (1)) Show (algebraically and graphically) how an increase in the price of substitute goods; 5, affects equi librium quantity and price and how an increase in the price of inputs, C, aects equilibrium quantity and price. Do you expect these results? (14 pts}