Question: Improved AD-AS model

Given that IS is Y = 2500-50i, and the interest rate reaction function is i^p = 2 + 0.5(P-P^*), where i^p is the central bank policy rate. Assume that i (interest rate) is 0.5 + i^p (interest rate is a wedge over the policy rate). Determine the AD function. If AS function was Y = 0.25(P-P^*) + 2000 determine Y^* and P^* and inflation rate. Assume P^* = 105.