Suppose the monetary-policy rule has the wrong natural rate of interest. that is, the central bank follows this rule: it = pit + p' + thetapi(pit - pi*t) + thetay(yt - yt) where p' does not equal p, the natural rate of interest in the equation for goods demand. the rest of the dynamic ad-as model is the same as in chapter. solve for the long-run equilibrium under this policy rule. explain in words the intuition behind your solution.

Krier industries has just completed its sales forecasts and its marketing department estimates that the company will sell 43,800 units during the upcoming year. in the past, management has maintained inventories of finished goods at approximately 3 months' sales. however, the estimated inventory at the start of the year of the budget period is only 7,300 units. sales occur evenly throughout the year. what is the estimated production level (units) for the first month of the upcoming budget year?