Suppose that an economy's aggregate production function is as follows: Y = (K + U)as1-a4 where K = physical capital, U= unskilled labor, and S = skilled labor. In this formulation, capital is a perfect substitute for unskilled labor. In competitive markets, the compensation/income of a factor is its marginal product. Show mathematically that if the stock of physical capital increases, then wage inequality between skilled and unskilled labor will grow. Identify which type of labor will "lose out". Discuss the relevance of this model to current patterns of economic growth, especially in advanced economies