Show work and explain please.

4. This problem brings together the elements of both the Solow and the Romer growth models. Output production function Y = AKYSZ Capital accumulation AK = 59, - K Idea production function 44 = 24.LT Resource constraint 1x: +1 = Allocation of labor (a) What would you be able to say about this country and its balanced growth path if you knew that the growth rate of output per worker was equal to the growth rate of the capital stock per worker? Lc = TL (b) What would you be able to say if you knew that capital stock per worker was growing at a faster rate than output per worker? Show what you are describing on a balanced growth path diagram (c) Show algebraically how to solve for the growth rate of output along the balanced growth path (d) Finally, how does this model differ from the one in the text? What difference does it make to change the coefficients on capital and output producing labor? 4. This problem brings together the elements of both the Solow and the Romer growth models. Output production function Y = AKYSZ Capital accumulation AK = 59, - K Idea production function 44 = 24.LT Resource constraint 1x: +1 = Allocation of labor (a) What would you be able to say about this country and its balanced growth path if you knew that the growth rate of output per worker was equal to the growth rate of the capital stock per worker? Lc = TL (b) What would you be able to say if you knew that capital stock per worker was growing at a faster rate than output per worker? Show what you are describing on a balanced growth path diagram (c) Show algebraically how to solve for the growth rate of output along the balanced growth path (d) Finally, how does this model differ from the one in the text? What difference does it make to change the coefficients on capital and output producing labor