Please assist us with this problem 1. Thank you

ANSWERS ON CANVAS BY THE DEADLINE. YOU CAN EITHER TYPE YOUR ANSWERS OR SCAN THEM MAKE SURE TO UPLOAD A UNIQUE FILE. LATE PROBLEMS WILL NOT BE ACCEPTED. Problem 1. Consider the Solow-Swan growth model, with a savings rate, s, a depreciation rate, 8, and a population growth rate, n. The production function is given by Y = AK + BK1/413/4 where A and B are positive constants. Note that this production is a mixture of Romer's AK model and the neoclassical Cobb-Douglas production function. . (i) Does this production function exhibit constant returns to scale? Explain why. . (ii) Does it exhibit diminishing returns to capital? Explain why. . (iii) Express output per person, y = Y/L, as a function of capital per person, k = K/L. . (iv) Write down an expression for y/k as a function of k and graph. (Hint: as k goes to infinity, does the ratio y/k approach zero?) . (v) Use the production function in per capita terms to write the fundamental equation of the Solow-Swan model. . (vi) Suppose first that SA 8 + n. Draw the savings and depreciation curves. Under these circumstances, will there be positive growth in the long run? Why? . (x) If s = 0.25, A = 3, B= 2, 8 = 0.15 and n = 0.1, the growth rate converges to some value as time goes to infinity. What is this value