Consider a numerical example using the Solow growth model. Suppose that F(K, N) = K^ 0.5N^ 0.5, with d = 0.1, s = 0.2, n = 0.01, and z = 1, and take a period to be a year.
(a) Determine capital per worker, income per capita, and consumption per capita in the steady state.
(b) Now, suppose that the economy is initially in the steady state that you calculated in part (a). Then, s increases to 0.4.
i. Determine capital per worker, income per capita, and consumption per capita in each of the 10 years following the increase in the savings rate.
ii. Determine capital per worker, income per capita, and consumption per capita in the new steady state.
iii. Discuss your results; in particular comment on the speed of adjustment to the new steady state after the change in the savings rate, and the paths followed by capital per worker, income per capita, and consumption per capita.

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor. required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)