Assume that a country's production function is Y = AK3L7. The ratio of capital to output is 3,

the growth rate of output is 3 percent, and the depreciation rate is 4 percent. Capital is paid its

marginal product.

a. What is the marginal product of capital in this situation? (Hint: The marginal

product of capital may be computed using calculus by differentiating the production

function and using the capital-output ratio or by using the fact that capital's share

equals MPK multiplied by K divided by Y.)

b. If the economy is in a steady state, what must be the saving rate? (Hint: The saving

rate multiplied by Y must provide for gross growth of ( + n + g)K, where is the

depreciation rate.)

c. If the economy decides to achieve the Golden Rule level of capital and actually

reaches it, what will be the marginal product of capital?

d. What must the saving rate be to achieve the Golden Rule level of capital?