Consider the following version of Solow's model of economic growth with no population growth and no technological progress:

• =1/2
• =(1)
• =
• +1 = + (+)
• =0.20
• =0.05
• =0.00

a. If capital per worker (k) is 9.0 at time 0 (k0 = 9.0), what will capital per worker be at times 1, 2, and 3? What will income per person (y) be at times 0, 1, 2, and 3?

b. What is the steady-state value of capital per worker (k*) for this economy?

c. When capital per worker reaches its steady-state value, what will income per person (y), consumption per person (c), and investment per person (i) be?

d. If the savings rate (s) doubles from 0.20 to 0.40, what will the new steady-state value of capital per worker be?

e. In the new steady-state, what will y, c, and i be?